Cremona's table of elliptic curves

658 = 2 · 7 · 47

Class	r	Atkin-Lehner	Eigenvalues
658a (1 curve)	0	2+ 7+ 47-	2+ -1 -1 7+  1  2  0 -2
Curve Equation t 658a1 [1,1,0,-117008,18214144] 1
658b (2 curves)	0	2+ 7+ 47-	2+  2  2 7+ -2  2  6  4
Curve Equation t 658b1 [1,1,0,-9,5] 2 658b2 [1,1,0,-49,-147] 2
658c (2 curves)	0	2+ 7- 47+	2+  1  3 7-  3  2  0  2
Curve Equation t 658c1 [1,0,1,3,12] 3 658c2 [1,0,1,-32,-338] 1
658d (1 curve)	1	2- 7+ 47-	2- -1 -1 7+ -5  2 -6  4
Curve Equation t Generators 658d1 [1,1,1,24,-23] 1 [5:13:1]
658e (2 curves)	1	2- 7- 47+	2-  0 -4 7- -2  0 -2 -6
Curve Equation t Generators 658e1 [1,-1,1,1668,19775] 2 [5:165:1] 658e2 [1,-1,1,-8572,183615] 2 [-63:717:1]
658f (1 curve)	1	2- 7- 47+	2- -3 -1 7-  1 -6 -2  0
Curve Equation t Generators 658f1 [1,-1,1,-18,33] 1 [3:-3:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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