Cremona's table of elliptic curves

97680 = 2⁴ · 3 · 5 · 11 · 37

Class	r	Atkin-Lehner	Eigenvalues
97680a (2 curves)	0	2+ 3+ 5+ 11+ 37-	2+ 3+ 5+  0 11+  4 -4 -2
Curve Equation t 97680a1 [0,-1,0,-2771,-55230] 2 97680a2 [0,-1,0,-2716,-57584] 2
97680b (1 curve)	0	2+ 3+ 5+ 11+ 37-	2+ 3+ 5+  3 11+ -5 -1  4
Curve Equation t 97680b1 [0,-1,0,-23682418816,-169337021717984] 1
97680c (1 curve)	1	2+ 3+ 5+ 11- 37-	2+ 3+ 5+  2 11- -1  2  6
Curve Equation t Generators 97680c1 [0,-1,0,479,10045] 1 [20:165:1]
97680d (2 curves)	1	2+ 3+ 5+ 11- 37-	2+ 3+ 5+  2 11- -4  8  0
Curve Equation t Generators 97680d1 [0,-1,0,-513371,141749046] 2 [26596:3515:64] 97680d2 [0,-1,0,-513316,141780880] 2 [505:3330:1]
97680e (2 curves)	1	2+ 3+ 5+ 11- 37-	2+ 3+ 5+  4 11- -4  0  6
Curve Equation t Generators 97680e1 [0,-1,0,-11,-5310] 2 [214:3122:1] 97680e2 [0,-1,0,-4636,-118160] 2 [-36:28:1]
97680f (1 curve)	0	2+ 3+ 5- 11+ 37+	2+ 3+ 5-  1 11+  6 -8  4
Curve Equation t 97680f1 [0,-1,0,-8865,2357037] 1
97680g (2 curves)	1	2+ 3+ 5- 11- 37+	2+ 3+ 5-  2 11-  6  2 -2
Curve Equation t Generators 97680g1 [0,-1,0,-43180,-3418688] 2 [977:29766:1] 97680g2 [0,-1,0,-16560,-7614000] 2 [262:2442:1]
97680h (1 curve)	2	2+ 3+ 5- 11- 37-	2+ 3+ 5- -1 11- -1 -7  0
Curve Equation t Generators 97680h1 [0,-1,0,-440,3600] 1 [-23:32:1]&[0:60:1]
97680i (4 curves)	0	2+ 3+ 5- 11- 37-	2+ 3+ 5-  4 11-  6 -2  0
Curve Equation t 97680i1 [0,-1,0,455505,2733282] 2 97680i2 [0,-1,0,-1822620,23692032] 4 97680i3 [0,-1,0,-19791120,-33771462768] 2 97680i4 [0,-1,0,-20304120,35123756832] 4
97680j (2 curves)	2	2+ 3+ 5- 11- 37-	2+ 3+ 5- -4 11- -4 -4 -6
Curve Equation t Generators 97680j1 [0,-1,0,290445,-119732850] 2 [390:7260:1]&[1050:36630:1] 97680j2 [0,-1,0,-2600180,-1371951600] 2 [-1060:13860:1]&[-740:12100:1]
97680k (2 curves)	2	2+ 3- 5+ 11+ 37+	2+ 3- 5+ -2 11+ -2 -6  6
Curve Equation t Generators 97680k1 [0,1,0,-2376,43524] 2 [-48:222:1]&[-46:240:1] 97680k2 [0,1,0,-896,98580] 2 [22:-300:1]&[-26:324:1]
97680l (2 curves)	1	2+ 3- 5+ 11+ 37-	2+ 3- 5+  2 11+ -2  2 -2
Curve Equation t Generators 97680l1 [0,1,0,-111,-11736] 2 [1356:49950:1] 97680l2 [0,1,0,-8436,-298116] 2 [10858:399225:8]
97680m (2 curves)	1	2+ 3- 5+ 11+ 37-	2+ 3- 5+  2 11+ -2 -2 -6
Curve Equation t Generators 97680m1 [0,1,0,-38671776,92550508740] 2 [29386:69375:8] 97680m2 [0,1,0,-38670296,92557948404] 2 [3511:8910:1]
97680n (1 curve)	1	2+ 3- 5+ 11+ 37-	2+ 3- 5+  3 11+  6 -4 -4
Curve Equation t Generators 97680n1 [0,1,0,65599,37055115] 1 [-194:4131:1]
97680o (1 curve)	1	2+ 3- 5+ 11+ 37-	2+ 3- 5+ -3 11+ -2 -2  4
Curve Equation t Generators 97680o1 [0,1,0,-1001,-13005] 1 [46:201:1]
97680p (2 curves)	0	2+ 3- 5+ 11- 37-	2+ 3- 5+  0 11-  4 -8 -2
Curve Equation t 97680p1 [0,1,0,-623931,-190357200] 2 97680p2 [0,1,0,-9989556,-12155879700] 2
97680q (2 curves)	0	2+ 3- 5- 11+ 37-	2+ 3- 5-  4 11+ -4 -4  2
Curve Equation t 97680q1 [0,1,0,-275,-1752] 2 97680q2 [0,1,0,220,-6900] 2
97680r (4 curves)	0	2+ 3- 5- 11+ 37-	2+ 3- 5- -4 11+  2  2 -4
Curve Equation t 97680r1 [0,1,0,-615,3900] 2 97680r2 [0,1,0,-3740,-86100] 4 97680r3 [0,1,0,1760,-312700] 4 97680r4 [0,1,0,-59240,-5569500] 2
97680s (2 curves)	2	2+ 3- 5- 11- 37+	2+ 3- 5- -2 11- -2 -6 -6
Curve Equation t Generators 97680s1 [0,1,0,-44940,3651948] 2 [-153:2640:1]&[78:792:1] 97680s2 [0,1,0,-44720,3689700] 2 [160:-810:1]&[-110:2700:1]
97680t (1 curve)	2	2+ 3- 5- 11- 37+	2+ 3- 5- -5 11- -5  3  0
Curve Equation t Generators 97680t1 [0,1,0,-97960,-8958892] 1 [386:-3300:1]&[-214:1500:1]
97680u (2 curves)	1	2+ 3- 5- 11- 37-	2+ 3- 5- -2 11-  2 -6  2
Curve Equation t Generators 97680u1 [0,1,0,-421800,30802500] 2 [0:5550:1] 97680u2 [0,1,0,1604320,242329428] 2 [-74:11100:1]
97680v (4 curves)	1	2+ 3- 5- 11- 37-	2+ 3- 5- -4 11-  6  2 -8
Curve Equation t Generators 97680v1 [0,1,0,-8735,665400] 2 [28:666:1] 97680v2 [0,1,0,-179860,29277500] 4 [-157:7326:1] 97680v3 [0,1,0,-220560,14999940] 2 [-177:6966:1] 97680v4 [0,1,0,-2877160,1877467460] 4 [704:14190:1]
97680w (1 curve)	1	2+ 3- 5- 11- 37-	2+ 3- 5- -4 11-  7  2  0
Curve Equation t Generators 97680w1 [0,1,0,-745,-18205] 1 [38:99:1]
97680x (1 curve)	0	2- 3+ 5+ 11+ 37+	2- 3+ 5+  2 11+ -2  5 -2
Curve Equation t 97680x1 [0,-1,0,-616,-9680] 1
97680y (2 curves)	1	2- 3+ 5+ 11- 37+	2- 3+ 5+ -2 11-  4  2  0
Curve Equation t Generators 97680y1 [0,-1,0,-241,3580] 2 [88:810:1] 97680y2 [0,-1,0,-5236,147436] 2 [778:5925:8]
97680z (1 curve)	1	2- 3+ 5+ 11- 37+	2- 3+ 5+  4 11- -3  6  0
Curve Equation t Generators 97680z1 [0,-1,0,-3301,75085] 1 [-4:297:1]
97680ba (1 curve)	0	2- 3+ 5+ 11- 37-	2- 3+ 5+  1 11- -2  2 -4
Curve Equation t 97680ba1 [0,-1,0,189179,-89143379] 1
97680bb (1 curve)	0	2- 3+ 5+ 11- 37-	2- 3+ 5+  1 11-  3 -3 -4
Curve Equation t 97680bb1 [0,-1,0,-1215113416,16303622784496] 1
97680bc (2 curves)	2	2- 3+ 5+ 11- 37-	2- 3+ 5+  1 11- -7 -3  4
Curve Equation t Generators 97680bc1 [0,-1,0,-8896,-320000] 1 [-54:2:1]&[144:1168:1] 97680bc2 [0,-1,0,-15136,190336] 1 [-102:814:1]&[8:264:1]
97680bd (1 curve)	0	2- 3+ 5+ 11- 37-	2- 3+ 5+ -1 11- -2 -4 -4
Curve Equation t 97680bd1 [0,-1,0,-1781,-28419] 1
97680be (2 curves)	0	2- 3+ 5+ 11- 37-	2- 3+ 5+ -2 11-  2 -3 -2
Curve Equation t 97680be1 [0,-1,0,-1483256,-695529360] 1 97680be2 [0,-1,0,1953304,-3214863504] 1
97680bf (2 curves)	0	2- 3+ 5+ 11- 37-	2- 3+ 5+ -2 11-  6  6  2
Curve Equation t 97680bf1 [0,-1,0,-4056,-72720] 2 97680bf2 [0,-1,0,10024,-478224] 2
97680bg (4 curves)	0	2- 3+ 5+ 11- 37-	2- 3+ 5+  4 11- -2 -6 -4
Curve Equation t 97680bg1 [0,-1,0,-496,-226304] 2 97680bg2 [0,-1,0,-58816,-5405120] 4 97680bg3 [0,-1,0,-112816,6129280] 4 97680bg4 [0,-1,0,-937936,-349316864] 2
97680bh (2 curves)	0	2- 3+ 5+ 11- 37-	2- 3+ 5+ -4 11-  6  0  4
Curve Equation t 97680bh1 [0,-1,0,-181,-944] 2 97680bh2 [0,-1,0,-2956,-60884] 2
97680bi (4 curves)	0	2- 3+ 5+ 11- 37-	2- 3+ 5+ -4 11- -6 -2 -4
Curve Equation t 97680bi1 [0,-1,0,-910536,-442233360] 2 97680bi2 [0,-1,0,-15840456,-24258441744] 4 97680bi3 [0,-1,0,-17119176,-20111297040] 2 97680bi4 [0,-1,0,-253440456,-1552881801744] 2
97680bj (1 curve)	0	2- 3+ 5+ 11- 37-	2- 3+ 5+  5 11-  3  1 -4
Curve Equation t 97680bj1 [0,-1,0,-296,1776] 1
97680bk (1 curve)	1	2- 3+ 5- 11+ 37+	2- 3+ 5-  0 11+  1 -2 -4
Curve Equation t Generators 97680bk1 [0,-1,0,5875,140625] 1 [25:-550:1]
97680bl (1 curve)	1	2- 3+ 5- 11+ 37+	2- 3+ 5- -1 11+ -2  0  4
Curve Equation t Generators 97680bl1 [0,-1,0,-725,-24375] 1 [125:1350:1]
97680bm (2 curves)	1	2- 3+ 5- 11+ 37+	2- 3+ 5- -2 11+ -2  4  6
Curve Equation t Generators 97680bm1 [0,-1,0,-605,398772] 2 [464:9990:1] 97680bm2 [0,-1,0,-84980,9443772] 2 [109:1210:1]
97680bn (1 curve)	1	2- 3+ 5- 11+ 37+	2- 3+ 5-  3 11+ -2  4 -4
Curve Equation t Generators 97680bn1 [0,-1,0,9959355,-18774540135] 1 [91493422830394105701:383894914182490360266:59802617462262193]
97680bo (1 curve)	1	2- 3+ 5- 11+ 37+	2- 3+ 5-  4 11+  4 -5  0
Curve Equation t Generators 97680bo1 [0,-1,0,-230460,-45384228] 1 [5042335356547085013542868037060196989277504467:96157217938696975197450129852890503543412204306:6708637681789951876107672308090166160811111]
97680bp (6 curves)	0	2- 3+ 5- 11+ 37-	2- 3+ 5-  0 11+ -2  2 -4
Curve Equation t 97680bp1 [0,-1,0,-10192960,-12519742400] 2 97680bp2 [0,-1,0,-11364240,-9462233088] 4 97680bp3 [0,-1,0,33405760,-65657537088] 2 97680bp4 [0,-1,0,-74874720,242394926400] 8 97680bp5 [0,-1,0,22707600,829215965952] 4 97680bp6 [0,-1,0,-1188624720,15773415926400] 4
97680bq (1 curve)	0	2- 3+ 5- 11+ 37-	2- 3+ 5- -2 11+ -2 -1  6
Curve Equation t 97680bq1 [0,-1,0,-390720,-218433600] 1
97680br (2 curves)	2	2- 3+ 5- 11+ 37-	2- 3+ 5- -3 11+ -1  3  0
Curve Equation t Generators 97680br1 [0,-1,0,-2094240,1089273600] 1 [1040:-5920:1]&[-70:35150:1] 97680br2 [0,-1,0,-1284455040,17718908634240] 1 [558264:105704:27]&[2586520:8:125]
97680bs (4 curves)	0	2- 3+ 5- 11+ 37-	2- 3+ 5-  4 11+ -2  2  0
Curve Equation t 97680bs1 [0,-1,0,-1200,-4608] 2 97680bs2 [0,-1,0,-10880,436800] 4 97680bs3 [0,-1,0,-2960,1051392] 4 97680bs4 [0,-1,0,-173680,27917440] 2
97680bt (2 curves)	0	2- 3+ 5- 11- 37+	2- 3+ 5-  0 11-  4 -4  4
Curve Equation t 97680bt1 [0,-1,0,-446165,113786400] 2 97680bt2 [0,-1,0,-807020,-96086868] 2
97680bu (2 curves)	0	2- 3+ 5- 11- 37+	2- 3+ 5-  2 11- -4  6  8
Curve Equation t 97680bu1 [0,-1,0,55,300] 2 97680bu2 [0,-1,0,-500,3852] 2
97680bv (1 curve)	0	2- 3+ 5- 11- 37+	2- 3+ 5-  2 11-  5  6  2
Curve Equation t 97680bv1 [0,-1,0,70235,-282455] 1
97680bw (1 curve)	0	2- 3+ 5- 11- 37+	2- 3+ 5-  2 11-  6 -3 -6
Curve Equation t 97680bw1 [0,-1,0,-3080,-867600] 1
97680bx (1 curve)	1	2- 3+ 5- 11- 37-	2- 3+ 5- -1 11-  1 -7  8
Curve Equation t Generators 97680bx1 [0,-1,0,-7920,119232] 1 [104:640:1]
97680by (2 curves)	1	2- 3+ 5- 11- 37-	2- 3+ 5-  4 11- -4 -3  4
Curve Equation t Generators 97680by1 [0,-1,0,-60,-900] 1 [17:52:1] 97680by2 [0,-1,0,540,23820] 1 [137:1628:1]
97680bz (4 curves)	1	2- 3- 5+ 11+ 37+	2- 3- 5+  0 11+  2  2  4
Curve Equation t Generators 97680bz1 [0,1,0,-50896,4402580] 2 [16420:184365:64] 97680bz2 [0,1,0,-51216,4344084] 4 [-129:2970:1] 97680bz3 [0,1,0,8784,13968084] 2 [-58041:2605130:729] 97680bz4 [0,1,0,-116336,-9018540] 2 [-22045:307314:125]
97680ca (4 curves)	1	2- 3- 5+ 11+ 37+	2- 3- 5+  0 11+  2 -2  4
Curve Equation t Generators 97680ca1 [0,1,0,-485445016,-4110494159980] 2 [399234186265863026491694432714015812518166:109783886322285175899963383111074818732589056:4860650449289709309870975948048565649] 97680ca2 [0,1,0,-644042136,-1195288777836] 4 [127730337579980892234:72453223479464202353664:394526346484607] 97680ca3 [0,1,0,2523957864,-9468837577836] 2 [54662710015431137366031413658623973684:31380533986749689793573983044581731589114:169860010644321216400965617931707] 97680ca4 [0,1,0,-6349596056,193653942033300] 2 [17688693914:268221474624:357911]
97680cb (2 curves)	1	2- 3- 5+ 11+ 37+	2- 3- 5+  0 11+  4  8 -4
Curve Equation t Generators 97680cb1 [0,1,0,-4301,81474] 2 [-26:420:1] 97680cb2 [0,1,0,-64196,6238680] 2 [14308:112875:64]
97680cc (1 curve)	1	2- 3- 5+ 11+ 37+	2- 3- 5+  0 11+  5 -2  4
Curve Equation t Generators 97680cc1 [0,1,0,-11261,456279] 1 [75:198:1]
97680cd (1 curve)	1	2- 3- 5+ 11+ 37+	2- 3- 5+  3 11+ -1  5  4
Curve Equation t Generators 97680cd1 [0,1,0,-546096,-155508396] 1 [2938296530:44639244288:3048625]
97680ce (1 curve)	1	2- 3- 5+ 11+ 37+	2- 3- 5+ -3 11+  5 -5  4
Curve Equation t Generators 97680ce1 [0,1,0,-15111416,-20014158636] 1 [-2813:15588:1]
97680cf (1 curve)	0	2- 3- 5+ 11+ 37-	2- 3- 5+ -1 11+  6  6  4
Curve Equation t 97680cf1 [0,1,0,-25101,-1539081] 1
97680cg (2 curves)	0	2- 3- 5+ 11+ 37-	2- 3- 5+  4 11+ -4  6 -6
Curve Equation t 97680cg1 [0,1,0,-171121,27191030] 2 97680cg2 [0,1,0,-2737996,1742890280] 2
97680ch (2 curves)	0	2- 3- 5+ 11+ 37-	2- 3- 5+ -4 11+  6  0  4
Curve Equation t 97680ch1 [0,1,0,38699,1875374] 2 97680ch2 [0,1,0,-186076,16171064] 2
97680ci (4 curves)	2	2- 3- 5+ 11- 37+	2- 3- 5+  0 11- -6 -2 -4
Curve Equation t Generators 97680ci1 [0,1,0,-2376,-42636] 2 [-25:42:1]&[-771:1414:27] 97680ci2 [0,1,0,-7496,196980] 4 [-68:630:1]&[-44:666:1] 97680ci3 [0,1,0,16184,1210484] 2 [-50:528:1]&[-28:858:1] 97680ci4 [0,1,0,-113096,14600820] 2 [204:246:1]&[636:14154:1]
97680cj (1 curve)	0	2- 3- 5+ 11- 37+	2- 3- 5+  2 11- -3 -2  2
Curve Equation t 97680cj1 [0,1,0,-38756261,-1371899756961] 1
97680ck (2 curves)	0	2- 3- 5+ 11- 37+	2- 3- 5+  2 11-  6 -2  2
Curve Equation t 97680ck1 [0,1,0,-146616,-18950316] 2 97680ck2 [0,1,0,232264,-100333740] 2
97680cl (1 curve)	0	2- 3- 5+ 11- 37+	2- 3- 5+  3 11- -5  5 -4
Curve Equation t 97680cl1 [0,1,0,-53096,4631604] 1
97680cm (1 curve)	2	2- 3- 5+ 11- 37+	2- 3- 5+ -3 11- -3 -5 -4
Curve Equation t Generators 97680cm1 [0,1,0,-19216,890900] 1 [-46:-1296:1]&[-100:1350:1]
97680cn (4 curves)	1	2- 3- 5+ 11- 37-	2- 3- 5+  0 11- -2  6  0
Curve Equation t Generators 97680cn1 [0,1,0,1144,-222156] 2 [34650:331584:343] 97680cn2 [0,1,0,-48856,-4042156] 4 [430:7392:1] 97680cn3 [0,1,0,-122856,11024244] 4 [324:2310:1] 97680cn4 [0,1,0,-774856,-262788556] 2 [1255:27258:1]
97680co (4 curves)	1	2- 3- 5+ 11- 37-	2- 3- 5+  0 11- -6  2 -8
Curve Equation t Generators 97680co1 [0,1,0,-14176,-240460] 2 [-214:2775:8] 97680co2 [0,1,0,-123696,16538004] 4 [170:672:1] 97680co3 [0,1,0,-26016,42052020] 2 [1391:51954:1] 97680co4 [0,1,0,-1973696,1066598004] 4 [-806:46200:1]
97680cp (2 curves)	1	2- 3- 5+ 11- 37-	2- 3- 5+  2 11- -2 -6  6
Curve Equation t Generators 97680cp1 [0,1,0,-496,3860] 2 [-1:66:1] 97680cp2 [0,1,0,384,16884] 2 [-6:120:1]
97680cq (2 curves)	1	2- 3- 5+ 11- 37-	2- 3- 5+ -2 11- -2 -6 -2
Curve Equation t Generators 97680cq1 [0,1,0,-5296,-71596] 2 [319:5550:1] 97680cq2 [0,1,0,18384,-516780] 2 [810:12375:8]
97680cr (1 curve)	1	2- 3- 5+ 11- 37-	2- 3- 5+ -3 11-  6  2  4
Curve Equation t Generators 97680cr1 [0,1,0,219,-45] 1 [6:39:1]
97680cs (1 curve)	0	2- 3- 5- 11+ 37+	2- 3- 5-  1 11+  1 -3  0
Curve Equation t 97680cs1 [0,1,0,-905880,-139986540] 1
97680ct (1 curve)	0	2- 3- 5- 11+ 37+	2- 3- 5- -1 11+ -3  3  0
Curve Equation t 97680ct1 [0,1,0,-13080,-578412] 1
97680cu (2 curves)	0	2- 3- 5- 11+ 37+	2- 3- 5-  2 11+  0  6  0
Curve Equation t 97680cu1 [0,1,0,-231665,49878750] 2 97680cu2 [0,1,0,-3873020,2932375368] 2
97680cv (1 curve)	0	2- 3- 5- 11+ 37+	2- 3- 5- -2 11+ -2 -3  6
Curve Equation t 97680cv1 [0,1,0,120,-780] 1
97680cw (1 curve)	2	2- 3- 5- 11+ 37+	2- 3- 5- -3 11+ -1 -7 -8
Curve Equation t Generators 97680cw1 [0,1,0,-199680,33794100] 1 [-510:1800:1]&[-60:-6750:1]
97680cx (2 curves)	0	2- 3- 5- 11+ 37+	2- 3- 5-  4 11+ -2 -6  6
Curve Equation t 97680cx1 [0,1,0,-7345,-242650] 2 97680cx2 [0,1,0,-1900,-588952] 2
97680cy (2 curves)	1	2- 3- 5- 11- 37+	2- 3- 5-  0 11-  0  0 -8
Curve Equation t Generators 97680cy1 [0,1,0,-605,2178] 2 [-14:90:1] 97680cy2 [0,1,0,-5060,-138600] 2 [103:666:1]
97680cz (2 curves)	1	2- 3- 5- 11- 37+	2- 3- 5-  2 11- -6 -2  2
Curve Equation t Generators 97680cz1 [0,1,0,-13640,-617100] 2 [190:1920:1] 97680cz2 [0,1,0,-10120,-939532] 2 [206:2400:1]
97680da (2 curves)	1	2- 3- 5- 11- 37+	2- 3- 5-  2 11- -6  6  6
Curve Equation t Generators 97680da1 [0,1,0,-293160,60899508] 2 [228:2442:1] 97680da2 [0,1,0,-198440,101022900] 2 [-242:11616:1]
97680db (4 curves)	0	2- 3- 5- 11- 37-	2- 3- 5-  0 11-  2  6  4
Curve Equation t 97680db1 [0,1,0,8680,3806868] 2 97680db2 [0,1,0,-319000,66852500] 4 97680db3 [0,1,0,-825880,-198955372] 2 97680db4 [0,1,0,-5055000,4372823700] 4

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

Part of Computational Number Theory
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