Cremona's table of elliptic curves

1586 = 2 · 13 · 61

Class	r	Atkin-Lehner	Eigenvalues
1586a (1 curve)	1	2+ 13+ 61+	2+ -1  3  1  2 13+ -5 -4
Curve Equation t Generators 1586a1 [1,1,0,-111,613] 1 [-3:32:1]
1586b (1 curve)	0	2+ 13+ 61-	2+  3  3 -3  2 13+ -5  8
Curve Equation t 1586b1 [1,-1,0,62,38] 1
1586c (2 curves)	0	2- 13+ 61+	2-  0  2  4  4 13+ -6  6
Curve Equation t 1586c1 [1,-1,1,-61389,5869685] 2 1586c2 [1,-1,1,-60109,6125173] 2
1586d (2 curves)	0	2- 13- 61-	2- -1  1  3  2 13-  3  0
Curve Equation t 1586d1 [1,1,1,16005,10336393] 5 1586d2 [1,1,1,-3492955,-2647300407] 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