Cremona's table of elliptic curves

57536 = 2⁶ · 29 · 31

Class	r	Atkin-Lehner	Eigenvalues
57536a (1 curve)	1	2+ 29+ 31+	2+  0 -3 -4  2  4 -3  7
Curve Equation t Generators 57536a1 [0,0,0,-1964,-32976] 1 [-28:8:1]
57536b (1 curve)	1	2+ 29+ 31+	2+ -1 -2  5  3 -2 -3  2
Curve Equation t Generators 57536b1 [0,-1,0,-9,19] 1 [-2:5:1]
57536c (1 curve)	1	2+ 29+ 31+	2+ -2 -1 -2  0 -6 -5 -3
Curve Equation t Generators 57536c1 [0,1,0,-1036,-13182] 1 [-19:2:1]
57536d (1 curve)	1	2+ 29+ 31+	2+ -2 -1 -2  4 -2 -1 -7
Curve Equation t Generators 57536d1 [0,1,0,-41636,3238066] 1 [85:566:1]
57536e (1 curve)	1	2+ 29+ 31+	2+ -2 -1 -3 -4  0 -4  5
Curve Equation t Generators 57536e1 [0,1,0,-1,-249] 1 [10:29:1]
57536f (1 curve)	0	2+ 29+ 31-	2+  2 -1  2  0 -6 -5  3
Curve Equation t 57536f1 [0,-1,0,-1036,13182] 1
57536g (1 curve)	0	2+ 29+ 31-	2+  2 -1  2 -4 -2 -1  7
Curve Equation t 57536g1 [0,-1,0,-41636,-3238066] 1
57536h (1 curve)	0	2+ 29+ 31-	2+ -3 -2 -1  1 -2  1  6
Curve Equation t 57536h1 [0,0,0,-1696,157600] 1
57536i (4 curves)	0	2+ 29- 31+	2+  0  2 -4  0 -2 -2 -4
Curve Equation t 57536i1 [0,0,0,-1199,-15980] 2 57536i2 [0,0,0,-1204,-15840] 4 57536i3 [0,0,0,-44,-45072] 2 57536i4 [0,0,0,-2444,22352] 4
57536j (1 curve)	0	2+ 29- 31+	2+  2 -1  2  0 -2 -3  5
Curve Equation t 57536j1 [0,-1,0,-161,-223] 1
57536k (1 curve)	0	2+ 29- 31+	2+ -2  3 -2 -4  2  1 -7
Curve Equation t 57536k1 [0,1,0,-4497569,3669477823] 1
57536l (4 curves)	1	2+ 29- 31-	2+  0  2  4  0 -2 -2  4
Curve Equation t Generators 57536l1 [0,0,0,-1199,15980] 2 [406955640:774710:20346417] 57536l2 [0,0,0,-1204,15840] 4 [3060:169260:1] 57536l3 [0,0,0,-44,45072] 4 [181511616:10040585660:59319] 57536l4 [0,0,0,-2444,-22352] 2 [54:56:1]
57536m (1 curve)	1	2+ 29- 31-	2+  0 -3  0 -2  4  3  5
Curve Equation t Generators 57536m1 [0,0,0,-1004,5936] 1 [-8:116:1]
57536n (2 curves)	1	2+ 29- 31-	2+  2  3 -1  0  4  0 -5
Curve Equation t Generators 57536n1 [0,-1,0,-249,7937] 1 [-16:87:1] 57536n2 [0,-1,0,2231,-205839] 1 [587520:6511863:4913]
57536o (2 curves)	1	2+ 29- 31-	2+  2  3  2  0 -2 -3 -5
Curve Equation t Generators 57536o1 [0,-1,0,-13889,632897] 1 [5555:39816:125] 57536o2 [0,-1,0,-70209,-6626239] 1 [-145:696:1]
57536p (1 curve)	0	2- 29+ 31+	2-  0  3 -4  0  2  5  7
Curve Equation t 57536p1 [0,0,0,-11,8] 1
57536q (1 curve)	0	2- 29+ 31+	2-  3 -2  1 -1 -2  1 -6
Curve Equation t 57536q1 [0,0,0,-1696,-157600] 1
57536r (1 curve)	1	2- 29+ 31-	2-  0  3  4  0  2  5 -7
Curve Equation t Generators 57536r1 [0,0,0,-11,-8] 1 [-24:28:27]
57536s (1 curve)	1	2- 29+ 31-	2-  0 -3  4 -2  4 -3 -7
Curve Equation t Generators 57536s1 [0,0,0,-1964,32976] 1 [-22:256:1]
57536t (1 curve)	1	2- 29+ 31-	2-  1 -2 -5 -3 -2 -3 -2
Curve Equation t Generators 57536t1 [0,1,0,-9,-19] 1 [4:5:1]
57536u (1 curve)	1	2- 29+ 31-	2-  2 -1  3  4  0 -4 -5
Curve Equation t Generators 57536u1 [0,-1,0,-1,249] 1 [-96:377:27]
57536v (1 curve)	1	2- 29- 31+	2-  0 -3  0  2  4  3 -5
Curve Equation t Generators 57536v1 [0,0,0,-1004,-5936] 1 [66:-464:1]
57536w (2 curves)	1	2- 29- 31+	2- -2  3  1  0  4  0  5
Curve Equation t Generators 57536w1 [0,1,0,-249,-7937] 1 [6930:48691:125] 57536w2 [0,1,0,2231,205839] 1 [50:667:1]
57536x (2 curves)	1	2- 29- 31+	2- -2  3 -2  0 -2 -3  5
Curve Equation t Generators 57536x1 [0,1,0,-13889,-632897] 1 [-8205:2048:125] 57536x2 [0,1,0,-70209,6626239] 1 [-145:3712:1]
57536y (1 curve)	0	2- 29- 31-	2-  2  3  2  4  2  1  7
Curve Equation t 57536y1 [0,-1,0,-4497569,-3669477823] 1
57536z (1 curve)	2	2- 29- 31-	2- -2 -1 -2  0 -2 -3 -5
Curve Equation t Generators 57536z1 [0,1,0,-161,223] 1 [-11:28:1]&[-9:32:1]

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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