Cremona's table of elliptic curves

52577 = 7² · 29 · 37

Class	r	Atkin-Lehner	Eigenvalues
52577a (1 curve)	1	7+ 29- 37-	-2 -2  3 7+ -2  1 -6  2
Curve Equation t Generators 52577a1 [0,1,1,-114,-66] 1 [-4:18:1]
52577b (2 curves)	0	7- 29+ 37+	-1  2  4 7- -4  0  2  4
Curve Equation t 52577b1 [1,1,1,-981,-11614] 2 52577b2 [1,1,1,734,-45914] 2
52577c (1 curve)	1	7- 29- 37+	0  0 -3 7-  5 -7  6  4
Curve Equation t Generators 52577c1 [0,0,1,-1274,19122] 1 [84:710:1]
52577d (1 curve)	1	7- 29- 37+	0  1  4 7- -3  6  0  4
Curve Equation t Generators 52577d1 [0,1,1,-2221,-40932] 1 [1698:69962:1]
52577e (1 curve)	1	7- 29- 37+	1 -1 -1 7-  1 -3  4  4
Curve Equation t Generators 52577e1 [1,1,0,16292,297809] 1 [6040:466547:1]
52577f (1 curve)	1	7- 29- 37+	1 -3  2 7-  1 -4 -3  0
Curve Equation t Generators 52577f1 [1,-1,0,-646,17065] 1 [128:1357:1]
52577g (2 curves)	2	7- 29- 37-	-1  0  0 7-  2  4 -6 -4
Curve Equation t Generators 52577g1 [1,-1,1,-1210,16048] 2 [-26:184:1]&[104:951:1] 52577g2 [1,-1,1,-2925,-38146] 2 [-38:149:1]&[-33:163:1]
52577h (1 curve)	0	7- 29- 37-	-2  2 -3 7- -2 -1  6 -2
Curve Equation t 52577h1 [0,-1,1,-5602,11360] 1

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

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