Cremona's table of elliptic curves

30576 = 2⁴ · 3 · 7² · 13

Class	r	Atkin-Lehner	Eigenvalues
30576a (1 curve)	1	2+ 3+ 7+ 13+	2+ 3+  2 7+  3 13+ -3  1
Curve Equation t Generators 30576a1 [0,-1,0,-95272,11383072] 1 [-2:3402:1]
30576b (1 curve)	2	2+ 3+ 7- 13+	2+ 3+ -1 7- -5 13+ -3  1
Curve Equation t Generators 30576b1 [0,-1,0,-16,37024] 1 [-30:98:1]&[12:-196:1]
30576c (4 curves)	0	2+ 3+ 7- 13+	2+ 3+  2 7-  0 13+ -2  8
Curve Equation t 30576c1 [0,-1,0,-1927,33202] 2 30576c2 [0,-1,0,-2172,24480] 4 30576c3 [0,-1,0,6648,165600] 2 30576c4 [0,-1,0,-14912,-678768] 2
30576d (6 curves)	0	2+ 3+ 7- 13+	2+ 3+  2 7-  4 13+  6  4
Curve Equation t 30576d1 [0,-1,0,35313,-10408698] 2 30576d2 [0,-1,0,-552932,-146646240] 4 30576d3 [0,-1,0,-1849472,798272112] 2 30576d4 [0,-1,0,-8668312,-9820179200] 4 30576d5 [0,-1,0,-8489952,-10243819872] 2 30576d6 [0,-1,0,-138692752,-628632494048] 2
30576e (4 curves)	0	2+ 3+ 7- 13+	2+ 3+ -2 7-  0 13+  6 -4
Curve Equation t 30576e1 [0,-1,0,-359,-135162] 2 30576e2 [0,-1,0,-41764,-3232256] 4 30576e3 [0,-1,0,-79984,3647344] 2 30576e4 [0,-1,0,-666024,-208988352] 2
30576f (2 curves)	0	2+ 3+ 7- 13+	2+ 3+ -2 7-  4 13+ -2  4
Curve Equation t 30576f1 [0,-1,0,-3544,-52352] 2 30576f2 [0,-1,0,10176,-370656] 2
30576g (1 curve)	0	2+ 3+ 7- 13+	2+ 3+  3 7- -3 13+  7  1
Curve Equation t 30576g1 [0,-1,0,-1553904,-793408608] 1
30576h (2 curves)	1	2+ 3+ 7- 13-	2+ 3+  0 7-  2 13-  6 -4
Curve Equation t Generators 30576h1 [0,-1,0,-163,-314] 2 [-70:153:8] 30576h2 [0,-1,0,572,-2960] 2 [68:588:1]
30576i (2 curves)	1	2+ 3+ 7- 13-	2+ 3+  0 7- -2 13-  2  0
Curve Equation t Generators 30576i1 [0,-1,0,-9963,383454] 2 [-918:405:8] 30576i2 [0,-1,0,-3348,878256] 2 [68:980:1]
30576j (1 curve)	1	2+ 3+ 7- 13-	2+ 3+  2 7-  3 13-  3  7
Curve Equation t Generators 30576j1 [0,-1,0,-72,288] 1 [6:6:1]
30576k (4 curves)	1	2+ 3+ 7- 13-	2+ 3+ -2 7-  4 13- -2  4
Curve Equation t Generators 30576k1 [0,-1,0,-4524,118560] 2 [76:456:1] 30576k2 [0,-1,0,-5504,64464] 4 [-40:468:1] 30576k3 [0,-1,0,19976,472144] 2 [58:1350:1] 30576k4 [0,-1,0,-46664,-3821040] 2 [-128:196:1]
30576l (1 curve)	1	2+ 3+ 7- 13-	2+ 3+ -2 7- -5 13-  7 -5
Curve Equation t Generators 30576l1 [0,-1,0,-1200264,508379040] 1 [3198:171366:1]
30576m (1 curve)	1	2+ 3+ 7- 13-	2+ 3+  3 7-  2 13-  2 -7
Curve Equation t Generators 30576m1 [0,-1,0,-8689,319117] 1 [362:1029:8]
30576n (1 curve)	1	2+ 3+ 7- 13-	2+ 3+  3 7-  5 13- -3 -1
Curve Equation t Generators 30576n1 [0,-1,0,-505304,-138854064] 1 [985:17836:1]
30576o (1 curve)	1	2+ 3+ 7- 13-	2+ 3+  3 7- -5 13-  2  0
Curve Equation t Generators 30576o1 [0,-1,0,-1979224,-1073159408] 1 [642720:44134028:125]
30576p (1 curve)	1	2+ 3+ 7- 13-	2+ 3+  3 7- -6 13-  8 -1
Curve Equation t Generators 30576p1 [0,-1,0,-5433095369,154146231414981] 1 [1583892463609390226121580:452083768979522057845935489:13571724430993835231]
30576q (2 curves)	1	2+ 3+ 7- 13-	2+ 3+ -4 7-  2 13- -2  8
Curve Equation t Generators 30576q1 [0,-1,0,-31915,2072386] 2 [278:3822:1] 30576q2 [0,-1,0,27620,8859376] 2 [-72:2548:1]
30576r (2 curves)	1	2+ 3+ 7- 13-	2+ 3+ -4 7- -6 13- -6 -8
Curve Equation t Generators 30576r1 [0,-1,0,-10355,-402114] 2 [138:882:1] 30576r2 [0,-1,0,-9620,-462384] 2 [208:2548:1]
30576s (1 curve)	0	2+ 3- 7+ 13+	2+ 3-  2 7+ -5 13+ -7  5
Curve Equation t 30576s1 [0,1,0,-58812952,-174256384828] 1
30576t (1 curve)	0	2+ 3- 7+ 13+	2+ 3- -2 7+  3 13+ -3 -7
Curve Equation t 30576t1 [0,1,0,-3544,-91708] 1
30576u (1 curve)	2	2+ 3- 7+ 13+	2+ 3- -3 7+ -5 13+ -2  0
Curve Equation t Generators 30576u1 [0,1,0,-40392,3117204] 1 [324:4914:1]&[114:-84:1]
30576v (6 curves)	1	2+ 3- 7- 13+	2+ 3-  2 7-  4 13+ -2 -4
Curve Equation t Generators 30576v1 [0,1,0,-11727,465912] 2 [-36:918:1] 30576v2 [0,1,0,-31572,-1550340] 4 [-582:4845:8] 30576v3 [0,1,0,83088,-10126908] 2 [1150290:-40109817:1000] 30576v4 [0,1,0,-463752,-121696380] 4 [111213926:6673929360:29791] 30576v5 [0,1,0,-422592,-144136812] 2 [328558855324228755:-9437207836960823374:262205444800125] 30576v6 [0,1,0,-7419792,-7781687628] 2 [76935665141165:3442134944753358:18295397875]
30576w (4 curves)	1	2+ 3- 7- 13+	2+ 3- -2 7-  0 13+ -2 -4
Curve Equation t Generators 30576w1 [0,1,0,-359,1392] 2 [4:6:1] 30576w2 [0,1,0,-2564,-49764] 4 [2515:126126:1] 30576w3 [0,1,0,376,-154428] 2 [114:1176:1] 30576w4 [0,1,0,-40784,-3183804] 2 [-1245618:-9465:10648]
30576x (1 curve)	1	2+ 3- 7- 13+	2+ 3- -3 7-  2 13+ -2  7
Curve Equation t Generators 30576x1 [0,1,0,-177,-981] 1 [30:147:1]
30576y (2 curves)	0	2+ 3- 7- 13-	2+ 3-  0 7-  2 13-  2  0
Curve Equation t 30576y1 [0,1,0,25317,-1201068] 2 30576y2 [0,1,0,-130748,-10939524] 2
30576z (2 curves)	0	2+ 3- 7- 13-	2+ 3-  0 7-  2 13-  6 -8
Curve Equation t 30576z1 [0,1,0,-505843,141982616] 2 30576z2 [0,1,0,-8153028,8957657484] 2
30576ba (2 curves)	0	2+ 3- 7- 13-	2+ 3-  0 7- -6 13- -2  0
Curve Equation t 30576ba1 [0,1,0,-163,-1744] 2 30576ba2 [0,1,0,-3348,-75636] 2
30576bb (2 curves)	0	2+ 3- 7- 13-	2+ 3-  2 7-  4 13-  2 -4
Curve Equation t 30576bb1 [0,1,0,-72,132] 2 30576bb2 [0,1,0,208,1140] 2
30576bc (1 curve)	0	2+ 3- 7- 13-	2+ 3- -2 7-  3 13-  3 -1
Curve Equation t 30576bc1 [0,1,0,-4668344,-3895057020] 1
30576bd (4 curves)	0	2+ 3- 7- 13-	2+ 3- -2 7- -4 13- -6  4
Curve Equation t 30576bd1 [0,1,0,-1966484,-1062067140] 2 30576bd2 [0,1,0,-1967464,-1060956604] 4 30576bd3 [0,1,0,-1295184,-1796430924] 4 30576bd4 [0,1,0,-2655424,-254392300] 2
30576be (1 curve)	0	2+ 3- 7- 13-	2+ 3-  3 7-  2 13-  0  7
Curve Equation t 30576be1 [0,1,0,1111,18003] 1
30576bf (1 curve)	2	2+ 3- 7- 13-	2+ 3- -3 7- -3 13- -7 -1
Curve Equation t Generators 30576bf1 [0,1,0,-31712,2304084] 1 [100:-378:1]&[-194:1092:1]
30576bg (2 curves)	0	2+ 3- 7- 13-	2+ 3-  4 7-  2 13-  6  4
Curve Equation t 30576bg1 [0,1,0,229,4332] 2 30576bg2 [0,1,0,-2956,55292] 2
30576bh (1 curve)	0	2- 3+ 7+ 13+	2- 3+ -1 7+  1 13+ -6  4
Curve Equation t 30576bh1 [0,-1,0,-1109376,-6194423808] 1
30576bi (1 curve)	0	2- 3+ 7+ 13+	2- 3+ -2 7+ -3 13+  5 -1
Curve Equation t 30576bi1 [0,-1,0,-1595064,-887302800] 1
30576bj (1 curve)	0	2- 3+ 7+ 13+	2- 3+  4 7+  5 13+  3  5
Curve Equation t 30576bj1 [0,-1,0,15664,3020928] 1
30576bk (1 curve)	0	2- 3+ 7+ 13+	2- 3+ -4 7+  1 13+  3  1
Curve Equation t 30576bk1 [0,-1,0,-59600,-5719104] 1
30576bl (2 curves)	1	2- 3+ 7+ 13-	2- 3+  3 7+ -3 13-  6  4
Curve Equation t Generators 30576bl1 [0,-1,0,-17264,-1654848] 1 [184:1168:1] 30576bl2 [0,-1,0,147376,33248832] 1 [-176:1352:1]
30576bm (1 curve)	1	2- 3+ 7- 13+	2- 3+  1 7-  1 13+  1  7
Curve Equation t Generators 30576bm1 [0,-1,0,-85080,-9649296] 1 [356:2248:1]
30576bn (1 curve)	1	2- 3+ 7- 13+	2- 3+  1 7- -1 13+ -5 -1
Curve Equation t Generators 30576bn1 [0,-1,0,259880,-167672336] 1 [636:15952:1]
30576bo (1 curve)	1	2- 3+ 7- 13+	2- 3+  1 7-  2 13+ -2  5
Curve Equation t Generators 30576bo1 [0,-1,0,75,-5571] 1 [138:189:8]
30576bp (1 curve)	1	2- 3+ 7- 13+	2- 3+  1 7-  2 13+  4  3
Curve Equation t Generators 30576bp1 [0,-1,0,-20645,1313229] 1 [236:3087:1]
30576bq (1 curve)	1	2- 3+ 7- 13+	2- 3+  1 7- -2 13+  4  1
Curve Equation t Generators 30576bq1 [0,-1,0,-97085,29268513] 1 [-247:6174:1]
30576br (4 curves)	1	2- 3+ 7- 13+	2- 3+ -2 7-  4 13+ -2 -8
Curve Equation t Generators 30576br1 [0,-1,0,-15304,15219184] 2 [5661:425810:1] 30576br2 [0,-1,0,-1018824,392542704] 4 [-1036:18304:1] 30576br3 [0,-1,0,-1834184,-323669520] 2 [-1134:17226:1] 30576br4 [0,-1,0,-16259784,25241403888] 2 [22778:-3387098:1]
30576bs (4 curves)	1	2- 3+ 7- 13+	2- 3+ -2 7- -4 13+ -2  0
Curve Equation t Generators 30576bs1 [0,-1,0,376,-6096] 2 [28:160:1] 30576bs2 [0,-1,0,-3544,-68816] 4 [-36:104:1] 30576bs3 [0,-1,0,-15304,665008] 2 [138:1078:1] 30576bs4 [0,-1,0,-54504,-4879440] 2 [-134:6:1]
30576bt (2 curves)	1	2- 3+ 7- 13+	2- 3+ -2 7- -4 13+ -2 -4
Curve Equation t Generators 30576bt1 [0,-1,0,-29240864,60869902080] 2 [32790:4448710:27] 30576bt2 [0,-1,0,-29021344,61828589824] 2 [2336:82320:1]
30576bu (1 curve)	1	2- 3+ 7- 13+	2- 3+  3 7-  1 13+  3  1
Curve Equation t Generators 30576bu1 [0,-1,0,96,-384] 1 [5:14:1]
30576bv (1 curve)	1	2- 3+ 7- 13+	2- 3+ -3 7- -2 13+  6  7
Curve Equation t Generators 30576bv1 [0,-1,0,-1934837,1036711929] 1 [713:4374:1]
30576bw (2 curves)	1	2- 3+ 7- 13+	2- 3+  4 7-  4 13+ -2 -2
Curve Equation t Generators 30576bw1 [0,-1,0,-261,1548] 2 [-54:435:8] 30576bw2 [0,-1,0,-996,-10212] 2 [-14590:31639:1000]
30576bx (2 curves)	0	2- 3+ 7- 13-	2- 3+  0 7-  2 13- -4  4
Curve Equation t 30576bx1 [0,-1,0,-15353,1425684] 2 30576bx2 [0,-1,0,-305188,64957516] 2
30576by (1 curve)	0	2- 3+ 7- 13-	2- 3+  0 7-  5 13- -7  7
Curve Equation t 30576by1 [0,-1,0,-1248,-29952] 1
30576bz (1 curve)	2	2- 3+ 7- 13-	2- 3+ -1 7- -2 13- -6  1
Curve Equation t Generators 30576bz1 [0,-1,0,299,169] 1 [13:-78:1]&[5:42:1]
30576ca (1 curve)	0	2- 3+ 7- 13-	2- 3+ -1 7-  3 13-  2  0
Curve Equation t 30576ca1 [0,-1,0,8664,161904] 1
30576cb (1 curve)	2	2- 3+ 7- 13-	2- 3+ -1 7- -5 13-  3 -5
Curve Equation t Generators 30576cb1 [0,-1,0,-49576,4265584] 1 [-252:832:1]&[138:182:1]
30576cc (1 curve)	0	2- 3+ 7- 13-	2- 3+ -1 7-  6 13-  8  3
Curve Equation t 30576cc1 [0,-1,0,-17901,-938223] 1
30576cd (2 curves)	0	2- 3+ 7- 13-	2- 3+  2 7-  0 13- -4  0
Curve Equation t 30576cd1 [0,-1,0,-1437,23892] 2 30576cd2 [0,-1,0,-23732,1415100] 2
30576ce (1 curve)	0	2- 3+ 7- 13-	2- 3+  2 7- -3 13- -1 -3
Curve Equation t 30576ce1 [0,-1,0,18408,567792] 1
30576cf (2 curves)	0	2- 3+ 7- 13-	2- 3+  2 7-  4 13-  6  4
Curve Equation t 30576cf1 [0,-1,0,-46053352,-27595510928] 2 30576cf2 [0,-1,0,178735128,-217856480400] 2
30576cg (1 curve)	0	2- 3+ 7- 13-	2- 3+ -3 7- -1 13- -7  1
Curve Equation t 30576cg1 [0,-1,0,-78779472,-270646784064] 1
30576ch (1 curve)	0	2- 3+ 7- 13-	2- 3+ -3 7-  5 13-  3 -3
Curve Equation t 30576ch1 [0,-1,0,-3712,-167936] 1
30576ci (1 curve)	1	2- 3- 7+ 13+	2- 3-  0 7+  5 13+  7 -7
Curve Equation t Generators 30576ci1 [0,1,0,-61168,10395860] 1 [212:2646:1]
30576cj (1 curve)	1	2- 3- 7+ 13+	2- 3-  1 7+  3 13+ -2  0
Curve Equation t Generators 30576cj1 [0,1,0,424520,-56382124] 1 [149769266:4981830321:405224]
30576ck (1 curve)	1	2- 3- 7+ 13+	2- 3- -2 7+ -3 13+  1  3
Curve Equation t Generators 30576ck1 [0,1,0,376,-1548] 1 [4:6:1]
30576cl (4 curves)	0	2- 3- 7- 13+	2- 3-  0 7-  0 13+  6  2
Curve Equation t 30576cl1 [0,1,0,-653,-78] 2 30576cl2 [0,1,0,-7268,235416] 2 30576cl3 [0,1,0,-35933,-2633730] 2 30576cl4 [0,1,0,-36668,-2521128] 2
30576cm (1 curve)	0	2- 3- 7- 13+	2- 3-  1 7- -2 13+  6 -1
Curve Equation t 30576cm1 [0,1,0,14635,-87249] 1
30576cn (1 curve)	0	2- 3- 7- 13+	2- 3-  1 7- -5 13+ -3  5
Curve Equation t 30576cn1 [0,1,0,-2429240,-1458236844] 1
30576co (4 curves)	0	2- 3- 7- 13+	2- 3-  2 7-  4 13+  2 -4
Curve Equation t 30576co1 [0,1,0,-44312,-3506028] 2 30576co2 [0,1,0,-107032,8561300] 4 30576co3 [0,1,0,316328,59872532] 2 30576co4 [0,1,0,-1533912,730562580] 2
30576cp (2 curves)	0	2- 3- 7- 13+	2- 3- -2 7-  4 13+ -6 -4
Curve Equation t 30576cp1 [0,1,0,-939864,80184852] 2 30576cp2 [0,1,0,3647656,636192276] 2
30576cq (1 curve)	0	2- 3- 7- 13+	2- 3-  3 7-  5 13+ -3  3
Curve Equation t 30576cq1 [0,1,0,-181904,57965844] 1
30576cr (3 curves)	2	2- 3- 7- 13+	2- 3- -3 7- -3 13+  3 -7
Curve Equation t Generators 30576cr1 [0,1,0,10568,3979604] 1 [86:-2352:1]&[-106:1296:1] 30576cr2 [0,1,0,-95272,-108422476] 1 [548:2058:1]&[2606:131712:1] 30576cr3 [0,1,0,-20428312,-35545700716] 1 [5644:170226:1]&[1942390:2707095552:1]
30576cs (2 curves)	2	2- 3- 7- 13+	2- 3- -3 7- -3 13+ -6 -4
Curve Equation t Generators 30576cs1 [0,1,0,-352,4724] 1 [-22:48:1]&[-17:78:1] 30576cs2 [0,1,0,3008,-96076] 1 [1830:17576:27]&[178:2472:1]
30576ct (1 curve)	1	2- 3- 7- 13-	2- 3-  1 7-  1 13-  6 -4
Curve Equation t Generators 30576ct1 [0,1,0,-22640,18053076] 1 [370:-7776:1]
30576cu (2 curves)	1	2- 3- 7- 13-	2- 3-  1 7- -5 13-  3 -1
Curve Equation t Generators 30576cu1 [0,1,0,559760,-1821115948] 1 [2207:100842:1] 30576cu2 [0,1,0,-2880804880,-59514924513388] 1 [2092351:3025572522:1]
30576cv (1 curve)	1	2- 3- 7- 13-	2- 3- -1 7- -1 13-  5  1
Curve Equation t Generators 30576cv1 [0,1,0,5304,490356] 1 [-18:624:1]
30576cw (1 curve)	1	2- 3- 7- 13-	2- 3- -1 7-  2 13-  0  1
Curve Equation t Generators 30576cw1 [0,1,0,1991099,-3473884429] 1 [7478:655473:1]
30576cx (1 curve)	1	2- 3- 7- 13-	2- 3- -1 7-  2 13-  2 -5
Curve Equation t Generators 30576cx1 [0,1,0,3659,1903523] 1 [-82:1029:1]
30576cy (1 curve)	1	2- 3- 7- 13-	2- 3- -1 7- -3 13- -5  1
Curve Equation t Generators 30576cy1 [0,1,0,-5896,-202252] 1 [94:288:1]
30576cz (2 curves)	1	2- 3- 7- 13-	2- 3-  2 7-  0 13-  4 -8
Curve Equation t Generators 30576cz1 [0,1,0,2483,81458] 2 [2:294:1] 30576cz2 [0,1,0,-19812,875160] 2 [-57:1350:1]
30576da (1 curve)	1	2- 3- 7- 13-	2- 3-  2 7- -3 13- -5  1
Curve Equation t Generators 30576da1 [0,1,0,-32552,2577588] 1 [52:-1014:1]
30576db (2 curves)	1	2- 3- 7- 13-	2- 3-  2 7- -4 13-  2  4
Curve Equation t Generators 30576db1 [0,1,0,-596752,-177633772] 2 [1154:25920:1] 30576db2 [0,1,0,-592272,-180427500] 2 [1458:45360:1]
30576dc (4 curves)	1	2- 3- 7- 13-	2- 3- -2 7-  4 13- -6 -4
Curve Equation t Generators 30576dc1 [0,1,0,-5504,-142668] 2 [3342:28160:27] 30576dc2 [0,1,0,-21184,1030196] 4 [-68:1470:1] 30576dc3 [0,1,0,33696,5530356] 4 [-78:1560:1] 30576dc4 [0,1,0,-326944,71844212] 2 [556:7890:1]
30576dd (1 curve)	1	2- 3- 7- 13-	2- 3-  3 7- -2 13- -6 -7
Curve Equation t Generators 30576dd1 [0,1,0,-94807029,-355402577601] 1 [35835:6501222:1]
30576de (1 curve)	1	2- 3- 7- 13-	2- 3- -3 7-  1 13- -3 -1
Curve Equation t Generators 30576de1 [0,1,0,4688,122324] 1 [-166:1029:8]
30576df (1 curve)	1	2- 3- 7- 13-	2- 3-  4 7-  1 13- -3 -1
Curve Equation t Generators 30576df1 [0,1,0,-2920416,1967493492] 1 [1788:49650:1]
30576dg (1 curve)	1	2- 3- 7- 13-	2- 3- -4 7-  5 13- -3 -5
Curve Equation t Generators 30576dg1 [0,1,0,320,-8716] 1 [20:78:1]

Data from Elliptic Curve Data by J. E. Cremona.
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