Cremona's table of elliptic curves

32368 = 2⁴ · 7 · 17²

Class	r	Atkin-Lehner	Eigenvalues
32368a (4 curves)	1	2+ 7+ 17+	2+  0 -2 7+ -4  2 17+ -8
Curve Equation t Generators 32368a1 [0,0,0,289,-9826] 2 [1227:8416:27] 32368a2 [0,0,0,-5491,-147390] 4 [-43:96:1] 32368a3 [0,0,0,-17051,677994] 2 [119:578:1] 32368a4 [0,0,0,-86411,-9776870] 2 [9282:28900:27]
32368b (1 curve)	1	2+ 7+ 17+	2+ -2  2 7+  0 -4 17+  6
Curve Equation t Generators 32368b1 [0,1,0,-232,1287] 1 [9:3:1]
32368c (2 curves)	1	2+ 7+ 17+	2+ -2  2 7+  2 -2 17+ -4
Curve Equation t Generators 32368c1 [0,1,0,-232,-1212] 2 [-8:14:1] 32368c2 [0,1,0,448,-6380] 2 [28:170:1]
32368d (2 curves)	0	2+ 7- 17+	2+  2 -2 7- -2 -2 17+ -4
Curve Equation t 32368d1 [0,-1,0,-67144,-5551872] 2 32368d2 [0,-1,0,129376,-32121376] 2
32368e (2 curves)	0	2+ 7- 17+	2+  2  4 7-  0  0 17+  2
Curve Equation t 32368e1 [0,-1,0,-96,20048] 2 32368e2 [0,-1,0,-11656,482448] 2
32368f (1 curve)	1	2+ 7- 17-	2+  2 -2 7-  0 -4 17-  6
Curve Equation t Generators 32368f1 [0,-1,0,-67144,6725715] 1 [87:1239:1]
32368g (2 curves)	0	2- 7+ 17+	2-  0  0 7+  0  2 17+  4
Curve Equation t 32368g1 [0,0,0,-12155,-487254] 2 32368g2 [0,0,0,9605,-2040918] 2
32368h (2 curves)	0	2- 7+ 17+	2-  0  2 7+ -2  0 17+  2
Curve Equation t 32368h1 [0,0,0,8381,-147390] 2 32368h2 [0,0,0,-37859,-1247902] 2
32368i (1 curve)	0	2- 7+ 17+	2-  0 -4 7+  4  0 17+  2
Curve Equation t 32368i1 [0,0,0,-17,-425] 1
32368j (1 curve)	0	2- 7+ 17+	2- -1  0 7+  4 -2 17+  3
Curve Equation t 32368j1 [0,-1,0,-3088,56768] 1
32368k (2 curves)	0	2- 7+ 17+	2-  2  0 7+ -2 -2 17+  0
Curve Equation t 32368k1 [0,-1,0,-83328,9244928] 2 32368k2 [0,-1,0,-129568,-2111616] 2
32368l (1 curve)	0	2- 7+ 17+	2-  3 -4 7+  0 -2 17+  7
Curve Equation t 32368l1 [0,0,0,-187,170] 1
32368m (1 curve)	0	2- 7+ 17+	2- -3  2 7+ -2 -6 17+ -7
Curve Equation t 32368m1 [0,0,0,-1586899,-746844782] 1
32368n (1 curve)	1	2- 7+ 17-	2-  1 -2 7+ -2  2 17-  3
Curve Equation t Generators 32368n1 [0,1,0,-67144,-6141068] 1 [-966:3757:8]
32368o (1 curve)	1	2- 7+ 17-	2-  1 -2 7+  4 -4 17-  3
Curve Equation t Generators 32368o1 [0,1,0,-3564,-77848] 1 [79:374:1]
32368p (2 curves)	1	2- 7+ 17-	2- -1  0 7+ -6 -4 17-  1
Curve Equation t Generators 32368p1 [0,-1,0,-8188,-226180] 1 [193:2312:1] 32368p2 [0,-1,0,-204708,35697676] 1 [313:1480:1]
32368q (2 curves)	1	2- 7+ 17-	2- -1  3 7+  0  5 17-  4
Curve Equation t Generators 32368q1 [0,-1,0,-32464,-2241088] 1 [584:13328:1] 32368q2 [0,-1,0,13776,-7974848] 1 [71280:1700104:125]
32368r (1 curve)	1	2- 7+ 17-	2- -1 -4 7+  0 -2 17- -3
Curve Equation t Generators 32368r1 [0,-1,0,-5530400,5007751936] 1 [1349:-578:1]
32368s (1 curve)	1	2- 7+ 17-	2-  2  2 7+  0  4 17- -6
Curve Equation t Generators 32368s1 [0,-1,0,1638,-34573] 1 [221191:361539:12167]
32368t (1 curve)	1	2- 7+ 17-	2-  3 -1 7+  0  1 17- -4
Curve Equation t Generators 32368t1 [0,0,0,-54043,6180554] 1 [-3057:88928:27]
32368u (1 curve)	1	2- 7+ 17-	2- -3  2 7+  0  4 17- -1
Curve Equation t Generators 32368u1 [0,0,0,-82061839,286127745178] 1 [98347370554006:-2362992439154:18799877179]
32368v (2 curves)	1	2- 7- 17+	2-  0  0 7-  0  2 17+  4
Curve Equation t Generators 32368v1 [0,0,0,-3512795,-2393878902] 2 [2831:101738:1] 32368v2 [0,0,0,2775845,-10027030134] 2 [198043165:8832829278:79507]
32368w (4 curves)	1	2- 7- 17+	2-  0 -2 7-  0 -2 17+ -4
Curve Equation t Generators 32368w1 [0,0,0,-86411,-9619654] 2 [-155:224:1] 32368w2 [0,0,0,-178891,14591610] 4 [423:3822:1] 32368w3 [0,0,0,607189,108135130] 4 [-92573:19952310:2197] 32368w4 [0,0,0,-2444651,1470568986] 2 [765:6936:1]
32368x (2 curves)	1	2- 7- 17+	2-  1  0 7-  6 -4 17+  1
Curve Equation t Generators 32368x1 [0,1,0,-28,-56] 1 [27:140:1] 32368x2 [0,1,0,-708,7016] 1 [19:28:1]
32368y (2 curves)	1	2- 7- 17+	2-  1 -3 7-  0  5 17+  4
Curve Equation t Generators 32368y1 [0,1,0,-9382192,-11066758316] 1 [11657802:653881424:2197] 32368y2 [0,1,0,3981168,-39156541036] 1 [10858:1133272:1]
32368z (1 curve)	1	2- 7- 17+	2-  1  4 7-  0 -2 17+ -3
Curve Equation t Generators 32368z1 [0,1,0,-19136,1012532] 1 [634:35:8]
32368ba (1 curve)	1	2- 7- 17+	2- -1  2 7-  2  2 17+  3
Curve Equation t Generators 32368ba1 [0,-1,0,-232,-1168] 1 [-7:8:1]
32368bb (1 curve)	1	2- 7- 17+	2- -1  2 7- -4 -4 17+  3
Curve Equation t Generators 32368bb1 [0,-1,0,-1030092,-376286852] 1 [1221:13594:1]
32368bc (2 curves)	1	2- 7- 17+	2-  2 -4 7- -4 -4 17+  6
Curve Equation t Generators 32368bc1 [0,-1,0,145560,4098416] 2 [787539303:27798007742:5000211] 32368bc2 [0,-1,0,-594280,33692016] 2 [7952070:205962786:6859]
32368bd (6 curves)	1	2- 7- 17+	2- -2  0 7-  0 -4 17+ -2
Curve Equation t Generators 32368bd1 [0,1,0,-2408,-92876] 2 [862:25280:1] 32368bd2 [0,1,0,-48648,-4143500] 2 [300:2890:1] 32368bd3 [0,1,0,20712,1932436] 2 [54:1792:1] 32368bd4 [0,1,0,-164248,20946324] 2 [28:4046:1] 32368bd5 [0,1,0,-788488,270004212] 2 [14781:44506:27] 32368bd6 [0,1,0,-12625928,17263833076] 2 [2204:12138:1]
32368be (1 curve)	1	2- 7- 17+	2- -2 -2 7-  0  4 17+ -6
Curve Equation t Generators 32368be1 [0,1,0,6,-5] 1 [3:7:1]
32368bf (2 curves)	1	2- 7- 17+	2- -2  4 7- -6 -2 17+  0
Curve Equation t Generators 32368bf1 [0,1,0,-277536,-6695948] 2 [588:5810:1] 32368bf2 [0,1,0,-3236896,-2238053388] 2 [49498:11005120:1]
32368bg (1 curve)	1	2- 7- 17+	2-  3 -2 7-  0  4 17+ -1
Curve Equation t Generators 32368bg1 [0,0,0,-283951,58238906] 1 [8310:98:27]
32368bh (1 curve)	1	2- 7- 17+	2- -3  1 7-  0  1 17+ -4
Curve Equation t Generators 32368bh1 [0,0,0,-187,1258] 1 [13:32:1]
32368bi (1 curve)	0	2- 7- 17-	2-  0  4 7- -4  0 17-  2
Curve Equation t 32368bi1 [0,0,0,-4913,-2088025] 1
32368bj (1 curve)	0	2- 7- 17-	2-  1  0 7- -4 -2 17-  3
Curve Equation t 32368bj1 [0,1,0,-892528,273546196] 1
32368bk (1 curve)	0	2- 7- 17-	2-  3 -2 7-  2 -6 17- -7
Curve Equation t 32368bk1 [0,0,0,-5491,-152014] 1
32368bl (1 curve)	0	2- 7- 17-	2- -3  4 7-  0 -2 17-  7
Curve Equation t 32368bl1 [0,0,0,-54043,835210] 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
Back to Tables and computations