Cremona's table of elliptic curves

1975 = 5² · 79

Class	r	Atkin-Lehner	Eigenvalues
1975a (4 curves)	1	5+ 79+	1  0 5+  4  4 -6 -6 -4
Curve Equation t Generators 1975a1 [1,-1,0,-167,1616] 2 [64:468:1] 1975a2 [1,-1,0,-3292,73491] 4 [4596:26577:64] 1975a3 [1,-1,0,-3917,44116] 2 [84:508:1] 1975a4 [1,-1,0,-52667,4665366] 4 [11152994:176402478:29791]
1975b (1 curve)	1	5+ 79+	1  1 5+  1 -2 -3  6  4
Curve Equation t Generators 1975b1 [1,0,1,-51,123] 1 [3:-1:1]
1975c (2 curves)	1	5+ 79+	1 -2 5+ -2  4  6  0  4
Curve Equation t Generators 1975c1 [1,0,1,-1001,-13977] 2 [8148:84719:64] 1975c2 [1,0,1,-16626,-826477] 2 [287:4106:1]
1975d (2 curves)	1	5+ 79+	2  1 5+ -3 -3 -4  2  0
Curve Equation t Generators 1975d1 [0,1,1,-1258,17019] 1 [234:621:8] 1975d2 [0,1,1,7492,-700481] 1 [1834:28971:8]
1975e (1 curve)	1	5- 79-	0  1 5-  1  1  0 -6  4
Curve Equation t Generators 1975e1 [0,1,1,-3,4] 1 [-2:2:1]
1975f (1 curve)	1	5- 79-	0 -1 5- -1  1  0  6  4
Curve Equation t Generators 1975f1 [0,-1,1,-83,693] 1 [17:62:1]

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

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