Cremona's table of elliptic curves

55440 = 2⁴ · 3² · 5 · 7 · 11

Class	r	Atkin-Lehner	Eigenvalues
55440a (2 curves)	1	2+ 3+ 5+ 7+ 11+	2+ 3+ 5+ 7+ 11+ -2 -2  0
Curve Equation t Generators 55440a1 [0,0,0,-12423,-544122] 2 [262962:4719376:729] 55440a2 [0,0,0,-199923,-34406622] 2 [1443:51786:1]
55440b (2 curves)	1	2+ 3+ 5+ 7- 11-	2+ 3+ 5+ 7- 11- -2 -2 -8
Curve Equation t Generators 55440b1 [0,0,0,57,-58] 2 [2:8:1] 55440b2 [0,0,0,-243,-478] 2 [-13:22:1]
55440c (2 curves)	1	2+ 3+ 5- 7+ 11-	2+ 3+ 5- 7+ 11- -2  2  0
Curve Equation t Generators 55440c1 [0,0,0,-111807,14691294] 2 [153:1080:1] 55440c2 [0,0,0,-1799307,928978794] 2 [763:550:1]
55440d (2 curves)	1	2+ 3+ 5- 7- 11+	2+ 3+ 5- 7- 11+ -2  2 -8
Curve Equation t Generators 55440d1 [0,0,0,513,1566] 2 [46:350:1] 55440d2 [0,0,0,-2187,12906] 2 [-5:154:1]
55440e (2 curves)	2	2+ 3- 5+ 7+ 11+	2+ 3- 5+ 7+ 11+  0 -8 -8
Curve Equation t Generators 55440e1 [0,0,0,-1083,13498] 2 [-37:54:1]&[-7:144:1] 55440e2 [0,0,0,-3,39202] 2 [71:-630:1]&[-27:140:1]
55440f (4 curves)	0	2+ 3- 5+ 7+ 11+	2+ 3- 5+ 7+ 11+  2 -2  0
Curve Equation t 55440f1 [0,0,0,942,-24757] 2 55440f2 [0,0,0,-9183,-294082] 4 55440f3 [0,0,0,-38883,2658098] 2 55440f4 [0,0,0,-141483,-20483062] 2
55440g (4 curves)	2	2+ 3- 5+ 7+ 11+	2+ 3- 5+ 7+ 11+ -2 -2  0
Curve Equation t Generators 55440g1 [0,0,0,-423,8262] 2 [9:72:1]&[37:208:1] 55440g2 [0,0,0,-9243,341658] 4 [69:180:1]&[-71:800:1] 55440g3 [0,0,0,-11763,140562] 2 [-33:702:1]&[-14:550:1] 55440g4 [0,0,0,-147843,21880098] 2 [223:26:1]&[258:954:1]
55440h (6 curves)	0	2+ 3- 5+ 7+ 11+	2+ 3- 5+ 7+ 11+ -2  6  4
Curve Equation t 55440h1 [0,0,0,20742,3786743] 2 55440h2 [0,0,0,-274503,50494502] 4 55440h3 [0,0,0,-988923,-322575622] 4 55440h4 [0,0,0,-4284003,3412861202] 2 55440h5 [0,0,0,1755357,-1794058558] 2 55440h6 [0,0,0,-15163923,-22727580622] 2
55440i (6 curves)	0	2+ 3- 5+ 7+ 11+	2+ 3- 5+ 7+ 11+  6 -2  4
Curve Equation t 55440i1 [0,0,0,-458778,-996792473] 2 55440i2 [0,0,0,-18036903,-29322183098] 4 55440i3 [0,0,0,-29174403,11202724402] 2 55440i4 [0,0,0,-288149403,-1882672090598] 4 55440i5 [0,0,0,-287708403,-1888721993198] 2 55440i6 [0,0,0,-4610390403,-120491016267998] 2
55440j (4 curves)	2	2+ 3- 5+ 7+ 11+	2+ 3- 5+ 7+ 11+ -6  2 -4
Curve Equation t Generators 55440j1 [0,0,0,-1263,-16882] 2 [-22:16:1]&[-19:16:1] 55440j2 [0,0,0,-2883,35282] 4 [-53:198:1]&[-31:308:1] 55440j3 [0,0,0,8997,251498] 2 [-23:180:1]&[49:-900:1] 55440j4 [0,0,0,-40683,3157562] 2 [119:38:1]&[127:198:1]
55440k (4 curves)	1	2+ 3- 5+ 7+ 11-	2+ 3- 5+ 7+ 11-  2  6  4
Curve Equation t Generators 55440k1 [0,0,0,-1263,-592562] 2 [378:7276:1] 55440k2 [0,0,0,-113763,-14610062] 4 [-189:374:1] 55440k3 [0,0,0,-212763,14634538] 2 [569:8820:1] 55440k4 [0,0,0,-1814763,-940974662] 2 [1823:42534:1]
55440l (1 curve)	1	2+ 3- 5+ 7+ 11-	2+ 3- 5+ 7+ 11- -2  1  5
Curve Equation t Generators 55440l1 [0,0,0,492,-4772] 1 [161:2061:1]
55440m (6 curves)	1	2+ 3- 5+ 7+ 11-	2+ 3- 5+ 7+ 11- -2 -2 -4
Curve Equation t Generators 55440m1 [0,0,0,20022,-472673] 2 [599:15048:1] 55440m2 [0,0,0,-88023,-3951722] 4 [-222:2156:1] 55440m3 [0,0,0,-749523,247021378] 4 [-789:18634:1] 55440m4 [0,0,0,-1155243,-477583958] 4 [-618:572:1] 55440m5 [0,0,0,-905763,-689592062] 2 [3918:236444:1] 55440m6 [0,0,0,-18480243,-30578038958] 2 [-5452746:-3316:2197]
55440n (2 curves)	1	2+ 3- 5+ 7+ 11-	2+ 3- 5+ 7+ 11- -4 -4 -4
Curve Equation t Generators 55440n1 [0,0,0,-23043,-911342] 2 [-67:576:1] 55440n2 [0,0,0,64437,-6177638] 2 [119:1782:1]
55440o (4 curves)	1	2+ 3- 5+ 7+ 11-	2+ 3- 5+ 7+ 11- -6 -6  4
Curve Equation t Generators 55440o1 [0,0,0,-1098,9963] 2 [-17:154:1] 55440o2 [0,0,0,-6543,-195858] 4 [-51:72:1] 55440o3 [0,0,0,3357,-736398] 2 [114:1062:1] 55440o4 [0,0,0,-103563,-12827862] 2 [714:16650:1]
55440p (4 curves)	1	2+ 3- 5+ 7- 11+	2+ 3- 5+ 7- 11+  2  2 -8
Curve Equation t Generators 55440p1 [0,0,0,897,-20162] 2 [26:144:1] 55440p2 [0,0,0,-7923,-230078] 4 [-61:162:1] 55440p3 [0,0,0,-35643,2370058] 2 [159:850:1] 55440p4 [0,0,0,-121323,-16264838] 2 [-201:22:1]
55440q (1 curve)	1	2+ 3- 5+ 7- 11+	2+ 3- 5+ 7- 11+ -4 -1 -5
Curve Equation t Generators 55440q1 [0,0,0,-331406508,-2322396693668] 1 [4493856664307:498531656993391:163667323]
55440r (2 curves)	1	2+ 3- 5+ 7- 11+	2+ 3- 5+ 7- 11+ -4  4  0
Curve Equation t Generators 55440r1 [0,0,0,-133923,18737458] 2 [173:864:1] 55440r2 [0,0,0,-46443,42864442] 2 [-289:5670:1]
55440s (2 curves)	1	2+ 3- 5+ 7- 11+	2+ 3- 5+ 7- 11+  6 -2 -2
Curve Equation t Generators 55440s1 [0,0,0,-3,-2158] 2 [17:52:1] 55440s2 [0,0,0,-2523,-48022] 2 [-31:20:1]
55440t (4 curves)	1	2+ 3- 5+ 7- 11+	2+ 3- 5+ 7- 11+ -6 -2 -8
Curve Equation t Generators 55440t1 [0,0,0,-53058,5192507] 2 [131:700:1] 55440t2 [0,0,0,-873183,314051582] 4 [601:-2520:1] 55440t3 [0,0,0,-897483,295646762] 2 [-53:18522:1] 55440t4 [0,0,0,-13970883,20099437202] 2 [2162:322:1]
55440u (4 curves)	0	2+ 3- 5+ 7- 11-	2+ 3- 5+ 7- 11-  2 -2  0
Curve Equation t 55440u1 [0,0,0,-60957858,-143169788477] 2 55440u2 [0,0,0,-320373903,2084228257102] 4 55440u3 [0,0,0,254857677,8746675462978] 2 55440u4 [0,0,0,-5046262203,137975255968282] 2
55440v (6 curves)	0	2+ 3- 5+ 7- 11-	2+ 3- 5+ 7- 11- -2 -2  4
Curve Equation t 55440v1 [0,0,0,-579738,166831103] 2 55440v2 [0,0,0,-1238583,-282369418] 4 55440v3 [0,0,0,4097517,-2067828478] 2 55440v4 [0,0,0,-17116203,-27245743702] 4 55440v5 [0,0,0,-14443203,-36043655902] 2 55440v6 [0,0,0,-273831123,-1744103785678] 2
55440w (1 curve)	0	2+ 3- 5+ 7- 11-	2+ 3- 5+ 7- 11-  4  7  1
Curve Equation t 55440w1 [0,0,0,-8508,306668] 1
55440x (2 curves)	2	2+ 3- 5+ 7- 11-	2+ 3- 5+ 7- 11- -4 -4 -4
Curve Equation t Generators 55440x1 [0,0,0,-56523,5172298] 2 [-247:2016:1]&[131:126:1] 55440x2 [0,0,0,-55443,5379442] 2 [-43:2772:1]&[-211:2772:1]
55440y (6 curves)	0	2+ 3- 5+ 7- 11-	2+ 3- 5+ 7- 11-  6 -2 -4
Curve Equation t 55440y1 [0,0,0,-9498,316447] 2 55440y2 [0,0,0,-37623,-2479178] 4 55440y3 [0,0,0,56877,-12930878] 2 55440y4 [0,0,0,-582123,-170947478] 4 55440y5 [0,0,0,-562323,-183116558] 2 55440y6 [0,0,0,-9313923,-10940749598] 2
55440z (4 curves)	0	2+ 3- 5+ 7- 11-	2+ 3- 5+ 7- 11-  6  6  4
Curve Equation t 55440z1 [0,0,0,582,9763] 2 55440z2 [0,0,0,-4863,108862] 4 55440z3 [0,0,0,-22683,-1213382] 2 55440z4 [0,0,0,-74163,7773442] 2
55440ba (4 curves)	1	2+ 3- 5- 7+ 11+	2+ 3- 5- 7+ 11+  2  2  0
Curve Equation t Generators 55440ba1 [0,0,0,140478,97758439] 2 [423:15260:1] 55440ba2 [0,0,0,-2516727,1440709846] 4 [117:33880:1] 55440ba3 [0,0,0,-7984227,-6956276654] 2 [25666:169785:8] 55440ba4 [0,0,0,-39564507,95786586394] 4 [-37:311850:1]
55440bb (4 curves)	1	2+ 3- 5- 7+ 11+	2+ 3- 5- 7+ 11+  2  6  4
Curve Equation t Generators 55440bb1 [0,0,0,-35450607,81241215694] 2 [3513:7600:1] 55440bb2 [0,0,0,-36631587,75538735666] 4 [-3598:400950:1] 55440bb3 [0,0,0,54493413,391542010666] 2 [-598:598950:1] 55440bb4 [0,0,0,-146652267,-605423261126] 2 [-6342:263750:1]
55440bc (4 curves)	1	2+ 3- 5- 7+ 11+	2+ 3- 5- 7+ 11+  2  6 -4
Curve Equation t Generators 55440bc1 [0,0,0,-2127,18286] 2 [105:976:1] 55440bc2 [0,0,0,-16707,-818606] 4 [-75:112:1] 55440bc3 [0,0,0,-507,-2338166] 2 [330:5782:1] 55440bc4 [0,0,0,-266187,-52860134] 2 [602:2250:1]
55440bd (1 curve)	1	2+ 3- 5- 7+ 11+	2+ 3- 5- 7+ 11+ -4 -1 -3
Curve Equation t Generators 55440bd1 [0,0,0,5748,42604] 1 [-7:45:1]
55440be (4 curves)	1	2+ 3- 5- 7+ 11+	2+ 3- 5- 7+ 11+ -6  2 -4
Curve Equation t Generators 55440be1 [0,0,0,393,-7306] 2 [38:250:1] 55440be2 [0,0,0,-4107,-89206] 4 [-37:110:1] 55440be3 [0,0,0,-16707,739874] 2 [175:1782:1] 55440be4 [0,0,0,-63507,-6159886] 2 [-145:2:1]
55440bf (4 curves)	0	2+ 3- 5- 7+ 11-	2+ 3- 5- 7+ 11-  2  2  8
Curve Equation t 55440bf1 [0,0,0,-642,-167501] 2 55440bf2 [0,0,0,-49647,-4215314] 4 55440bf3 [0,0,0,-91227,3876154] 2 55440bf4 [0,0,0,-792147,-271366814] 2
55440bg (4 curves)	0	2+ 3- 5- 7+ 11-	2+ 3- 5- 7+ 11- -2  2 -4
Curve Equation t 55440bg1 [0,0,0,-4602,-119761] 2 55440bg2 [0,0,0,-6807,6806] 4 55440bg3 [0,0,0,27213,54434] 4 55440bg4 [0,0,0,-76107,8059466] 2
55440bh (1 curve)	0	2+ 3- 5- 7+ 11-	2+ 3- 5- 7+ 11- -4  7 -1
Curve Equation t 55440bh1 [0,0,0,-55452,-7572724] 1
55440bi (4 curves)	0	2+ 3- 5- 7+ 11-	2+ 3- 5- 7+ 11-  6  2  4
Curve Equation t 55440bi1 [0,0,0,-365322,75375911] 2 55440bi2 [0,0,0,-5659527,5182166054] 4 55440bi3 [0,0,0,-5474307,5537158706] 4 55440bi4 [0,0,0,-90552027,331661742554] 2
55440bj (4 curves)	0	2+ 3- 5- 7- 11+	2+ 3- 5- 7- 11+  2  2  0
Curve Equation t 55440bj1 [0,0,0,-373602,-87894529] 2 55440bj2 [0,0,0,-374727,-87338554] 4 55440bj3 [0,0,0,-66027,-226932694] 2 55440bj4 [0,0,0,-701427,87837986] 4
55440bk (1 curve)	0	2+ 3- 5- 7- 11+	2+ 3- 5- 7- 11+  2 -3  5
Curve Equation t 55440bk1 [0,0,0,-15859812,28907757884] 1
55440bl (4 curves)	0	2+ 3- 5- 7- 11+	2+ 3- 5- 7- 11+  2  6 -4
Curve Equation t 55440bl1 [0,0,0,-10407,-408634] 2 55440bl2 [0,0,0,-10587,-393766] 4 55440bl3 [0,0,0,9213,-1696606] 2 55440bl4 [0,0,0,-33267,1860626] 2
55440bm (4 curves)	0	2+ 3- 5- 7- 11+	2+ 3- 5- 7- 11+  2 -6  0
Curve Equation t 55440bm1 [0,0,0,-642,5339] 2 55440bm2 [0,0,0,-2847,-53314] 4 55440bm3 [0,0,0,3453,-256174] 2 55440bm4 [0,0,0,-44427,-3604246] 2
55440bn (2 curves)	0	2+ 3- 5- 7- 11+	2+ 3- 5- 7- 11+ -4  0  0
Curve Equation t 55440bn1 [0,0,0,-13795347,7921122914] 2 55440bn2 [0,0,0,49977573,60508272746] 2
55440bo (1 curve)	0	2+ 3- 5- 7- 11+	2+ 3- 5- 7- 11+  6  5  5
Curve Equation t 55440bo1 [0,0,0,-3972,-110644] 1
55440bp (2 curves)	1	2+ 3- 5- 7- 11-	2+ 3- 5- 7- 11-  0 -4  4
Curve Equation t Generators 55440bp1 [0,0,0,393,-394] 2 [2:20:1] 55440bp2 [0,0,0,-1587,-3166] 2 [-37:70:1]
55440bq (2 curves)	1	2+ 3- 5- 7- 11-	2+ 3- 5- 7- 11-  0 -4  4
Curve Equation t Generators 55440bq1 [0,0,0,-2772507,1776875546] 2 [475:23814:1] 55440bq2 [0,0,0,-2762787,1789952834] 2 [1165:-12348:1]
55440br (4 curves)	1	2+ 3- 5- 7- 11-	2+ 3- 5- 7- 11-  2 -2  0
Curve Equation t Generators 55440br1 [0,0,0,467433,-68711274] 2 [262:8470:1] 55440br2 [0,0,0,-2167947,-588935286] 4 [1923:-48510:1] 55440br3 [0,0,0,-17109027,26833922946] 2 [2847:34650:1] 55440br4 [0,0,0,-29392947,-61306130286] 2 [-3137:5390:1]
55440bs (4 curves)	1	2+ 3- 5- 7- 11-	2+ 3- 5- 7- 11- -2  2  0
Curve Equation t Generators 55440bs1 [0,0,0,3273,69046] 2 [17:360:1] 55440bs2 [0,0,0,-18507,648394] 4 [-67:1260:1] 55440bs3 [0,0,0,-117507,-15013406] 2 [-177:490:1] 55440bs4 [0,0,0,-267987,53388466] 2 [317:540:1]
55440bt (4 curves)	0	2- 3+ 5+ 7+ 11+	2- 3+ 5+ 7+ 11+  2  6  4
Curve Equation t 55440bt1 [0,0,0,4197,-482998] 2 55440bt2 [0,0,0,-72603,-7041718] 2 55440bt3 [0,0,0,-38043,13571658] 2 55440bt4 [0,0,0,-1118043,453563658] 2
55440bu (4 curves)	0	2- 3+ 5+ 7+ 11+	2- 3+ 5+ 7+ 11+  2 -6  4
Curve Equation t 55440bu1 [0,0,0,-6648,-208633] 2 55440bu2 [0,0,0,-6543,-215542] 2 55440bu3 [0,0,0,-9288,-27837] 2 55440bu4 [0,0,0,37017,-222318] 2
55440bv (2 curves)	0	2- 3+ 5+ 7+ 11+	2- 3+ 5+ 7+ 11+ -2 -2  4
Curve Equation t 55440bv1 [0,0,0,-1203,-19598] 2 55440bv2 [0,0,0,-20403,-1121678] 2
55440bw (2 curves)	0	2- 3+ 5+ 7+ 11+	2- 3+ 5+ 7+ 11+ -2 -2 -4
Curve Equation t 55440bw1 [0,0,0,134877,9934178] 2 55440bw2 [0,0,0,-615123,84484178] 2
55440bx (2 curves)	0	2- 3+ 5+ 7+ 11+	2- 3+ 5+ 7+ 11+  6  2 -8
Curve Equation t 55440bx1 [0,0,0,-48,-117] 2 55440bx2 [0,0,0,57,-558] 2
55440by (2 curves)	1	2- 3+ 5+ 7+ 11-	2- 3+ 5+ 7+ 11- -4  2  6
Curve Equation t Generators 55440by1 [0,0,0,-7668,-258417] 2 [8589:795960:1] 55440by2 [0,0,0,-8343,-210222] 2 [-74:44:1]
55440bz (2 curves)	1	2- 3+ 5+ 7+ 11-	2- 3+ 5+ 7+ 11- -4  2  6
Curve Equation t Generators 55440bz1 [0,0,0,-3013443,2013202242] 2 [991:350:1] 55440bz2 [0,0,0,-2736963,2397564738] 2 [-1689:46926:1]
55440ca (2 curves)	1	2- 3+ 5+ 7- 11+	2- 3+ 5+ 7- 11+  2  0  2
Curve Equation t Generators 55440ca1 [0,0,0,-3723,-80838] 2 [-33:78:1] 55440ca2 [0,0,0,3957,-371142] 2 [69:480:1]
55440cb (2 curves)	0	2- 3+ 5+ 7- 11-	2- 3+ 5+ 7- 11-  6  6  4
Curve Equation t 55440cb1 [0,0,0,-3,-702] 2 55440cb2 [0,0,0,-1203,-15822] 2
55440cc (2 curves)	0	2- 3+ 5+ 7- 11-	2- 3+ 5+ 7- 11-  6 -6  0
Curve Equation t 55440cc1 [0,0,0,-34368,-2452333] 2 55440cc2 [0,0,0,-34263,-2468062] 2
55440cd (2 curves)	2	2- 3+ 5+ 7- 11-	2- 3+ 5+ 7- 11- -6  0 -6
Curve Equation t Generators 55440cd1 [0,0,0,-4203,104858] 2 [31:66:1]&[-17:414:1] 55440cd2 [0,0,0,-3723,129722] 2 [-67:280:1]&[-19:-440:1]
55440ce (2 curves)	1	2- 3+ 5- 7+ 11+	2- 3+ 5- 7+ 11+ -4 -2  6
Curve Equation t Generators 55440ce1 [0,0,0,-334827,-74563046] 2 [-337:30:1] 55440ce2 [0,0,0,-304107,-88798694] 2 [1397:-47040:1]
55440cf (2 curves)	1	2- 3+ 5- 7+ 11+	2- 3+ 5- 7+ 11+ -4 -2  6
Curve Equation t Generators 55440cf1 [0,0,0,-852,9571] 2 [-3:110:1] 55440cf2 [0,0,0,-927,7786] 2 [50:294:1]
55440cg (4 curves)	0	2- 3+ 5- 7+ 11-	2- 3+ 5- 7+ 11-  2  6  4
Curve Equation t 55440cg1 [0,0,0,-1032,1031] 2 55440cg2 [0,0,0,4113,8234] 2 55440cg3 [0,0,0,-59832,5633091] 2 55440cg4 [0,0,0,-58887,5819634] 2
55440ch (4 curves)	0	2- 3+ 5- 7+ 11-	2- 3+ 5- 7+ 11-  2 -6  4
Curve Equation t 55440ch1 [0,0,0,-4227,-502654] 2 55440ch2 [0,0,0,-124227,-16798654] 2 55440ch3 [0,0,0,37773,13040946] 2 55440ch4 [0,0,0,-653427,190126386] 2
55440ci (2 curves)	0	2- 3+ 5- 7+ 11-	2- 3+ 5- 7+ 11- -2  2  4
Curve Equation t 55440ci1 [0,0,0,-10827,529146] 2 55440ci2 [0,0,0,-183627,30285306] 2
55440cj (2 curves)	0	2- 3+ 5- 7+ 11-	2- 3+ 5- 7+ 11- -2  2 -4
Curve Equation t 55440cj1 [0,0,0,1213893,-268222806] 2 55440cj2 [0,0,0,-5536107,-2281072806] 2
55440ck (2 curves)	0	2- 3+ 5- 7+ 11-	2- 3+ 5- 7+ 11-  6 -2 -8
Curve Equation t 55440ck1 [0,0,0,-432,3159] 2 55440ck2 [0,0,0,513,15066] 2
55440cl (2 curves)	0	2- 3+ 5- 7- 11+	2- 3+ 5- 7- 11+  6  6  0
Curve Equation t 55440cl1 [0,0,0,-309312,66212991] 2 55440cl2 [0,0,0,-308367,66637674] 2
55440cm (2 curves)	0	2- 3+ 5- 7- 11+	2- 3+ 5- 7- 11+  6 -6  4
Curve Equation t 55440cm1 [0,0,0,-27,18954] 2 55440cm2 [0,0,0,-10827,427194] 2
55440cn (2 curves)	0	2- 3+ 5- 7- 11+	2- 3+ 5- 7- 11+ -6  0 -6
Curve Equation t 55440cn1 [0,0,0,-37827,-2831166] 2 55440cn2 [0,0,0,-33507,-3502494] 2
55440co (2 curves)	1	2- 3+ 5- 7- 11-	2- 3+ 5- 7- 11-  2  0  2
Curve Equation t Generators 55440co1 [0,0,0,-33507,2182626] 2 [130:154:1] 55440co2 [0,0,0,35613,10020834] 2 [135:4158:1]
55440cp (4 curves)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+  2 -6 -2
Curve Equation t Generators 55440cp1 [0,0,0,1437,171362] 2 [17:448:1] 55440cp2 [0,0,0,-38883,2824418] 2 [-31:2000:1] 55440cp3 [0,0,0,-12963,-4687198] 2 [2897:155792:1] 55440cp4 [0,0,0,-506883,-138144382] 2 [-391:520:1]
55440cq (8 curves)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+  2 -6  4
Curve Equation t Generators 55440cq1 [0,0,0,-168843,12140858] 2 [581:10496:1] 55440cq2 [0,0,0,-2268363,1314263162] 4 [-38:37422:1] 55440cq3 [0,0,0,-6875643,-6938961622] 2 [-4935223244:-725263227:3241792] 55440cq4 [0,0,0,-1840683,1824998618] 2 [58:41454:1] 55440cq5 [0,0,0,-36288363,84139355162] 2 [3962:50578:1] 55440cq6 [0,0,0,-7290363,-6054695638] 4 [-16702:64935:8] 55440cq7 [0,0,0,15709317,-36547671382] 2 [34178794:-646951475:17576] 55440cq8 [0,0,0,-36925563,81031303082] 2 [4198082:-3040901721:8]
55440cr (4 curves)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+ -2 -2  4
Curve Equation t Generators 55440cr1 [0,0,0,-11163,-447158] 2 [-58:72:1] 55440cr2 [0,0,0,-22683,633418] 4 [-97:1386:1] 55440cr3 [0,0,0,78117,4725898] 2 [63:3146:1] 55440cr4 [0,0,0,-307803,65697802] 2 [351:950:1]
55440cs (6 curves)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+ -2 -2  4
Curve Equation t Generators 55440cs1 [0,0,0,-47930403,149652428578] 2 [5111:195426:1] 55440cs2 [0,0,0,-802905123,8756515231522] 4 [-16849:4183470:1] 55440cs3 [0,0,0,-839031843,7925376685858] 4 [-1356873987:-330445539050:79507] 55440cs4 [0,0,0,-12846373923,560426873165602] 2 [1641663433:-435896729406:12167] 55440cs5 [0,0,0,1522268637,44477835856162] 2 [-2882683661672665977:-69966478526618687158750:10540480342167593] 55440cs6 [0,0,0,-3778359843,-81819949406942] 2 [-4411201970352913197:-348022936254617661622:137044911905693]
55440ct (6 curves)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+ -2 -2 -4
Curve Equation t Generators 55440ct1 [0,0,0,5037,-39970222] 2 [65245:1280032:125] 55440ct2 [0,0,0,-1723683,-855580318] 4 [-799:3400:1] 55440ct3 [0,0,0,-3664083,1423613522] 2 [8903:821270:1] 55440ct4 [0,0,0,-27442803,-55333820302] 4 [-14856113:-629750:4913] 55440ct5 [0,0,0,-27306723,-55909738078] 2 [192762068213:-32534689806250:6539203] 55440ct6 [0,0,0,-439084803,-3541365261502] 2 [-713783959677461:1104503290:59000162957]
55440cu (1 curve)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+ -2  3 -1
Curve Equation t Generators 55440cu1 [0,0,0,-48,14128] 1 [17:135:1]
55440cv (4 curves)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+ -2  6 -4
Curve Equation t Generators 55440cv1 [0,0,0,-2338923,-1376803622] 2 [-542265490:695196:614125] 55440cv2 [0,0,0,-2339643,-1375913558] 4 [51807:935000:27] 55440cv3 [0,0,0,-1709643,-2133551558] 2 [6322785:118783522:3375] 55440cv4 [0,0,0,-2981163,-561311462] 2 [260550789:-4519843750:132651]
55440cw (2 curves)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+  4 -2 -2
Curve Equation t Generators 55440cw1 [0,0,0,-33278628,-286796059877] 2 [3911574257764135673775530253821:160995034873794047210802602528094:436107281121031857815443321] 55440cw2 [0,0,0,-887575503,-10152728950502] 2 [174187528617920059315377790540926628729142282930092138354847882:-85760479787119440151829751176918048055077442239890602699598597077:707569578697493345886353314853008881041173662269553950632]
55440cx (2 curves)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+  4  4  8
Curve Equation t Generators 55440cx1 [0,0,0,-3,12098] 2 [-1:110:1] 55440cx2 [0,0,0,-7923,267122] 2 [-17:630:1]
55440cy (2 curves)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+  4  4 -8
Curve Equation t Generators 55440cy1 [0,0,0,-719283,-234789518] 2 [280196:18162063:64] 55440cy2 [0,0,0,-680403,-261297902] 2 [1106:18414:1]
55440cz (2 curves)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+  4 -8  4
Curve Equation t Generators 55440cz1 [0,0,0,-768,8143] 2 [-19:126:1] 55440cz2 [0,0,0,-1263,-3638] 2 [146:1710:1]
55440da (2 curves)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+ -4 -3  7
Curve Equation t Generators 55440da1 [0,0,0,-20208,2287532] 1 [-146:1458:1] 55440da2 [0,0,0,174192,-48470308] 1 [394:9018:1]
55440db (4 curves)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+  6 -2 -4
Curve Equation t Generators 55440db1 [0,0,0,-454683,8063498] 2 [2021:85696:1] 55440db2 [0,0,0,-5178603,4525075802] 4 [-1169:94770:1] 55440db3 [0,0,0,-3137403,8128610282] 2 [-1001:101322:1] 55440db4 [0,0,0,-82802523,290010328778] 2 [9479:597350:1]
55440dc (4 curves)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+ -6  2  4
Curve Equation t Generators 55440dc1 [0,0,0,-4203,-1109862] 2 [342:6120:1] 55440dc2 [0,0,0,-188523,-31301478] 4 [-249:450:1] 55440dc3 [0,0,0,-315243,16066458] 2 [1159:34750:1] 55440dc4 [0,0,0,-3010923,-2010932838] 2 [2023:13310:1]
55440dd (2 curves)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11- -2  2 -4
Curve Equation t 55440dd1 [0,0,0,2472,185803] 2 55440dd2 [0,0,0,-37623,2599522] 2
55440de (1 curve)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11-  4  5  5
Curve Equation t 55440de1 [0,0,0,55392,-164454932] 1
55440df (4 curves)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11- -4  0  4
Curve Equation t 55440df1 [0,0,0,-22368,-1168333] 2 55440df2 [0,0,0,-82263,7803938] 2 55440df3 [0,0,0,-1764768,-902359393] 2 55440df4 [0,0,0,-1765263,-901827862] 2
55440dg (2 curves)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11- -6  7  5
Curve Equation t 55440dg1 [0,0,0,-1287408,658430768] 1 55440dg2 [0,0,0,-3857808,-55137877072] 1
55440dh (4 curves)	0	2- 3- 5+ 7- 11+	2- 3- 5+ 7- 11+  2  2 -4
Curve Equation t 55440dh1 [0,0,0,-28803,-1630078] 2 55440dh2 [0,0,0,-443523,-113687422] 4 55440dh3 [0,0,0,-426243,-122952958] 2 55440dh4 [0,0,0,-7096323,-7276091902] 2
55440di (4 curves)	0	2- 3- 5+ 7- 11+	2- 3- 5+ 7- 11+  2  2  8
Curve Equation t 55440di1 [0,0,0,-137163,26175098] 2 55440di2 [0,0,0,-2395083,1426537082] 4 55440di3 [0,0,0,-2596683,1172238842] 2 55440di4 [0,0,0,-38320203,91304002298] 2
55440dj (2 curves)	0	2- 3- 5+ 7- 11+	2- 3- 5+ 7- 11+  2  6 -4
Curve Equation t 55440dj1 [0,0,0,72,243] 2 55440dj2 [0,0,0,-423,2322] 2
55440dk (4 curves)	0	2- 3- 5+ 7- 11+	2- 3- 5+ 7- 11+  2 -6 -4
Curve Equation t 55440dk1 [0,0,0,-1740843,-1064063142] 2 55440dk2 [0,0,0,-29400363,-61356284838] 4 55440dk3 [0,0,0,-30952683,-54517073382] 2 55440dk4 [0,0,0,-470400363,-3926897684838] 2
55440dl (6 curves)	0	2- 3- 5+ 7- 11+	2- 3- 5+ 7- 11+ -2  6  4
Curve Equation t 55440dl1 [0,0,0,5037,1611538] 2 55440dl2 [0,0,0,-179283,28190482] 4 55440dl3 [0,0,0,-467283,-85108718] 4 55440dl4 [0,0,0,-2840403,1842542098] 2 55440dl5 [0,0,0,1275117,-570541358] 2 55440dl6 [0,0,0,-6817683,-6850824878] 2
55440dm (2 curves)	0	2- 3- 5+ 7- 11+	2- 3- 5+ 7- 11+  4 -2  6
Curve Equation t 55440dm1 [0,0,0,492,45043] 2 55440dm2 [0,0,0,-16383,777418] 2
55440dn (1 curve)	0	2- 3- 5+ 7- 11+	2- 3- 5+ 7- 11+ -4  5 -1
Curve Equation t 55440dn1 [0,0,0,78432,4410992] 1
55440do (4 curves)	0	2- 3- 5+ 7- 11+	2- 3- 5+ 7- 11+ -6  2  0
Curve Equation t 55440do1 [0,0,0,27717,-362518] 2 55440do2 [0,0,0,-113403,-2930902] 4 55440do3 [0,0,0,-1111323,448328522] 2 55440do4 [0,0,0,-1373403,-618566902] 2
55440dp (2 curves)	1	2- 3- 5+ 7- 11-	2- 3- 5+ 7- 11-  0  0  0
Curve Equation t Generators 55440dp1 [0,0,0,4677,959978] 2 [79:1350:1] 55440dp2 [0,0,0,-122043,15684842] 2 [-401:378:1]
55440dq (2 curves)	1	2- 3- 5+ 7- 11-	2- 3- 5+ 7- 11-  0  6  6
Curve Equation t Generators 55440dq1 [0,0,0,1212,-1213] 2 [241:3780:1] 55440dq2 [0,0,0,-4863,-9718] 2 [82:378:1]
55440dr (6 curves)	1	2- 3- 5+ 7- 11-	2- 3- 5+ 7- 11- -2  6  4
Curve Equation t Generators 55440dr1 [0,0,0,-38163,2869522] 2 [114:22:1] 55440dr2 [0,0,0,-38883,2755618] 4 [-127:2376:1] 55440dr3 [0,0,0,36717,12175378] 2 [-57:3146:1] 55440dr4 [0,0,0,-126003,-13953998] 4 [-199:1800:1] 55440dr5 [0,0,0,262077,-82954622] 2 [879:28750:1] 55440dr6 [0,0,0,-1908003,-1014368798] 2 [-793:18:1]
55440ds (1 curve)	1	2- 3- 5+ 7- 11-	2- 3- 5+ 7- 11- -6  3 -3
Curve Equation t Generators 55440ds1 [0,0,0,-17677848,28621396172] 1 [2242:-16038:1]
55440dt (4 curves)	1	2- 3- 5+ 7- 11-	2- 3- 5+ 7- 11- -6 -6  4
Curve Equation t Generators 55440dt1 [0,0,0,-5283,198882] 2 [1:440:1] 55440dt2 [0,0,0,-92403,10810098] 4 [111:1386:1] 55440dt3 [0,0,0,-100323,8847522] 2 [87:882:1] 55440dt4 [0,0,0,-1478403,691890498] 2 [703:46:1]
55440du (2 curves)	0	2- 3- 5- 7+ 11+	2- 3- 5- 7+ 11+  2 -2  0
Curve Equation t 55440du1 [0,0,0,41568,-5228669] 2 55440du2 [0,0,0,-319287,-56253566] 2
55440dv (2 curves)	0	2- 3- 5- 7+ 11+	2- 3- 5- 7+ 11+  2 -2 -6
Curve Equation t 55440dv1 [0,0,0,-507,-9686] 2 55440dv2 [0,0,0,-10587,-418934] 2
55440dw (4 curves)	0	2- 3- 5- 7+ 11+	2- 3- 5- 7+ 11+  2  6 -2
Curve Equation t 55440dw1 [0,0,0,-131547,18441866] 2 55440dw2 [0,0,0,-2107227,1177375754] 2 55440dw3 [0,0,0,327093,97913594] 2 55440dw4 [0,0,0,-2253387,1004694266] 2
55440dx (8 curves)	0	2- 3- 5- 7+ 11+	2- 3- 5- 7+ 11+  2  6  4
Curve Equation t 55440dx1 [0,0,0,-41260827,102012877514] 2 55440dx2 [0,0,0,-41306907,101773602506] 4 55440dx3 [0,0,0,-44027787,87550667066] 2 55440dx4 [0,0,0,-20311707,205149768266] 2 55440dx5 [0,0,0,-63039387,-16916163766] 2 55440dx6 [0,0,0,-232771467,-1292052387526] 4 55440dx7 [0,0,0,181948533,-5395209123526] 2 55440dx8 [0,0,0,-3667390347,-85483491145414] 2
55440dy (4 curves)	0	2- 3- 5- 7+ 11+	2- 3- 5- 7+ 11+  2  6 -8
Curve Equation t 55440dy1 [0,0,0,-23952,1447931] 2 55440dy2 [0,0,0,-384807,91878194] 2 55440dy3 [0,0,0,92688,6938759] 2 55440dy4 [0,0,0,-446367,60520826] 2
55440dz (8 curves)	0	2- 3- 5- 7+ 11+	2- 3- 5- 7+ 11+  2 -6  4
Curve Equation t 55440dz1 [0,0,0,228813,5274866] 2 55440dz2 [0,0,0,-923187,42369266] 4 55440dz3 [0,0,0,-2916147,-2104412686] 2 55440dz4 [0,0,0,-9476787,-11178243214] 2 55440dz5 [0,0,0,-10801587,13637023346] 2 55440dz6 [0,0,0,-47916147,-127663412686] 4 55440dz7 [0,0,0,-766656147,-8170507760686] 2 55440dz8 [0,0,0,-49176147,-120595064686] 2
55440ea (1 curve)	0	2- 3- 5- 7+ 11+	2- 3- 5- 7+ 11+  2  7 -3
Curve Equation t 55440ea1 [0,0,0,-51672,4522156] 1
55440eb (4 curves)	2	2- 3- 5- 7+ 11+	2- 3- 5- 7+ 11+ -2 -6 -4
Curve Equation t Generators 55440eb1 [0,0,0,-29307,1929706] 2 [117:-320:1]&[-115:1944:1] 55440eb2 [0,0,0,-35787,1013434] 4 [-187:1080:1]&[-147:1760:1] 55440eb3 [0,0,0,130533,7766026] 4 [-43:1440:1]&[-33:1850:1] 55440eb4 [0,0,0,-305787,-64380566] 2 [-337:630:1]&[-297:490:1]
55440ec (4 curves)	0	2- 3- 5- 7+ 11+	2- 3- 5- 7+ 11+ -4  0  4
Curve Equation t 55440ec1 [0,0,0,-8067,5427074] 2 55440ec2 [0,0,0,-514947,140966786] 2 55440ec3 [0,0,0,72573,-146192254] 2 55440ec4 [0,0,0,-3760707,-2727523006] 2
55440ed (4 curves)	0	2- 3- 5- 7+ 11+	2- 3- 5- 7+ 11+ -4  0 -8
Curve Equation t 55440ed1 [0,0,0,-46227,-2924206] 2 55440ed2 [0,0,0,109293,-18382894] 2 55440ed3 [0,0,0,-3493587,-2513364334] 2 55440ed4 [0,0,0,-3489267,-2519890126] 2
55440ee (2 curves)	0	2- 3- 5- 7+ 11+	2- 3- 5- 7+ 11+ -4 -3  1
Curve Equation t 55440ee1 [0,0,0,-192,-59344] 1 55440ee2 [0,0,0,-121152,-16231696] 1
55440ef (4 curves)	2	2- 3- 5- 7+ 11+	2- 3- 5- 7+ 11+ -6 -2 -4
Curve Equation t Generators 55440ef1 [0,0,0,-10587,418826] 2 [-89:810:1]&[-35:864:1] 55440ef2 [0,0,0,-13467,172874] 4 [-115:448:1]&[-67:880:1] 55440ef3 [0,0,0,51333,1352234] 2 [95:2662:1]&[199:4410:1] 55440ef4 [0,0,0,-124347,-16747414] 2 [-214:250:1]&[-203:360:1]
55440eg (1 curve)	1	2- 3- 5- 7+ 11-	2- 3- 5- 7+ 11-  0 -3  3
Curve Equation t Generators 55440eg1 [0,0,0,-18912,3235696] 1 [-175:1089:1]
55440eh (2 curves)	1	2- 3- 5- 7+ 11-	2- 3- 5- 7+ 11-  2  3  7
Curve Equation t Generators 55440eh1 [0,0,0,2328,108236] 1 [202:2970:1] 55440eh2 [0,0,0,-21432,-3317956] 1 [238:2250:1]
55440ei (4 curves)	1	2- 3- 5- 7+ 11-	2- 3- 5- 7+ 11- -4  0  4
Curve Equation t Generators 55440ei1 [0,0,0,-129387,17489306] 2 [-305:5346:1] 55440ei2 [0,0,0,26133,56898074] 2 [133:-7920:1] 55440ei3 [0,0,0,-1341147,-591341686] 2 [-665:2538:1] 55440ei4 [0,0,0,-235227,-1537345654] 2 [1565:43904:1]
55440ej (4 curves)	1	2- 3- 5- 7+ 11-	2- 3- 5- 7+ 11- -6 -6  0
Curve Equation t Generators 55440ej1 [0,0,0,-124347,-16843286] 2 [-202:180:1] 55440ej2 [0,0,0,-170427,-3231254] 4 [-313:4410:1] 55440ej3 [0,0,0,676293,-25754006] 4 [93:6160:1] 55440ej4 [0,0,0,-1754427,890461546] 2 [887:5670:1]
55440ek (2 curves)	1	2- 3- 5- 7- 11+	2- 3- 5- 7- 11+  0  2  6
Curve Equation t Generators 55440ek1 [0,0,0,-740892,-336961501] 2 [1993:78120:1] 55440ek2 [0,0,0,-13042767,-18127933126] 2 [14398:1666980:1]
55440el (1 curve)	1	2- 3- 5- 7- 11+	2- 3- 5- 7- 11+  0 -3  1
Curve Equation t Generators 55440el1 [0,0,0,-192,1244] 1 [10:18:1]
55440em (2 curves)	1	2- 3- 5- 7- 11+	2- 3- 5- 7- 11+  0 -4  0
Curve Equation t Generators 55440em1 [0,0,0,-24267,-1226374] 2 [-113:270:1] 55440em2 [0,0,0,44853,-6935686] 2 [293:-5600:1]
55440en (4 curves)	1	2- 3- 5- 7- 11+	2- 3- 5- 7- 11+  2 -2 -4
Curve Equation t Generators 55440en1 [0,0,0,-72147,-6476654] 2 [-135:896:1] 55440en2 [0,0,0,-305427,58515154] 4 [-295:11088:1] 55440en3 [0,0,0,407373,291030514] 2 [-25:16758:1] 55440en4 [0,0,0,-4750707,3985475506] 2 [1217:-2520:1]
55440eo (4 curves)	1	2- 3- 5- 7- 11+	2- 3- 5- 7- 11+ -2 -2  0
Curve Equation t Generators 55440eo1 [0,0,0,-1002027,-383078054] 2 [-538:540:1] 55440eo2 [0,0,0,-1739307,255848794] 4 [-577:32670:1] 55440eo3 [0,0,0,6624213,2000479066] 4 [437:70560:1] 55440eo4 [0,0,0,-21899307,39402536794] 2 [3503:75330:1]
55440ep (1 curve)	1	2- 3- 5- 7- 11+	2- 3- 5- 7- 11+ -2  3  5
Curve Equation t Generators 55440ep1 [0,0,0,1194288,496775536] 1 [-295:10899:1]
55440eq (4 curves)	1	2- 3- 5- 7- 11+	2- 3- 5- 7- 11+ -2 -6 -4
Curve Equation t Generators 55440eq1 [0,0,0,-1587,-19406] 2 [-15:32:1] 55440eq2 [0,0,0,-8067,261826] 4 [-15:616:1] 55440eq3 [0,0,0,7053,1129714] 2 [39:1210:1] 55440eq4 [0,0,0,-126867,17392786] 4 [-319:5040:1]
55440er (4 curves)	1	2- 3- 5- 7- 11+	2- 3- 5- 7- 11+ -6  6  4
Curve Equation t Generators 55440er1 [0,0,0,-142707,-14301646] 2 [2290:108018:1] 55440er2 [0,0,0,-879987,306710066] 4 [-823:21760:1] 55440er3 [0,0,0,387213,1117464626] 2 [-625:25126:1] 55440er4 [0,0,0,-13943667,20040705074] 2 [-3287:174240:1]
55440es (1 curve)	0	2- 3- 5- 7- 11-	2- 3- 5- 7- 11- -2 -1  7
Curve Equation t 55440es1 [0,0,0,-18192,947504] 1
55440et (4 curves)	0	2- 3- 5- 7- 11-	2- 3- 5- 7- 11- -2  2  4
Curve Equation t 55440et1 [0,0,0,-507,-31894] 2 55440et2 [0,0,0,-18507,-964294] 4 55440et3 [0,0,0,-29307,290666] 4 55440et4 [0,0,0,-295707,-61892854] 2
55440eu (4 curves)	0	2- 3- 5- 7- 11-	2- 3- 5- 7- 11- -2  2 -4
Curve Equation t 55440eu1 [0,0,0,36933,3637226] 2 55440eu2 [0,0,0,-251067,37102826] 4 55440eu3 [0,0,0,-1359867,-579168214] 2 55440eu4 [0,0,0,-3750267,2795172266] 4
55440ev (4 curves)	0	2- 3- 5- 7- 11-	2- 3- 5- 7- 11- -2 -6 -8
Curve Equation t 55440ev1 [0,0,0,-5829267,-5789950126] 2 55440ev2 [0,0,0,-95040147,-356620656814] 4 55440ev3 [0,0,0,-96814227,-342615004846] 2 55440ev4 [0,0,0,-1520640147,-22823791536814] 2
55440ew (2 curves)	0	2- 3- 5- 7- 11-	2- 3- 5- 7- 11-  4  0  4
Curve Equation t 55440ew1 [0,0,0,-867,866] 2 55440ew2 [0,0,0,3453,6914] 2
55440ex (4 curves)	0	2- 3- 5- 7- 11-	2- 3- 5- 7- 11-  6 -2  0
Curve Equation t 55440ex1 [0,0,0,-28572267,-58638466406] 2 55440ex2 [0,0,0,-40368747,-5608570214] 4 55440ex3 [0,0,0,161185173,-44830963046] 4 55440ex4 [0,0,0,-430666347,3427527178906] 2
55440ey (2 curves)	0	2- 3- 5- 7- 11-	2- 3- 5- 7- 11- -6 -2  0
Curve Equation t 55440ey1 [0,0,0,-192,3211] 2 55440ey2 [0,0,0,-4647,121714] 2

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations