Cremona's table of elliptic curves

560 = 2⁴ · 5 · 7

Class	r	Atkin-Lehner	Eigenvalues
560a (1 curve)	0	2+ 5+ 7-	2+  1 5+ 7-  5  1  3  6
Curve Equation t 560a1 [0,1,0,-1,-5] 1
560b (1 curve)	0	2+ 5- 7+	2+  3 5- 7+  5 -5 -7  2
Curve Equation t 560b1 [0,0,0,-412,-3316] 1
560c (3 curves)	0	2- 5+ 7+	2- -1 5+ 7+  3  5  3 -2
Curve Equation t 560c1 [0,-1,0,-21,-35] 1 560c2 [0,-1,0,139,61] 1 560c3 [0,-1,0,-2101,39485] 1
560d (4 curves)	1	2- 5+ 7-	2-  0 5+ 7- -4 -6  2  0
Curve Equation t Generators 560d1 [0,0,0,37,138] 2 [-1:10:1] 560d2 [0,0,0,-283,1482] 4 [-3:48:1] 560d3 [0,0,0,-1403,-18902] 2 [-17:6:1] 560d4 [0,0,0,-4283,107882] 4 [-11:392:1]
560e (1 curve)	1	2- 5+ 7-	2- -3 5+ 7-  5 -3 -1 -6
Curve Equation t Generators 560e1 [0,0,0,32,-212] 1 [6:14:1]
560f (2 curves)	1	2- 5- 7+	2- -1 5- 7+ -3 -1 -3 -2
Curve Equation t Generators 560f1 [0,-1,0,-5,25] 1 [5:-10:1] 560f2 [0,-1,0,-805,9065] 1 [17:-2:1]

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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