Cremona's table of elliptic curves

27720 = 2³ · 3² · 5 · 7 · 11

Class	r	Atkin-Lehner	Eigenvalues
27720a (2 curves)	1	2+ 3+ 5+ 7+ 11+	2+ 3+ 5+ 7+ 11+ -2 -2  8
Curve Equation t Generators 27720a1 [0,0,0,57,58] 2 [3:16:1] 27720a2 [0,0,0,-243,478] 2 [-9:44:1]
27720b (2 curves)	1	2+ 3+ 5+ 7- 11-	2+ 3+ 5+ 7- 11- -2 -2  0
Curve Equation t Generators 27720b1 [0,0,0,-12423,544122] 2 [67:112:1] 27720b2 [0,0,0,-199923,34406622] 2 [247:308:1]
27720c (6 curves)	0	2+ 3- 5+ 7+ 11+	2+ 3- 5+ 7+ 11+ -2 -2 -4
Curve Equation t 27720c1 [0,0,0,-579738,-166831103] 2 27720c2 [0,0,0,-1238583,282369418] 4 27720c3 [0,0,0,4097517,2067828478] 2 27720c4 [0,0,0,-17116203,27245743702] 4 27720c5 [0,0,0,-14443203,36043655902] 2 27720c6 [0,0,0,-273831123,1744103785678] 2
27720d (1 curve)	0	2+ 3- 5+ 7+ 11+	2+ 3- 5+ 7+ 11+  4  7 -1
Curve Equation t 27720d1 [0,0,0,-8508,-306668] 1
27720e (2 curves)	0	2+ 3- 5+ 7+ 11+	2+ 3- 5+ 7+ 11+ -4 -4  4
Curve Equation t 27720e1 [0,0,0,-56523,-5172298] 2 27720e2 [0,0,0,-55443,-5379442] 2
27720f (6 curves)	0	2+ 3- 5+ 7+ 11+	2+ 3- 5+ 7+ 11+  6 -2  4
Curve Equation t 27720f1 [0,0,0,-9498,-316447] 2 27720f2 [0,0,0,-37623,2479178] 4 27720f3 [0,0,0,56877,12930878] 2 27720f4 [0,0,0,-582123,170947478] 4 27720f5 [0,0,0,-562323,183116558] 2 27720f6 [0,0,0,-9313923,10940749598] 2
27720g (1 curve)	1	2+ 3- 5+ 7- 11+	2+ 3- 5+ 7- 11+ -2  1 -5
Curve Equation t Generators 27720g1 [0,0,0,492,4772] 1 [22:162:1]
27720h (6 curves)	1	2+ 3- 5+ 7- 11+	2+ 3- 5+ 7- 11+ -2 -2  4
Curve Equation t Generators 27720h1 [0,0,0,20022,472673] 4 [-16:385:1] 27720h2 [0,0,0,-88023,3951722] 4 [-254:3150:1] 27720h3 [0,0,0,-749523,-247021378] 2 [-506:1638:1] 27720h4 [0,0,0,-1155243,477583958] 4 [-449:30096:1] 27720h5 [0,0,0,-905763,689592062] 2 [-3214:251541:8] 27720h6 [0,0,0,-18480243,30578038958] 2 [3926:136154:1]
27720i (2 curves)	0	2+ 3- 5+ 7- 11-	2+ 3- 5+ 7- 11-  0 -8  8
Curve Equation t 27720i1 [0,0,0,-1083,-13498] 2 27720i2 [0,0,0,-3,-39202] 2
27720j (4 curves)	0	2+ 3- 5+ 7- 11-	2+ 3- 5+ 7- 11- -2 -2  0
Curve Equation t 27720j1 [0,0,0,-423,-8262] 2 27720j2 [0,0,0,-9243,-341658] 4 27720j3 [0,0,0,-11763,-140562] 2 27720j4 [0,0,0,-147843,-21880098] 2
27720k (6 curves)	0	2+ 3- 5+ 7- 11-	2+ 3- 5+ 7- 11- -2  6 -4
Curve Equation t 27720k1 [0,0,0,20742,-3786743] 2 27720k2 [0,0,0,-274503,-50494502] 4 27720k3 [0,0,0,-988923,322575622] 4 27720k4 [0,0,0,-4284003,-3412861202] 2 27720k5 [0,0,0,1755357,1794058558] 2 27720k6 [0,0,0,-15163923,22727580622] 2
27720l (6 curves)	0	2+ 3- 5+ 7- 11-	2+ 3- 5+ 7- 11-  6 -2 -4
Curve Equation t 27720l1 [0,0,0,-458778,996792473] 2 27720l2 [0,0,0,-18036903,29322183098] 4 27720l3 [0,0,0,-29174403,-11202724402] 2 27720l4 [0,0,0,-288149403,1882672090598] 4 27720l5 [0,0,0,-287708403,1888721993198] 2 27720l6 [0,0,0,-4610390403,120491016267998] 2
27720m (2 curves)	1	2+ 3- 5- 7+ 11+	2+ 3- 5- 7+ 11+  0 -4 -4
Curve Equation t Generators 27720m1 [0,0,0,393,394] 2 [3:40:1] 27720m2 [0,0,0,-1587,3166] 2 [-33:140:1]
27720n (2 curves)	1	2+ 3- 5- 7+ 11+	2+ 3- 5- 7+ 11+  0 -4 -4
Curve Equation t Generators 27720n1 [0,0,0,-2772507,-1776875546] 2 [755685126953120:-16024306158106011:353693237248] 27720n2 [0,0,0,-2762787,-1789952834] 2 [32450444624:1686872118645:8998912]
27720o (4 curves)	1	2+ 3- 5- 7+ 11+	2+ 3- 5- 7+ 11+  2 -2  0
Curve Equation t Generators 27720o1 [0,0,0,467433,68711274] 2 [-77:5680:1] 27720o2 [0,0,0,-2167947,588935286] 4 [-1433:27440:1] 27720o3 [0,0,0,-17109027,-26833922946] 2 [-2522:16550:1] 27720o4 [0,0,0,-29392947,61306130286] 2 [3222:7110:1]
27720p (4 curves)	1	2+ 3- 5- 7+ 11+	2+ 3- 5- 7+ 11+ -2  2  0
Curve Equation t Generators 27720p1 [0,0,0,3273,-69046] 2 [83:880:1] 27720p2 [0,0,0,-18507,-648394] 4 [-73:560:1] 27720p3 [0,0,0,-117507,15013406] 2 [422:6370:1] 27720p4 [0,0,0,-267987,-53388466] 2 [598:450:1]
27720q (4 curves)	0	2+ 3- 5- 7+ 11-	2+ 3- 5- 7+ 11-  2  2  0
Curve Equation t 27720q1 [0,0,0,-373602,87894529] 4 27720q2 [0,0,0,-374727,87338554] 4 27720q3 [0,0,0,-66027,226932694] 2 27720q4 [0,0,0,-701427,-87837986] 2
27720r (1 curve)	0	2+ 3- 5- 7+ 11-	2+ 3- 5- 7+ 11-  2 -3 -5
Curve Equation t 27720r1 [0,0,0,-15859812,-28907757884] 1
27720s (4 curves)	0	2+ 3- 5- 7+ 11-	2+ 3- 5- 7+ 11-  2  6  4
Curve Equation t 27720s1 [0,0,0,-10407,408634] 2 27720s2 [0,0,0,-10587,393766] 4 27720s3 [0,0,0,9213,1696606] 2 27720s4 [0,0,0,-33267,-1860626] 2
27720t (4 curves)	0	2+ 3- 5- 7- 11+	2+ 3- 5- 7- 11+ -2  2  4
Curve Equation t 27720t1 [0,0,0,-4602,119761] 4 27720t2 [0,0,0,-6807,-6806] 4 27720t3 [0,0,0,27213,-54434] 2 27720t4 [0,0,0,-76107,-8059466] 2
27720u (1 curve)	0	2+ 3- 5- 7- 11+	2+ 3- 5- 7- 11+ -4  7  1
Curve Equation t 27720u1 [0,0,0,-55452,7572724] 1
27720v (4 curves)	0	2+ 3- 5- 7- 11+	2+ 3- 5- 7- 11+  6  2 -4
Curve Equation t 27720v1 [0,0,0,-365322,-75375911] 4 27720v2 [0,0,0,-5659527,-5182166054] 4 27720v3 [0,0,0,-5474307,-5537158706] 2 27720v4 [0,0,0,-90552027,-331661742554] 2
27720w (4 curves)	1	2+ 3- 5- 7- 11-	2+ 3- 5- 7- 11-  2  2  0
Curve Equation t Generators 27720w1 [0,0,0,140478,-97758439] 2 [617:14960:1] 27720w2 [0,0,0,-2516727,-1440709846] 4 [-997:8800:1] 27720w3 [0,0,0,-7984227,6956276654] 4 [-2657:97020:1] 27720w4 [0,0,0,-39564507,-95786586394] 2 [10762:851400:1]
27720x (1 curve)	1	2+ 3- 5- 7- 11-	2+ 3- 5- 7- 11- -4 -1  3
Curve Equation t Generators 27720x1 [0,0,0,5748,-42604] 1 [262:4410:1]
27720y (4 curves)	1	2+ 3- 5- 7- 11-	2+ 3- 5- 7- 11- -6  2  4
Curve Equation t Generators 27720y1 [0,0,0,393,7306] 2 [2:90:1] 27720y2 [0,0,0,-4107,89206] 4 [15:176:1] 27720y3 [0,0,0,-16707,-739874] 2 [230:2754:1] 27720y4 [0,0,0,-63507,6159886] 2 [150:94:1]
27720z (2 curves)	0	2- 3+ 5- 7+ 11-	2- 3+ 5- 7+ 11- -2  2  8
Curve Equation t 27720z1 [0,0,0,513,-1566] 2 27720z2 [0,0,0,-2187,-12906] 2
27720ba (2 curves)	0	2- 3+ 5- 7- 11+	2- 3+ 5- 7- 11+ -2  2  0
Curve Equation t 27720ba1 [0,0,0,-111807,-14691294] 2 27720ba2 [0,0,0,-1799307,-928978794] 2
27720bb (4 curves)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+  2 -2  0
Curve Equation t Generators 27720bb1 [0,0,0,-60957858,143169788477] 2 [78284400509478673246:-14099241363246729713151:2295632151472213] 27720bb2 [0,0,0,-320373903,-2084228257102] 4 [-707870308928903:-21458288736503262:78018694417] 27720bb3 [0,0,0,254857677,-8746675462978] 2 [293960757474780932921:-43893781945683204905800:11459258012408851] 27720bb4 [0,0,0,-5046262203,-137975255968282] 2 [-7189667787271171564663:3757548645185187444588:175393124750607947]
27720bc (4 curves)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+  6  6 -4
Curve Equation t Generators 27720bc1 [0,0,0,582,-9763] 2 [22:117:1] 27720bc2 [0,0,0,-4863,-108862] 4 [-47:126:1] 27720bc3 [0,0,0,-22683,1213382] 2 [131:700:1] 27720bc4 [0,0,0,-74163,-7773442] 2 [-157:16:1]
27720bd (4 curves)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11-  2  2  8
Curve Equation t 27720bd1 [0,0,0,897,20162] 2 27720bd2 [0,0,0,-7923,230078] 4 27720bd3 [0,0,0,-35643,-2370058] 2 27720bd4 [0,0,0,-121323,16264838] 2
27720be (1 curve)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11- -4 -1  5
Curve Equation t 27720be1 [0,0,0,-331406508,2322396693668] 1
27720bf (2 curves)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11- -4  4  0
Curve Equation t 27720bf1 [0,0,0,-133923,-18737458] 2 27720bf2 [0,0,0,-46443,-42864442] 2
27720bg (2 curves)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11-  6 -2  2
Curve Equation t 27720bg1 [0,0,0,-3,2158] 2 27720bg2 [0,0,0,-2523,48022] 2
27720bh (4 curves)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11- -6 -2  8
Curve Equation t 27720bh1 [0,0,0,-53058,-5192507] 2 27720bh2 [0,0,0,-873183,-314051582] 4 27720bh3 [0,0,0,-897483,-295646762] 2 27720bh4 [0,0,0,-13970883,-20099437202] 2
27720bi (4 curves)	0	2- 3- 5+ 7- 11+	2- 3- 5+ 7- 11+  2  6 -4
Curve Equation t 27720bi1 [0,0,0,-1263,592562] 2 27720bi2 [0,0,0,-113763,14610062] 4 27720bi3 [0,0,0,-212763,-14634538] 2 27720bi4 [0,0,0,-1814763,940974662] 2
27720bj (2 curves)	0	2- 3- 5+ 7- 11+	2- 3- 5+ 7- 11+ -4 -4  4
Curve Equation t 27720bj1 [0,0,0,-23043,911342] 2 27720bj2 [0,0,0,64437,6177638] 2
27720bk (4 curves)	2	2- 3- 5+ 7- 11+	2- 3- 5+ 7- 11+ -6 -6 -4
Curve Equation t Generators 27720bk1 [0,0,0,-1098,-9963] 2 [-18:63:1]&[-11:28:1] 27720bk2 [0,0,0,-6543,195858] 4 [61:-154:1]&[-71:550:1] 27720bk3 [0,0,0,3357,736398] 2 [-53:640:1]&[-29:784:1] 27720bk4 [0,0,0,-103563,12827862] 2 [187:28:1]&[222:882:1]
27720bl (4 curves)	1	2- 3- 5+ 7- 11-	2- 3- 5+ 7- 11-  2 -2  0
Curve Equation t Generators 27720bl1 [0,0,0,942,24757] 2 [6:-175:1] 27720bl2 [0,0,0,-9183,294082] 4 [101:-630:1] 27720bl3 [0,0,0,-38883,-2658098] 2 [299:3528:1] 27720bl4 [0,0,0,-141483,20483062] 2 [227:-252:1]
27720bm (4 curves)	1	2- 3- 5+ 7- 11-	2- 3- 5+ 7- 11- -6  2  4
Curve Equation t Generators 27720bm1 [0,0,0,-1263,16882] 2 [-31:162:1] 27720bm2 [0,0,0,-2883,-35282] 4 [-37:144:1] 27720bm3 [0,0,0,8997,-251498] 2 [62:738:1] 27720bm4 [0,0,0,-40683,-3157562] 2 [366:5566:1]
27720bn (4 curves)	1	2- 3- 5- 7+ 11-	2- 3- 5- 7+ 11-  2 -6  0
Curve Equation t Generators 27720bn1 [0,0,0,-642,-5339] 2 [-10:9:1] 27720bn2 [0,0,0,-2847,53314] 4 [-7:270:1] 27720bn3 [0,0,0,3453,256174] 2 [35:648:1] 27720bn4 [0,0,0,-44427,3604246] 2 [131:180:1]
27720bo (2 curves)	1	2- 3- 5- 7+ 11-	2- 3- 5- 7+ 11- -4  0  0
Curve Equation t Generators 27720bo1 [0,0,0,-13795347,-7921122914] 2 [-973:67680:1] 27720bo2 [0,0,0,49977573,-60508272746] 2 [1598:153090:1]
27720bp (1 curve)	1	2- 3- 5- 7+ 11-	2- 3- 5- 7+ 11-  6  5 -5
Curve Equation t Generators 27720bp1 [0,0,0,-3972,110644] 1 [20:-198:1]
27720bq (4 curves)	1	2- 3- 5- 7- 11+	2- 3- 5- 7- 11+  2  2 -8
Curve Equation t Generators 27720bq1 [0,0,0,-642,167501] 2 [22:-405:1] 27720bq2 [0,0,0,-49647,4215314] 4 [193:-1350:1] 27720bq3 [0,0,0,-91227,-3876154] 2 [-53:900:1] 27720bq4 [0,0,0,-792147,271366814] 2 [523:360:1]
27720br (4 curves)	0	2- 3- 5- 7- 11-	2- 3- 5- 7- 11-  2  6  4
Curve Equation t 27720br1 [0,0,0,-2127,-18286] 2 27720br2 [0,0,0,-16707,818606] 4 27720br3 [0,0,0,-507,2338166] 2 27720br4 [0,0,0,-266187,52860134] 2
27720bs (4 curves)	0	2- 3- 5- 7- 11-	2- 3- 5- 7- 11-  2  6 -4
Curve Equation t 27720bs1 [0,0,0,-35450607,-81241215694] 2 27720bs2 [0,0,0,-36631587,-75538735666] 4 27720bs3 [0,0,0,54493413,-391542010666] 2 27720bs4 [0,0,0,-146652267,605423261126] 2

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