Cremona's table of elliptic curves

77910 = 2 · 3 · 5 · 7² · 53

Class	r	Atkin-Lehner	Eigenvalues
77910a (2 curves)	0	2+ 3+ 5+ 7- 53+	2+ 3+ 5+ 7-  2  2  6  4
Curve Equation t 77910a1 [1,1,0,-1838,-25248] 2 77910a2 [1,1,0,-27808,-1796402] 2
77910b (1 curve)	0	2+ 3+ 5+ 7- 53+	2+ 3+ 5+ 7- -2  6 -2 -4
Curve Equation t 77910b1 [1,1,0,1767,-766107] 1
77910c (2 curves)	0	2+ 3+ 5+ 7- 53+	2+ 3+ 5+ 7-  4  0  4  2
Curve Equation t 77910c1 [1,1,0,-12863,554373] 2 77910c2 [1,1,0,-6983,1070637] 2
77910d (4 curves)	0	2+ 3+ 5+ 7- 53+	2+ 3+ 5+ 7-  4 -2 -2  0
Curve Equation t 77910d1 [1,1,0,-192203,27478893] 2 77910d2 [1,1,0,-2945023,1943992177] 4 77910d3 [1,1,0,-2815173,2123366967] 2 77910d4 [1,1,0,-47119993,124476523963] 2
77910e (2 curves)	0	2+ 3+ 5+ 7- 53+	2+ 3+ 5+ 7-  4  4 -8 -6
Curve Equation t 77910e1 [1,1,0,-549168,-134376192] 2 77910e2 [1,1,0,956112,-739799808] 2
77910f (2 curves)	0	2+ 3+ 5+ 7- 53+	2+ 3+ 5+ 7- -4  4  0  2
Curve Equation t 77910f1 [1,1,0,-137323,14543677] 2 77910f2 [1,1,0,338957,93701413] 2
77910g (2 curves)	0	2+ 3+ 5+ 7- 53+	2+ 3+ 5+ 7- -4 -4  0 -2
Curve Equation t 77910g1 [1,1,0,-7141628,6564907728] 2 77910g2 [1,1,0,10004452,33275071152] 2
77910h (1 curve)	2	2+ 3+ 5+ 7- 53+	2+ 3+ 5+ 7- -5  5 -2  8
Curve Equation t Generators 77910h1 [1,1,0,13842,-2234952] 1 [118:970:1]&[122:1074:1]
77910i (2 curves)	0	2+ 3+ 5+ 7- 53+	2+ 3+ 5+ 7- -6  2  0 -4
Curve Equation t 77910i1 [1,1,0,-952788,277092432] 2 77910i2 [1,1,0,2193292,1724918448] 2
77910j (2 curves)	0	2+ 3+ 5+ 7- 53+	2+ 3+ 5+ 7- -6 -2  6  4
Curve Equation t 77910j1 [1,1,0,3569037,2429811693] 1 77910j2 [1,1,0,-90970338,336664318068] 1
77910k (2 curves)	1	2+ 3+ 5+ 7- 53-	2+ 3+ 5+ 7- -2 -4  2 -4
Curve Equation t Generators 77910k1 [1,1,0,5022,40608] 2 [41:543:1] 77910k2 [1,1,0,-20948,305502] 2 [-71:1236:1]
77910l (1 curve)	1	2+ 3+ 5+ 7- 53-	2+ 3+ 5+ 7-  3  1  2  6
Curve Equation t Generators 77910l1 [1,1,0,32647597,-140255726547] 1 [41284806808598906:36262435784630670147:53454818663]
77910m (4 curves)	1	2+ 3+ 5- 7- 53+	2+ 3+ 5- 7-  0  2 -2  4
Curve Equation t Generators 77910m1 [1,1,0,3013,-18339] 2 [55:536:1] 77910m2 [1,1,0,-12667,-165731] 4 [-57:641:1] 77910m3 [1,1,0,-116547,15146181] 2 [-183:5604:1] 77910m4 [1,1,0,-159667,-24597131] 2 [-225:137:1]
77910n (4 curves)	1	2+ 3+ 5- 7- 53+	2+ 3+ 5- 7-  0  2 -2  4
Curve Equation t Generators 77910n1 [1,1,0,171818,85724164] 2 [-60:8702:1] 77910n2 [1,1,0,-2181162,1124329536] 4 [-888:49044:1] 77910n3 [1,1,0,-8015592,-7507126206] 2 [-11906:274703:8] 77910n4 [1,1,0,-33994412,76273588686] 2 [27390:32463:8]
77910o (4 curves)	1	2+ 3+ 5- 7- 53+	2+ 3+ 5- 7-  0  2  6  0
Curve Equation t Generators 77910o1 [1,1,0,-201807,-115601499] 2 [17130:85907:27] 77910o2 [1,1,0,-5003807,-4301985099] 4 [83666141182:1688269627579:30080231] 77910o3 [1,1,0,-6821707,-898512719] 2 [68201474936925:18980229880647787:876467493] 77910o4 [1,1,0,-80017907,-275537967879] 2 [63356176285485:17541993032320523:812166237]
77910p (4 curves)	1	2+ 3+ 5- 7- 53+	2+ 3+ 5- 7-  0 -2  6 -2
Curve Equation t Generators 77910p1 [1,1,0,-54562,-5375264] 2 [14665986:83340772:50653] 77910p2 [1,1,0,-894912,-326220894] 2 [500073685:-49703746193:50653] 77910p3 [1,1,0,341603,7525309] 2 [153:7886:1] 77910p4 [1,1,0,-1373397,58632309] 2 [2113:80161:1]
77910q (2 curves)	1	2+ 3+ 5- 7- 53+	2+ 3+ 5- 7- -6  2 -2 -8
Curve Equation t Generators 77910q1 [1,1,0,-110912,-14217216] 2 [-12524:19247:64] 77910q2 [1,1,0,-1772992,-909413504] 2 [14846:367427:8]
77910r (2 curves)	0	2+ 3+ 5- 7- 53-	2+ 3+ 5- 7- -2 -2  4 -4
Curve Equation t 77910r1 [1,1,0,-2239472,-1293705216] 2 77910r2 [1,1,0,-35853472,-82646308016] 2
77910s (2 curves)	2	2+ 3+ 5- 7- 53-	2+ 3+ 5- 7- -3 -5 -3 -2
Curve Equation t Generators 77910s1 [1,1,0,-7452,-177876] 1 [378:-7344:1]&[-62:256:1] 77910s2 [1,1,0,-224487,40835061] 1 [-538:2769:1]&[87:4644:1]
77910t (2 curves)	0	2+ 3+ 5- 7- 53-	2+ 3+ 5- 7-  4  4  4 -4
Curve Equation t 77910t1 [1,1,0,-1152,3564] 2 77910t2 [1,1,0,-14382,657126] 2
77910u (1 curve)	0	2+ 3+ 5- 7- 53-	2+ 3+ 5- 7- -5 -2  4 -1
Curve Equation t 77910u1 [1,1,0,12659713,-12584894139] 1
77910v (2 curves)	1	2+ 3- 5+ 7+ 53-	2+ 3- 5+ 7+ -3  5  3  2
Curve Equation t Generators 77910v1 [1,0,1,-365174,59915972] 3 [1131:32509:1] 77910v2 [1,0,1,-10999889,-14039425564] 1 [8763:745618:1]
77910w (2 curves)	1	2+ 3- 5+ 7- 53+	2+ 3- 5+ 7- -2 -6  6  0
Curve Equation t Generators 77910w1 [1,0,1,-730959,-239476478] 2 [-472:897:1] 77910w2 [1,0,1,-1146479,63520706] 2 [-234:-17744:1]
77910x (1 curve)	1	2+ 3- 5- 7+ 53+	2+ 3- 5- 7+ -2 -6  2  4
Curve Equation t Generators 77910x1 [1,0,1,86557,263034398] 1 [5247:378400:1]
77910y (2 curves)	1	2+ 3- 5- 7+ 53+	2+ 3- 5- 7+ -6  2 -6 -4
Curve Equation t Generators 77910y1 [1,0,1,72837,-7073594] 3 [95:792:1] 77910y2 [1,0,1,-1856538,-981793844] 1 [2045:60417:1]
77910z (1 curve)	0	2+ 3- 5- 7- 53+	2+ 3- 5- 7-  1  2 -4 -7
Curve Equation t 77910z1 [1,0,1,317,2006] 1
77910ba (1 curve)	2	2+ 3- 5- 7- 53+	2+ 3- 5- 7- -1 -7 -6  2
Curve Equation t Generators 77910ba1 [1,0,1,-51133,4506968] 1 [-101:-2890:1]&[-248:1520:1]
77910bb (4 curves)	0	2+ 3- 5- 7- 53+	2+ 3- 5- 7-  4  2  2  8
Curve Equation t 77910bb1 [1,0,1,-771188,81492338] 2 77910bb2 [1,0,1,-9802868,11801000306] 4 77910bb3 [1,0,1,-7309748,17948036978] 2 77910bb4 [1,0,1,-156802868,755738600306] 2
77910bc (4 curves)	0	2+ 3- 5- 7- 53+	2+ 3- 5- 7-  4  6  6 -4
Curve Equation t 77910bc1 [1,0,1,-441908,101693666] 2 77910bc2 [1,0,1,-6871688,6932691938] 4 77910bc3 [1,0,1,-6673238,7351977098] 2 77910bc4 [1,0,1,-109946618,443723015306] 2
77910bd (4 curves)	0	2+ 3- 5- 7- 53+	2+ 3- 5- 7-  4 -6 -2  4
Curve Equation t 77910bd1 [1,0,1,317,2183486] 2 77910bd2 [1,0,1,-250563,47442238] 4 77910bd3 [1,0,1,-524963,-75159682] 2 77910bd4 [1,0,1,-3990243,3067607806] 2
77910be (4 curves)	0	2+ 3- 5- 7- 53+	2+ 3- 5- 7- -4  2  6  8
Curve Equation t 77910be1 [1,0,1,-6510528743,202195136721386] 2 77910be2 [1,0,1,-6574754023,198002279231978] 4 77910be3 [1,0,1,2938991897,723621519318506] 2 77910be4 [1,0,1,-17116104423,-595959583275542] 2
77910bf (4 curves)	0	2+ 3- 5- 7- 53+	2+ 3- 5- 7- -4  2 -6  0
Curve Equation t 77910bf1 [1,0,1,-15608,-701242] 2 77910bf2 [1,0,1,-50888,3588806] 4 77910bf3 [1,0,1,104932,21289958] 2 77910bf4 [1,0,1,-771188,260591846] 2
77910bg (1 curve)	2	2+ 3- 5- 7- 53+	2+ 3- 5- 7- -5 -5  2 -8
Curve Equation t Generators 77910bg1 [1,0,1,282,6556] 1 [-13:33:1]&[-10:57:1]
77910bh (2 curves)	0	2+ 3- 5- 7- 53+	2+ 3- 5- 7- -6 -2  0  4
Curve Equation t 77910bh1 [1,0,1,-46686638,-95182764064] 2 77910bh2 [1,0,1,107471282,-591324613792] 2
77910bi (2 curves)	1	2+ 3- 5- 7- 53-	2+ 3- 5- 7-  0  0 -2  0
Curve Equation t Generators 77910bi1 [1,0,1,-1694103,983691706] 2 [-1480:16542:1] 77910bi2 [1,0,1,-28287383,57903948218] 2 [3084:-1175:1]
77910bj (2 curves)	1	2+ 3- 5- 7- 53-	2+ 3- 5- 7-  0  0 -8  0
Curve Equation t Generators 77910bj1 [1,0,1,-508303,-139278142] 2 [-402:568:1] 77910bj2 [1,0,1,-8128783,-8921119294] 2 [-205770:103541:125]
77910bk (2 curves)	1	2+ 3- 5- 7- 53-	2+ 3- 5- 7-  2 -6  4 -2
Curve Equation t Generators 77910bk1 [1,0,1,-40353,-3508844] 2 [242:834:1] 77910bk2 [1,0,1,-667553,-209983084] 2 [18162:-2454206:1]
77910bl (1 curve)	1	2+ 3- 5- 7- 53-	2+ 3- 5- 7-  3  3 -2  6
Curve Equation t Generators 77910bl1 [1,0,1,-1153,-22984] 1 [117:1144:1]
77910bm (2 curves)	1	2+ 3- 5- 7- 53-	2+ 3- 5- 7-  6 -2  0 -6
Curve Equation t Generators 77910bm1 [1,0,1,-6543,366958] 2 [-31:750:1] 77910bm2 [1,0,1,-126593,17318018] 2 [162:952:1]
77910bn (2 curves)	1	2+ 3- 5- 7- 53-	2+ 3- 5- 7- -6 -6  4  6
Curve Equation t Generators 77910bn1 [1,0,1,16242,35107468] 2 [-136:-5445:1] 77910bn2 [1,0,1,-1515008,701507468] 2 [264:17755:1]
77910bo (1 curve)	2	2- 3+ 5+ 7+ 53+	2- 3+ 5+ 7+ -5  1 -5 -4
Curve Equation t Generators 77910bo1 [1,1,1,-667871,-191410171] 1 [-357:-1118:1]&[-421:-3710:1]
77910bp (4 curves)	1	2- 3+ 5+ 7- 53+	2- 3+ 5+ 7-  0  4  0 -8
Curve Equation t Generators 77910bp1 [1,1,1,-10291,273713] 2 [-113:154:1] 77910bp2 [1,1,1,-63211,-5928511] 2 [-167:154:1] 77910bp3 [1,1,1,-759991,254695433] 2 [-7834:66437:8] 77910bp4 [1,1,1,-761461,253658789] 2 [-10429166:-77999049:10648]
77910bq (2 curves)	1	2- 3+ 5+ 7- 53+	2- 3+ 5+ 7-  0  4  6  8
Curve Equation t Generators 77910bq1 [1,1,1,12494,-5522497] 2 [251:3549:1] 77910bq2 [1,1,1,-403026,-94942401] 2 [-393:1911:1]
77910br (2 curves)	1	2- 3+ 5+ 7- 53+	2- 3+ 5+ 7-  2 -2  0  2
Curve Equation t Generators 77910br1 [1,1,1,-491,9113] 2 [-1:98:1] 77910br2 [1,1,1,-10291,397193] 2 [17:468:1]
77910bs (2 curves)	1	2- 3+ 5+ 7- 53+	2- 3+ 5+ 7- -2  6  4 -4
Curve Equation t Generators 77910bs1 [1,1,1,-169786,-34203961] 2 [601:8715:1] 77910bs2 [1,1,1,-2913786,-1915490361] 2 [-981:735:1]
77910bt (1 curve)	1	2- 3+ 5+ 7- 53+	2- 3+ 5+ 7-  3 -1 -2  8
Curve Equation t Generators 77910bt1 [1,1,1,-5881,323399] 1 [-29:700:1]
77910bu (2 curves)	1	2- 3+ 5+ 7- 53+	2- 3+ 5+ 7- -6 -2  0  2
Curve Equation t Generators 77910bu1 [1,1,1,61161064,143007225689] 2 [-1723:181181:1] 77910bu2 [1,1,1,-315315736,1286894334809] 2 [166347:-67551029:1]
77910bv (2 curves)	0	2- 3+ 5+ 7- 53-	2- 3+ 5+ 7-  2 -2  6 -4
Curve Equation t 77910bv1 [1,1,1,-4411,-70267] 2 77910bv2 [1,1,1,-30381,1976169] 2
77910bw (2 curves)	0	2- 3+ 5+ 7- 53-	2- 3+ 5+ 7-  4  6  2  2
Curve Equation t 77910bw1 [1,1,1,8574,-422577] 2 77910bw2 [1,1,1,-60026,-4428817] 2
77910bx (2 curves)	0	2- 3+ 5- 7- 53+	2- 3+ 5- 7- -3  1  6 -2
Curve Equation t 77910bx1 [1,1,1,-31410,21632127] 1 77910bx2 [1,1,1,-6937470,7030378095] 1
77910by (1 curve)	0	2- 3+ 5- 7- 53+	2- 3+ 5- 7- -3  2  4  7
Curve Equation t 77910by1 [1,1,1,-19895,-1261555] 1
77910bz (2 curves)	1	2- 3+ 5- 7- 53-	2- 3+ 5- 7-  0 -6 -4  4
Curve Equation t Generators 77910bz1 [1,1,1,-3935,-90763] 2 [-43:56:1] 77910bz2 [1,1,1,3485,-384595] 2 [63:268:1]
77910ca (1 curve)	1	2- 3+ 5- 7- 53-	2- 3+ 5- 7-  2 -2 -6 -4
Curve Equation t Generators 77910ca1 [1,1,1,-50,335] 1 [3:-17:1]
77910cb (4 curves)	1	2- 3+ 5- 7- 53-	2- 3+ 5- 7- -4 -2  6 -4
Curve Equation t Generators 77910cb1 [1,1,1,-532893670,4727059649507] 4 [12627:-114359:1] 77910cb2 [1,1,1,-709074150,1332696049635] 4 [-13446693:2086169057:729] 77910cb3 [1,1,1,2782748170,10570661179427] 2 [144049444827:57594252377711:1030301] 77910cb4 [1,1,1,-7019784150,-225141015862365] 2 [155303:49221963:1]
77910cc (1 curve)	0	2- 3- 5+ 7+ 53-	2- 3- 5+ 7+  2  2  6  4
Curve Equation t 77910cc1 [1,0,0,-2451,-122319] 1
77910cd (2 curves)	0	2- 3- 5+ 7- 53+	2- 3- 5+ 7-  4 -4 -2 -8
Curve Equation t 77910cd1 [1,0,0,-4978862806,-135328612614364] 2 77910cd2 [1,0,0,-79679386326,-8656999994624220] 2
77910ce (2 curves)	0	2- 3- 5+ 7- 53+	2- 3- 5+ 7- -4  0  4  4
Curve Equation t 77910ce1 [1,0,0,-8331,-263439] 2 77910ce2 [1,0,0,-31851,1905105] 2
77910cf (4 curves)	1	2- 3- 5+ 7- 53-	2- 3- 5+ 7-  0  2  2  0
Curve Equation t Generators 77910cf1 [1,0,0,-28421,261032001] 2 [-402:14607:1] 77910cf2 [1,0,0,-6300421,6002420801] 4 [-374:91327:1] 77910cf3 [1,0,0,-12533221,-7838134879] 2 [-1010:62071:1] 77910cf4 [1,0,0,-100419621,387316947681] 2 [3840:239601:1]
77910cg (4 curves)	1	2- 3- 5+ 7- 53-	2- 3- 5+ 7-  0  2  2 -8
Curve Equation t Generators 77910cg1 [1,0,0,-1471,-30199] 2 [3518:71741:8] 77910cg2 [1,0,0,-25971,-1612899] 4 [97674:1872943:216] 77910cg3 [1,0,0,-28421,-1290969] 2 [-3884:31357:64] 77910cg4 [1,0,0,-415521,-103129629] 2 [-3546819527480:1773430462909:9528128000]
77910ch (2 curves)	1	2- 3- 5+ 7- 53-	2- 3- 5+ 7-  0  6  4 -4
Curve Equation t Generators 77910ch1 [1,0,0,-192816,30553200] 2 [-486:3330:1] 77910ch2 [1,0,0,170764,132428316] 2 [-380:3754:1]
77910ci (2 curves)	1	2- 3- 5+ 7- 53-	2- 3- 5+ 7- -2  2 -2  0
Curve Equation t Generators 77910ci1 [1,0,0,-159006,22231236] 2 [158:950:1] 77910ci2 [1,0,0,-574526,-143062620] 2 [5338:383206:1]
77910cj (4 curves)	1	2- 3- 5+ 7- 53-	2- 3- 5+ 7-  4  2 -2  0
Curve Equation t Generators 77910cj1 [1,0,0,-44372441,-113771166279] 2 [-18895330:9433223:4913] 77910cj2 [1,0,0,-44376361,-113750060215] 4 [-3796:4601:1] 77910cj3 [1,0,0,-37946581,-147865186939] 2 [210530:96451301:1] 77910cj4 [1,0,0,-50868861,-78284129715] 2 [8454:305445:1]
77910ck (4 curves)	1	2- 3- 5+ 7- 53-	2- 3- 5+ 7-  4 -6  6  0
Curve Equation t Generators 77910ck1 [1,0,0,-6616,-18880] 2 [-16:296:1] 77910ck2 [1,0,0,-69336,6993216] 4 [186:-828:1] 77910ck3 [1,0,0,-34056,14112720] 2 [18:-3684:1] 77910ck4 [1,0,0,-1108136,448898736] 2 [610:-206:1]
77910cl (1 curve)	1	2- 3- 5+ 7- 53-	2- 3- 5+ 7- -5  2 -8 -3
Curve Equation t Generators 77910cl1 [1,0,0,-424763361,3369489642441] 1 [12006:-26253:1]
77910cm (2 curves)	1	2- 3- 5- 7- 53+	2- 3- 5- 7-  2  0 -2  4
Curve Equation t Generators 77910cm1 [1,0,0,168265,52173225] 2 [190:-9635:1] 77910cm2 [1,0,0,-1493815,596338217] 2 [74:22013:1]
77910cn (2 curves)	1	2- 3- 5- 7- 53+	2- 3- 5- 7-  2 -4 -6 -4
Curve Equation t Generators 77910cn1 [1,0,0,77146530,-129910038588] 2 [4764:585618:1] 77910cn2 [1,0,0,-348345950,-1099777597500] 2 [-13100:1109050:1]
77910co (2 curves)	1	2- 3- 5- 7- 53+	2- 3- 5- 7- -2 -4  2  4
Curve Equation t Generators 77910co1 [1,0,0,-74040,-22623168] 2 [800272:-16718312:1331] 77910co2 [1,0,0,-1736120,-879259200] 2 [2440:95800:1]
77910cp (2 curves)	1	2- 3- 5- 7- 53+	2- 3- 5- 7- -2 -4  2 -4
Curve Equation t Generators 77910cp1 [1,0,0,-5685,293985] 2 [12:-483:1] 77910cp2 [1,0,0,-109565,13943817] 2 [172:-527:1]
77910cq (1 curve)	1	2- 3- 5- 7- 53+	2- 3- 5- 7-  3  1  2 -8
Curve Equation t Generators 77910cq1 [1,0,0,-120,-960] 1 [32:152:1]
77910cr (1 curve)	1	2- 3- 5- 7- 53+	2- 3- 5- 7- -5 -1  5  4
Curve Equation t Generators 77910cr1 [1,0,0,-13630,556100] 1 [20:-550:1]
77910cs (1 curve)	0	2- 3- 5- 7- 53-	2- 3- 5- 7- -1  6  4  1
Curve Equation t 77910cs1 [1,0,0,-5391030,-4818462300] 1
77910ct (2 curves)	0	2- 3- 5- 7- 53-	2- 3- 5- 7-  2  6 -2  4
Curve Equation t 77910ct1 [1,0,0,-54195,4612257] 2 77910ct2 [1,0,0,-158075,-18386775] 2
77910cu (2 curves)	0	2- 3- 5- 7- 53-	2- 3- 5- 7-  4 -4  4  6
Curve Equation t 77910cu1 [1,0,0,-6665,208725] 2 77910cu2 [1,0,0,-5195,303687] 2

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