Cremona's table of elliptic curves

7952 = 2⁴ · 7 · 71

Class	r	Atkin-Lehner	Eigenvalues
7952a (2 curves)	0	2+ 7+ 71-	2+  2  0 7+  2 -2  2 -2
Curve Equation t 7952a1 [0,-1,0,-168,896] 2 7952a2 [0,-1,0,-208,480] 2
7952b (1 curve)	0	2- 7+ 71+	2-  1  0 7+ -1 -3 -2  4
Curve Equation t 7952b1 [0,1,0,392,1684] 1
7952c (2 curves)	0	2- 7+ 71+	2- -1  0 7+  3 -1 -6  4
Curve Equation t 7952c1 [0,-1,0,2632,-59024] 1 7952c2 [0,-1,0,-25768,2540144] 1
7952d (4 curves)	1	2- 7+ 71-	2-  0 -2 7+  4 -6  6  0
Curve Equation t Generators 7952d1 [0,0,0,-251,1066] 2 [15:26:1] 7952d2 [0,0,0,-1531,-22230] 4 [143:1638:1] 7952d3 [0,0,0,-24251,-1453590] 2 [64953:296010:343] 7952d4 [0,0,0,709,-81814] 4 [102231:1214486:729]
7952e (4 curves)	1	2- 7+ 71-	2-  2  0 7+  6  2 -6 -2
Curve Equation t Generators 7952e1 [0,-1,0,-10848,362240] 2 [164654:3523806:343] 7952e2 [0,-1,0,-51808,-4192512] 2 [257616:3380608:729] 7952e3 [0,-1,0,-835168,294049536] 2 [23664:413504:27] 7952e4 [0,-1,0,-835808,293576960] 2 [-416:23856:1]
7952f (2 curves)	1	2- 7+ 71-	2- -2 -2 7+ -4  0  0 -2
Curve Equation t Generators 7952f1 [0,1,0,-5944,185940] 2 [38:128:1] 7952f2 [0,1,0,-96824,11564116] 2 [-164:4802:1]
7952g (1 curve)	1	2- 7- 71+	2- -1  2 7-  5 -3  2  0
Curve Equation t Generators 7952g1 [0,-1,0,-12,28] 1 [1:4:1]
7952h (2 curves)	1	2- 7- 71+	2-  2  2 7- -4  0 -4 -6
Curve Equation t Generators 7952h1 [0,-1,0,4088,50928] 2 [276:4704:1] 7952h2 [0,-1,0,-18632,450800] 2 [-38:1050:1]
7952i (1 curve)	0	2- 7- 71-	2- -1  0 7-  5  5 -2 -4
Curve Equation t 7952i1 [0,-1,0,-8,-272] 1
7952j (2 curves)	0	2- 7- 71-	2-  2  4 7- -2  6 -2  6
Curve Equation t 7952j1 [0,-1,0,-176,-832] 2 7952j2 [0,-1,0,-336,1088] 2

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