Cremona's table of elliptic curves

575 = 5² · 23

Class	r	Atkin-Lehner	Eigenvalues
575a (1 curve)	1	5+ 23+	1  0 5+ -1 -1 -1  0 -5
Curve Equation t Generators 575a1 [1,-1,0,-2,1] 1 [0:1:1]
575b (1 curve)	1	5+ 23+	-2  0 5+ -1  2  2 -3 -2
Curve Equation t Generators 575b1 [0,0,1,175,-1344] 1 [45:312:1]
575c (1 curve)	0	5- 23+	2  2 5-  1  0  2 -5  8
Curve Equation t 575c1 [0,-1,1,-458,3943] 1
575d (1 curve)	1	5- 23-	-1  0 5-  1 -1  1  0 -5
Curve Equation t Generators 575d1 [1,-1,1,-55,72] 1 [-6:15:1]
575e (1 curve)	1	5- 23-	-2 -2 5- -1  0 -2  5  8
Curve Equation t Generators 575e1 [0,1,1,-18,24] 1 [3:-3:1]

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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