Cremona's table of elliptic curves

87451 = 7 · 13 · 31²

Class	r	Atkin-Lehner	Eigenvalues
87451a (1 curve)	1	7+ 13- 31-	2  0  2 7+  3 13-  2 -8
Curve Equation t Generators 87451a1 [0,0,1,961,201089] 1 [975942:10952959:10648]
87451b (1 curve)	1	7+ 13- 31-	-2  0 -3 7+  6 13- -4  5
Curve Equation t Generators 87451b1 [0,0,1,961,-7448] 1 [28:203:1]
87451c (1 curve)	0	7- 13+ 31+	-2  0  3 7-  0 13+ -4  4
Curve Equation t 87451c1 [0,0,1,-327701,72265518] 1
87451d (3 curves)	1	7- 13+ 31-	0  2 -3 7-  0 13+  6 -7
Curve Equation t Generators 87451d1 [0,-1,1,-7047,-225773] 1 [7043357525395:-71287502691604:44776693151] 87451d2 [0,-1,1,12173,-1135840] 1 [1308:47443:1] 87451d3 [0,-1,1,-112757,35955877] 1 [-83:6688:1]
87451e (2 curves)	1	7- 13+ 31-	1  0 -2 7- -2 13+  6  8
Curve Equation t Generators 87451e1 [1,-1,0,35377,22357680] 2 [1664430:758361675:8] 87451e2 [1,-1,0,-1007308,373325451] 2 [68347858251390:31140929427685459:328509000]
87451f (2 curves)	0	7- 13- 31-	1  0  0 7-  0 13- -2  4
Curve Equation t 87451f1 [1,-1,0,-208717,36703488] 2 87451f2 [1,-1,0,-146252,59053465] 2
87451g (2 curves)	0	7- 13- 31-	1  0 -2 7-  2 13- -6  8
Curve Equation t 87451g1 [1,-1,0,37,-760] 2 87451g2 [1,-1,0,-1048,-12261] 2
87451h (1 curve)	0	7- 13- 31-	-2  0  3 7-  0 13-  4  4
Curve Equation t 87451h1 [0,0,1,-341,-2426] 1

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

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