Cremona's table of elliptic curves

425 = 5² · 17

Class	r	Atkin-Lehner	Eigenvalues
425a (4 curves)	1	5+ 17+	1  0 5+ -4  0  2 17+ -4
Curve Equation t Generators 425a1 [1,-1,0,-17,16] 2 [0:4:1] 425a2 [1,-1,0,-142,-609] 4 [94:853:1] 425a3 [1,-1,0,-2267,-40984] 2 [6356:50597:64] 425a4 [1,-1,0,-17,-1734] 2 [14:18:1]
425c (1 curve)	1	5+ 17+	-1  1 5+ -1 -4  1 17+ -6
Curve Equation t Generators 425c1 [1,0,0,-3,2] 1 [1:0:1]
425d (2 curves)	1	5+ 17+	-1 -2 5+  2  2 -2 17+  0
Curve Equation t Generators 425d1 [1,0,0,-213,-1208] 2 [-9:5:1] 425d2 [1,0,0,-88,-2583] 2 [37:194:1]
425b (1 curve)	1	5- 17-	1 -1 5-  1 -4 -1 17- -6
Curve Equation t Generators 425b1 [1,1,0,-75,250] 1 [10:20:1]

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

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