Cremona's table of elliptic curves

175 = 5² · 7

Class	r	Atkin-Lehner	Eigenvalues
175b (3 curves)	1	5+ 7+	0 -1 5+ 7+ -3 -5 -3  2
Curve Equation t Generators 175b1 [0,-1,1,-33,93] 1 [-3:12:1] 175b2 [0,-1,1,217,-282] 1 [12:62:1] 175b3 [0,-1,1,-3283,-74657] 1 [397:7812:1]
175c (2 curves)	0	5- 7+	2  1 5- 7+ -3  1  7  0
Curve Equation t 175c1 [0,1,1,42,-131] 1 175c2 [0,1,1,-3708,86119] 1
175a (2 curves)	1	5- 7-	-2 -1 5- 7- -3 -1 -7  0
Curve Equation t Generators 175a1 [0,-1,1,2,-2] 1 [2:2:1] 175a2 [0,-1,1,-148,748] 5 [-13:17:1]

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

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