Cremona's table of elliptic curves

56615 = 5 · 13² · 67

Class	r	Atkin-Lehner	Eigenvalues
56615a (1 curve)	1	5+ 13+ 67+	0  0 5+  2  2 13+ -3  1
Curve Equation t Generators 56615a1 [0,0,1,-338,4943] 1 [-13:84:1]
56615b (2 curves)	1	5+ 13+ 67+	0 -2 5+  4  0 13+ -3  7
Curve Equation t Generators 56615b1 [0,1,1,-871251,312726405] 1 [537:-85:1] 56615b2 [0,1,1,-406501,644426930] 1 [1512:59065:1]
56615c (1 curve)	1	5+ 13+ 67+	-2 -1 5+  0 -3 13+ -6 -8
Curve Equation t Generators 56615c1 [0,-1,1,-56,6996] 1 [-4:84:1]
56615d (4 curves)	0	5- 13+ 67+	-1  0 5-  0  4 13+  2 -8
Curve Equation t 56615d1 [1,-1,1,1658,73116] 4 56615d2 [1,-1,1,-19467,943466] 4 56615d3 [1,-1,1,-74392,-6789974] 2 56615d4 [1,-1,1,-302542,64125806] 2
56615e (1 curve)	0	5- 13+ 67+	2  0 5-  0 -2 13+ -1  7
Curve Equation t 56615e1 [0,0,1,-54313727,-154277210565] 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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