Cremona's table of elliptic curves

64525 = 5² · 29 · 89

Class	r	Atkin-Lehner	Eigenvalues
64525a (1 curve)	1	5+ 29+ 89+	1  1 5+ -2 -5  1 -6  4
Curve Equation t Generators 64525a1 [1,0,1,2474,69073] 1 [1733:71312:1]
64525b (2 curves)	2	5+ 29- 89+	1  0 5+  0 -4  4 -6 -2
Curve Equation t Generators 64525b1 [1,-1,0,-38942,2967591] 2 [98:243:1]&[910:-397:8] 64525b2 [1,-1,0,-38317,3066966] 2 [-46:2198:1]&[4910:113603:8]
64525c (2 curves)	0	5- 29+ 89+	1  2 5- -4  4 -2  6 -4
Curve Equation t 64525c1 [1,1,0,-270,-1825] 2 64525c2 [1,1,0,-295,-1500] 2
64525d (2 curves)	0	5- 29+ 89+	-1 -2 5-  4  4  2 -6 -4
Curve Equation t 64525d1 [1,0,0,-6763,-214608] 2 64525d2 [1,0,0,-7388,-172733] 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
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