Cremona's table of elliptic curves

1240 = 2³ · 5 · 31

Class	r	Atkin-Lehner	Eigenvalues
1240a (1 curve)	0	2+ 5+ 31-	2+ -1 5+  0  0 -2  3  1
Curve Equation t 1240a1 [0,-1,0,-7201,-234715] 1
1240b (2 curves)	0	2+ 5+ 31-	2+  2 5+  0  0  4  0  4
Curve Equation t 1240b1 [0,-1,0,4,20] 2 1240b2 [0,-1,0,-96,380] 2
1240c (1 curve)	0	2+ 5- 31+	2+  3 5-  2 -2 -2 -1  1
Curve Equation t 1240c1 [0,0,0,-38452,-2902204] 1
1240d (2 curves)	0	2- 5+ 31+	2-  2 5+ -4  4  4  4  4
Curve Equation t 1240d1 [0,-1,0,-31,0] 2 1240d2 [0,-1,0,124,-124] 2
1240e (2 curves)	1	2- 5+ 31-	2-  0 5+  0  2  2  0 -8
Curve Equation t Generators 1240e1 [0,0,0,-323,2478] 2 [11:16:1] 1240e2 [0,0,0,-5323,149478] 2 [-82:186:1]
1240f (1 curve)	1	2- 5- 31+	2- -1 5-  2 -2 -2 -5  1
Curve Equation t Generators 1240f1 [0,-1,0,-25,77] 1 [-1:10:1]
1240g (4 curves)	0	2- 5- 31-	2-  0 5-  0 -4  2  6  4
Curve Equation t 1240g1 [0,0,0,-362,-1659] 4 1240g2 [0,0,0,-5167,-142926] 4 1240g3 [0,0,0,-82667,-9148426] 2 1240g4 [0,0,0,-4547,-178514] 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