Cremona's table of elliptic curves

475 = 5² · 19

Class	r	Atkin-Lehner	Eigenvalues
475a (3 curves)	0	5+ 19-	0  2 5+  1  3  4  3 19-
Curve Equation t 475a1 [0,-1,1,17,-7] 1 475a2 [0,-1,1,-233,-1382] 1 475a3 [0,-1,1,-19233,-1020257] 1
475b (2 curves)	1	5- 19-	1  0 5- -2 -4  2 -4 19-
Curve Equation t Generators 475b1 [1,-1,0,8,291] 2 [10:31:1] 475b2 [1,-1,0,-617,5916] 2 [8:34:1]
475c (2 curves)	1	5- 19-	-1  0 5-  2 -4 -2  4 19-
Curve Equation t Generators 475c1 [1,-1,1,0,2] 2 [0:1:1] 475c2 [1,-1,1,-25,52] 2 [-2:10:1]

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

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