Cremona's table of elliptic curves

76650 = 2 · 3 · 5² · 7 · 73

Class	r	Atkin-Lehner	Eigenvalues
76650a (4 curves)	1	2+ 3+ 5+ 7+ 73+	2+ 3+ 5+ 7+  0  6 -2 -4
Curve Equation t Generators 76650a1 [1,1,0,-89775,4465125] 2 [-1890:29295:8] 76650a2 [1,1,0,-737775,-241126875] 4 [-3938:15983:8] 76650a3 [1,1,0,-80775,-654379875] 2 [46010614:-2320181265:17576] 76650a4 [1,1,0,-11762775,-15532801875] 2 [-21081478:10608105:10648]
76650b (1 curve)	1	2+ 3+ 5+ 7+ 73+	2+ 3+ 5+ 7+ -1  0 -3  1
Curve Equation t Generators 76650b1 [1,1,0,35,-35] 1 [1:1:1]
76650c (2 curves)	1	2+ 3+ 5+ 7+ 73+	2+ 3+ 5+ 7+  3  4 -3  5
Curve Equation t Generators 76650c1 [1,1,0,-5950,311500] 1 [181:2191:1] 76650c2 [1,1,0,50300,-5932250] 1 [1027729:14818069:6859]
76650d (6 curves)	1	2+ 3+ 5+ 7+ 73+	2+ 3+ 5+ 7+ -4 -6  6  4
Curve Equation t Generators 76650d1 [1,1,0,-2293000,1335400000] 2 [-1145:50185:1] 76650d2 [1,1,0,-2455000,1135654000] 4 [-1161:49801:1] 76650d3 [1,1,0,5757500,7122566500] 2 [9465:949030:1] 76650d4 [1,1,0,-13259500,-17631762500] 4 [-2061:31801:1] 76650d5 [1,1,0,9709250,-72274418750] 2 [73144851:-7687205410:6859] 76650d6 [1,1,0,-209100250,-1163887672250] 2 [-4110437229:2140156490:493039]
76650e (1 curve)	2	2+ 3+ 5+ 7- 73+	2+ 3+ 5+ 7-  0 -1 -6  1
Curve Equation t Generators 76650e1 [1,1,0,-101950,12487000] 1 [186:-142:1]&[-10:3680:1]
76650f (1 curve)	2	2+ 3+ 5+ 7- 73+	2+ 3+ 5+ 7- -6  2 -3  1
Curve Equation t Generators 76650f1 [1,1,0,2125,202125] 1 [-5:440:1]&[65:755:1]
76650g (1 curve)	1	2+ 3+ 5+ 7- 73-	2+ 3+ 5+ 7-  1  0  3  1
Curve Equation t Generators 76650g1 [1,1,0,-3920,-101280] 1 [89:470:1]
76650h (1 curve)	1	2+ 3+ 5+ 7- 73-	2+ 3+ 5+ 7-  2 -4  1  7
Curve Equation t Generators 76650h1 [1,1,0,-138750,39249000] 1 [590:12480:1]
76650i (1 curve)	1	2+ 3+ 5+ 7- 73-	2+ 3+ 5+ 7- -2 -3  6  1
Curve Equation t Generators 76650i1 [1,1,0,11725,1270125] 1 [-74:101:1]
76650j (1 curve)	1	2+ 3+ 5+ 7- 73-	2+ 3+ 5+ 7-  3  0 -6  2
Curve Equation t Generators 76650j1 [1,1,0,-535,4585] 1 [16:-29:1]
76650k (1 curve)	1	2+ 3+ 5+ 7- 73-	2+ 3+ 5+ 7-  3 -6 -3 -3
Curve Equation t Generators 76650k1 [1,1,0,2800,117750] 1 [101:1151:1]
76650l (1 curve)	1	2+ 3+ 5+ 7- 73-	2+ 3+ 5+ 7-  3 -6 -3  5
Curve Equation t Generators 76650l1 [1,1,0,3995,-363635] 1 [721:19081:1]
76650m (1 curve)	1	2+ 3+ 5+ 7- 73-	2+ 3+ 5+ 7- -3  1 -6  0
Curve Equation t Generators 76650m1 [1,1,0,-1750,77500] 1 [75:575:1]
76650n (1 curve)	1	2+ 3+ 5+ 7- 73-	2+ 3+ 5+ 7- -3  4 -1  1
Curve Equation t Generators 76650n1 [1,1,0,-43801515,111560583555] 1 [1956168:-977895:512]
76650o (1 curve)	1	2+ 3+ 5+ 7- 73-	2+ 3+ 5+ 7- -3  4  6 -6
Curve Equation t Generators 76650o1 [1,1,0,-380880,-91546560] 1 [744:5760:1]
76650p (1 curve)	1	2+ 3+ 5+ 7- 73-	2+ 3+ 5+ 7-  5 -4  7  1
Curve Equation t Generators 76650p1 [1,1,0,-30325445,-293240928435] 1 [256729276219911413933:17634619905883694932022:24668346691749727]
76650q (1 curve)	2	2+ 3+ 5- 7+ 73+	2+ 3+ 5- 7+  1  2 -4 -6
Curve Equation t Generators 76650q1 [1,1,0,-23450,1396500] 1 [-140:1470:1]&[-91:1715:1]
76650r (1 curve)	1	2+ 3+ 5- 7+ 73-	2+ 3+ 5- 7+  0 -4  3 -5
Curve Equation t Generators 76650r1 [1,1,0,412300,-208446000] 1 [18430:902035:8]
76650s (1 curve)	1	2+ 3+ 5- 7- 73+	2+ 3+ 5- 7- -5 -6  4  6
Curve Equation t Generators 76650s1 [1,1,0,43425,-99409275] 1 [1710:69705:1]
76650t (2 curves)	0	2+ 3+ 5- 7- 73-	2+ 3+ 5- 7-  0  6  2  6
Curve Equation t 76650t1 [1,1,0,-420,-900] 2 76650t2 [1,1,0,-4070,97650] 2
76650u (1 curve)	0	2+ 3+ 5- 7- 73-	2+ 3+ 5- 7-  3 -1  2  0
Curve Equation t 76650u1 [1,1,0,945,-18225] 1
76650v (2 curves)	0	2+ 3+ 5- 7- 73-	2+ 3+ 5- 7- -4  6  2  0
Curve Equation t 76650v1 [1,1,0,-299596405,1998574362925] 2 76650v2 [1,1,0,-4795366005,127812686618925] 2
76650w (1 curve)	0	2+ 3- 5+ 7+ 73+	2+ 3- 5+ 7+  1  4 -7 -5
Curve Equation t 76650w1 [1,0,1,-219076,-40576702] 1
76650x (1 curve)	0	2+ 3- 5+ 7+ 73+	2+ 3- 5+ 7+  2  0  3  1
Curve Equation t 76650x1 [1,0,1,965724,317230198] 1
76650y (1 curve)	0	2+ 3- 5+ 7+ 73+	2+ 3- 5+ 7+  2  5  5  6
Curve Equation t 76650y1 [1,0,1,3119,37028] 1
76650z (1 curve)	0	2+ 3- 5+ 7+ 73+	2+ 3- 5+ 7+  3 -1 -6  4
Curve Equation t 76650z1 [1,0,1,327849,35336698] 1
76650ba (4 curves)	0	2+ 3- 5+ 7+ 73+	2+ 3- 5+ 7+  4 -2  2  4
Curve Equation t 76650ba1 [1,0,1,-4026,97948] 2 76650ba2 [1,0,1,-4526,71948] 4 76650ba3 [1,0,1,13724,509948] 2 76650ba4 [1,0,1,-30776,-2028052] 2
76650bb (1 curve)	0	2+ 3- 5+ 7+ 73+	2+ 3- 5+ 7+  5  0 -3 -5
Curve Equation t 76650bb1 [1,0,1,-1438531,664296638] 1
76650bc (1 curve)	1	2+ 3- 5+ 7+ 73-	2+ 3- 5+ 7+  4 -1  5 -2
Curve Equation t Generators 76650bc1 [1,0,1,-246,-2432] 1 [26:81:1]
76650bd (4 curves)	1	2+ 3- 5+ 7+ 73-	2+ 3- 5+ 7+  4  6  2  0
Curve Equation t Generators 76650bd1 [1,0,1,8224,1937198] 2 [-39:1267:1] 76650bd2 [1,0,1,-191776,30737198] 4 [-287:8027:1] 76650bd3 [1,0,1,-556776,-121102802] 2 [-412:6402:1] 76650bd4 [1,0,1,-3026776,2026577198] 2 [1012:-94:1]
76650be (1 curve)	1	2+ 3- 5+ 7+ 73-	2+ 3- 5+ 7+ -5 -4 -2 -4
Curve Equation t Generators 76650be1 [1,0,1,-148476576,-699775549202] 1 [23561:-2991933:1]
76650bf (2 curves)	1	2+ 3- 5+ 7+ 73-	2+ 3- 5+ 7+ -6 -2  4 -4
Curve Equation t Generators 76650bf1 [1,0,1,-1948626,-1047125852] 2 [-808:516:1] 76650bf2 [1,0,1,-1875626,-1129177852] 2 [2112:64756:1]
76650bg (4 curves)	1	2+ 3- 5+ 7- 73+	2+ 3- 5+ 7-  0 -2 -2  4
Curve Equation t Generators 76650bg1 [1,0,1,-10616026,13305239948] 2 [1015304:3198067:512] 76650bg2 [1,0,1,-12664026,7808407948] 4 [-2947:141249:1] 76650bg3 [1,0,1,44567974,58859351948] 2 [1974:2113667:8] 76650bg4 [1,0,1,-102664026,-395031592052] 2 [-376108:4868061:64]
76650bh (1 curve)	1	2+ 3- 5+ 7- 73+	2+ 3- 5+ 7-  6 -4 -3  5
Curve Equation t Generators 76650bh1 [1,0,1,26499,-5533352] 1 [1507:58046:1]
76650bi (4 curves)	0	2+ 3- 5+ 7- 73-	2+ 3- 5+ 7-  4 -2 -6  4
Curve Equation t 76650bi1 [1,0,1,7724,735698] 2 76650bi2 [1,0,1,-90276,9359698] 4 76650bi3 [1,0,1,-345776,-68312302] 2 76650bi4 [1,0,1,-1402776,639359698] 2
76650bj (2 curves)	0	2+ 3- 5+ 7- 73-	2+ 3- 5+ 7-  4  4  0  4
Curve Equation t 76650bj1 [1,0,1,-1426116126,20728978981648] 2 76650bj2 [1,0,1,-1422228126,20847625189648] 2
76650bk (1 curve)	2	2+ 3- 5+ 7- 73-	2+ 3- 5+ 7- -4 -3 -2 -1
Curve Equation t Generators 76650bk1 [1,0,1,-544776,743962198] 1 [521:-24789:1]&[-823:25611:1]
76650bl (1 curve)	1	2+ 3- 5- 7+ 73+	2+ 3- 5- 7+  0 -7 -3 -6
Curve Equation t Generators 76650bl1 [1,0,1,-1551,-32702] 1 [1812:10102:27]
76650bm (1 curve)	2	2+ 3- 5- 7+ 73-	2+ 3- 5- 7+ -1 -2 -4 -4
Curve Equation t Generators 76650bm1 [1,0,1,-2726,64748] 1 [132:1351:1]&[27:-119:1]
76650bn (2 curves)	0	2+ 3- 5- 7- 73+	2+ 3- 5- 7-  4  2  6  4
Curve Equation t 76650bn1 [1,0,1,354,-64112] 2 76650bn2 [1,0,1,-22046,-1228912] 2
76650bo (1 curve)	0	2+ 3- 5- 7- 73+	2+ 3- 5- 7- -5 -5  6  0
Curve Equation t 76650bo1 [1,0,1,-10231,-399142] 1
76650bp (1 curve)	1	2+ 3- 5- 7- 73-	2+ 3- 5- 7- -3  6 -4 -4
Curve Equation t Generators 76650bp1 [1,0,1,2299,8048] 1 [27:-314:1]
76650bq (2 curves)	1	2+ 3- 5- 7- 73-	2+ 3- 5- 7-  4 -2 -2 -2
Curve Equation t Generators 76650bq1 [1,0,1,-30201,1783048] 2 [-19:1542:1] 76650bq2 [1,0,1,-121451,-14459452] 2 [-144:292:1]
76650br (1 curve)	1	2+ 3- 5- 7- 73-	2+ 3- 5- 7-  4 -2  7 -5
Curve Equation t Generators 76650br1 [1,0,1,-136,-1882] 1 [37:-229:1]
76650bs (1 curve)	2	2- 3+ 5+ 7+ 73+	2- 3+ 5+ 7+ -3 -6  4 -4
Curve Equation t Generators 76650bs1 [1,1,1,92,101] 1 [-1:3:1]&[1:13:1]
76650bt (2 curves)	0	2- 3+ 5+ 7+ 73+	2- 3+ 5+ 7+ -6  7  6 -7
Curve Equation t 76650bt1 [1,1,1,-45588,3958281] 1 76650bt2 [1,1,1,261537,3107781] 1
76650bu (2 curves)	1	2- 3+ 5+ 7+ 73-	2- 3+ 5+ 7+  0  0  4  0
Curve Equation t Generators 76650bu1 [1,1,1,-1413,-6969] 2 [-90:741:8] 76650bu2 [1,1,1,5337,-47469] 2 [1638:24069:8]
76650bv (1 curve)	1	2- 3+ 5+ 7+ 73-	2- 3+ 5+ 7+ -1 -5 -2  0
Curve Equation t Generators 76650bv1 [1,1,1,-1063,-13969] 1 [710:5841:8]
76650bw (1 curve)	1	2- 3+ 5+ 7- 73+	2- 3+ 5+ 7-  0 -1  2  1
Curve Equation t Generators 76650bw1 [1,1,1,-2813,56531] 1 [35:32:1]
76650bx (1 curve)	1	2- 3+ 5+ 7- 73+	2- 3+ 5+ 7- -1  2  4 -4
Curve Equation t Generators 76650bx1 [1,1,1,-68138,8093531] 1 [-231:3517:1]
76650by (4 curves)	1	2- 3+ 5+ 7- 73+	2- 3+ 5+ 7- -4  2 -2 -4
Curve Equation t Generators 76650by1 [1,1,1,19412,-967219] 2 [109:1513:1] 76650by2 [1,1,1,-108588,-9159219] 4 [-219:2153:1] 76650by3 [1,1,1,-696588,216632781] 2 [705:-9103:1] 76650by4 [1,1,1,-1568588,-756679219] 2 [-719:653:1]
76650bz (2 curves)	0	2- 3+ 5+ 7- 73-	2- 3+ 5+ 7-  0  4  0  0
Curve Equation t 76650bz1 [1,1,1,-1148188,472750781] 2 76650bz2 [1,1,1,-905188,678814781] 2
76650ca (1 curve)	0	2- 3+ 5+ 7- 73-	2- 3+ 5+ 7-  0  7  3 -6
Curve Equation t 76650ca1 [1,1,1,-38763,-4087719] 1
76650cb (1 curve)	0	2- 3+ 5+ 7- 73-	2- 3+ 5+ 7- -2 -3 -2  5
Curve Equation t 76650cb1 [1,1,1,15900926062,1275398688908531] 1
76650cc (1 curve)	0	2- 3+ 5+ 7- 73-	2- 3+ 5+ 7- -2  4  5  5
Curve Equation t 76650cc1 [1,1,1,-178938,-41262969] 1
76650cd (1 curve)	2	2- 3+ 5+ 7- 73-	2- 3+ 5+ 7- -2 -6 -5 -7
Curve Equation t Generators 76650cd1 [1,1,1,-777438,293109531] 1 [-275:-21913:1]&[-975:11687:1]
76650ce (4 curves)	0	2- 3+ 5+ 7- 73-	2- 3+ 5+ 7-  4 -2  2 -4
Curve Equation t 76650ce1 [1,1,1,-1063,40781] 4 76650ce2 [1,1,1,-25563,1559781] 4 76650ce3 [1,1,1,-34313,387281] 2 76650ce4 [1,1,1,-408813,100438281] 2
76650cf (2 curves)	1	2- 3+ 5- 7+ 73+	2- 3+ 5- 7+  4  2  2 -2
Curve Equation t Generators 76650cf1 [1,1,1,-1208,13781] 2 [110:-29:8] 76650cf2 [1,1,1,-4858,-117619] 2 [-11046:9277:216]
76650cg (1 curve)	1	2- 3+ 5- 7+ 73+	2- 3+ 5- 7+  4  2 -7 -5
Curve Equation t Generators 76650cg1 [1,1,1,-3388,-235219] 1 [735:19507:1]
76650ch (2 curves)	0	2- 3+ 5- 7+ 73-	2- 3+ 5- 7+  4 -2 -6  4
Curve Equation t 76650ch1 [1,1,1,8862,-8013969] 2 76650ch2 [1,1,1,-551138,-153613969] 2
76650ci (1 curve)	0	2- 3+ 5- 7+ 73-	2- 3+ 5- 7+ -5  5 -6  0
Curve Equation t 76650ci1 [1,1,1,-255763,-49892719] 1
76650cj (1 curve)	0	2- 3+ 5- 7- 73+	2- 3+ 5- 7-  4  1 -5 -2
Curve Equation t 76650cj1 [1,1,1,-6138,-303969] 1
76650ck (1 curve)	0	2- 3+ 5- 7- 73+	2- 3+ 5- 7- -5  4  2 -4
Curve Equation t 76650ck1 [1,1,1,-5939063,-5600580019] 1
76650cl (1 curve)	1	2- 3+ 5- 7- 73-	2- 3+ 5- 7-  1 -4  7 -5
Curve Equation t Generators 76650cl1 [1,1,1,-8763,-328119] 1 [145:1142:1]
76650cm (1 curve)	1	2- 3+ 5- 7- 73-	2- 3+ 5- 7-  2 -5 -5  6
Curve Equation t Generators 76650cm1 [1,1,1,77987,4628531] 1 [835:25132:1]
76650cn (1 curve)	1	2- 3+ 5- 7- 73-	2- 3+ 5- 7-  5  0  3 -5
Curve Equation t Generators 76650cn1 [1,1,1,-35963263,83037079781] 1 [3635:-20718:1]
76650co (2 curves)	1	2- 3- 5+ 7+ 73+	2- 3- 5+ 7+ -2 -4 -2 -8
Curve Equation t Generators 76650co1 [1,0,0,-100888,-11996608] 2 [-184:680:1] 76650co2 [1,0,0,-244888,29907392] 2 [872:-22336:1]
76650cp (1 curve)	1	2- 3- 5+ 7+ 73+	2- 3- 5+ 7+  4 -1 -2 -5
Curve Equation t Generators 76650cp1 [1,0,0,112,-108] 1 [126:537:8]
76650cq (4 curves)	1	2- 3- 5+ 7+ 73+	2- 3- 5+ 7+  4  2 -2  0
Curve Equation t Generators 76650cq1 [1,0,0,-1762688,-900907008] 2 [1732:34384:1] 76650cq2 [1,0,0,-1794688,-866507008] 4 [-808:7904:1] 76650cq3 [1,0,0,1635312,-3785437008] 2 [2622:134814:1] 76650cq4 [1,0,0,-5736688,4254150992] 2 [5762:400244:1]
76650cr (1 curve)	0	2- 3- 5+ 7+ 73-	2- 3- 5+ 7+ -2  5  2 -5
Curve Equation t 76650cr1 [1,0,0,5412,435792] 1
76650cs (1 curve)	0	2- 3- 5+ 7+ 73-	2- 3- 5+ 7+ -5  6 -4  6
Curve Equation t 76650cs1 [1,0,0,1085612,-12428330608] 1
76650ct (1 curve)	0	2- 3- 5+ 7- 73+	2- 3- 5+ 7- -3  5 -2 -4
Curve Equation t 76650ct1 [1,0,0,-59588,-5684208] 1
76650cu (1 curve)	0	2- 3- 5+ 7- 73+	2- 3- 5+ 7-  6  2  1  5
Curve Equation t 76650cu1 [1,0,0,-19979838,-39590715708] 1
76650cv (1 curve)	0	2- 3- 5+ 7- 73+	2- 3- 5+ 7- -6 -4  1 -1
Curve Equation t 76650cv1 [1,0,0,437,-3883] 1
76650cw (1 curve)	1	2- 3- 5+ 7- 73-	2- 3- 5+ 7-  1 -2  4 -6
Curve Equation t Generators 76650cw1 [1,0,0,-938,11172] 1 [28:70:1]
76650cx (1 curve)	1	2- 3- 5+ 7- 73-	2- 3- 5+ 7- -2  0  3 -1
Curve Equation t Generators 76650cx1 [1,0,0,-2063088,1140417792] 1 [72:31464:1]
76650cy (1 curve)	1	2- 3- 5+ 7- 73-	2- 3- 5+ 7-  4 -3  6 -1
Curve Equation t Generators 76650cy1 [1,0,0,898602362,36840910753892] 1 [578732:440609834:1]
76650cz (2 curves)	1	2- 3- 5+ 7- 73-	2- 3- 5+ 7-  6  2 -4 -8
Curve Equation t Generators 76650cz1 [1,0,0,-918813,-330034383] 2 [2442:-110721:1] 76650cz2 [1,0,0,249187,-1111426383] 2 [2362:-113681:1]
76650da (2 curves)	1	2- 3- 5+ 7- 73-	2- 3- 5+ 7- -6  2 -4  4
Curve Equation t Generators 76650da1 [1,0,0,-1763,28017] 2 [16:55:1] 76650da2 [1,0,0,-263,74517] 2 [66:555:1]
76650db (2 curves)	0	2- 3- 5- 7+ 73+	2- 3- 5- 7+  0 -6 -2  6
Curve Equation t 76650db1 [1,0,0,-10513,-91483] 2 76650db2 [1,0,0,-101763,12409767] 2
76650dc (1 curve)	0	2- 3- 5- 7+ 73+	2- 3- 5- 7+  1  0 -3  1
Curve Equation t 76650dc1 [1,0,0,-98013,-12463983] 1
76650dd (1 curve)	0	2- 3- 5- 7+ 73+	2- 3- 5- 7+  3  0  6  2
Curve Equation t 76650dd1 [1,0,0,-13388,599892] 1
76650de (1 curve)	0	2- 3- 5- 7+ 73+	2- 3- 5- 7+  3  1 -2  0
Curve Equation t 76650de1 [1,0,0,23612,-2325358] 1
76650df (1 curve)	0	2- 3- 5- 7+ 73+	2- 3- 5- 7+  3  6  3 -3
Curve Equation t 76650df1 [1,0,0,112,942] 1
76650dg (1 curve)	0	2- 3- 5- 7+ 73+	2- 3- 5- 7+  3  6  3  5
Curve Equation t 76650dg1 [1,0,0,99862,-45654108] 1
76650dh (1 curve)	0	2- 3- 5- 7+ 73+	2- 3- 5- 7+ -3 -4  1  1
Curve Equation t 76650dh1 [1,0,0,-1095037888,13947263020142] 1
76650di (1 curve)	0	2- 3- 5- 7+ 73+	2- 3- 5- 7+ -3 -4 -6 -6
Curve Equation t 76650di1 [1,0,0,-9522013,-11424275983] 1
76650dj (2 curves)	0	2- 3- 5- 7+ 73+	2- 3- 5- 7+ -4 -6 -2  0
Curve Equation t 76650dj1 [1,0,0,-7489910138,249836775185892] 2 76650dj2 [1,0,0,-119884150138,15976825595665892] 2
76650dk (1 curve)	0	2- 3- 5- 7+ 73+	2- 3- 5- 7+  5  4 -7  1
Curve Equation t 76650dk1 [1,0,0,-758136138,-36653599782108] 1
76650dl (1 curve)	1	2- 3- 5- 7- 73+	2- 3- 5- 7-  0  4 -3 -5
Curve Equation t Generators 76650dl1 [1,0,0,16492,-1667568] 1 [112:1204:1]
76650dm (1 curve)	0	2- 3- 5- 7- 73-	2- 3- 5- 7- -1  0  3  1
Curve Equation t 76650dm1 [1,0,0,862,-6108] 1
76650dn (2 curves)	0	2- 3- 5- 7- 73-	2- 3- 5- 7-  3 -4  3  5
Curve Equation t 76650dn1 [1,0,0,-238,2492] 3 76650dn2 [1,0,0,2012,-47458] 1

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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