Cremona's table of elliptic curves

10075 = 5² · 13 · 31

Class	r	Atkin-Lehner	Eigenvalues
10075a (2 curves)	2	5+ 13+ 31-	0 -1 5+ -2  0 13+ -3 -7
Curve Equation t Generators 10075a1 [0,-1,1,-783,31593] 1 [7:162:1]&[33:201:1] 10075a2 [0,-1,1,6967,-793782] 1 [108:1098:1]&[152:1937:1]
10075b (2 curves)	0	5+ 13+ 31-	0  2 5+ -2 -3 13+  0 -4
Curve Equation t 10075b1 [0,-1,1,-3,-62] 1 10075b2 [0,-1,1,-1303,-17677] 1
10075c (2 curves)	0	5+ 13+ 31-	0  2 5+  4  3 13+  0  2
Curve Equation t 10075c1 [0,-1,1,967,-15032] 1 10075c2 [0,-1,1,-30033,-2002907] 1
10075d (1 curve)	0	5+ 13- 31+	2  3 5+  4 -6 13-  1  1
Curve Equation t 10075d1 [0,0,1,-3175,69031] 1
10075e (1 curve)	0	5- 13+ 31+	2 -1 5- -2 -4 13+ -3  1
Curve Equation t 10075e1 [0,-1,1,-1958,-33057] 1
10075f (1 curve)	1	5- 13+ 31-	0 -3 5- -2  2 13+ -5  1
Curve Equation t Generators 10075f1 [0,0,1,-1720,27456] 1 [20:32:1]
10075g (1 curve)	1	5- 13- 31+	-2  1 5-  2 -4 13-  3  1
Curve Equation t Generators 10075g1 [0,1,1,-78,-296] 1 [13:32:1]
10075h (2 curves)	0	5- 13- 31-	0 -2 5-  2 -3 13-  0 -4
Curve Equation t 10075h1 [0,1,1,-83,-7881] 3 10075h2 [0,1,1,-32583,-2274756] 1
10075i (1 curve)	0	5- 13- 31-	0  3 5-  2  2 13-  5  1
Curve Equation t 10075i1 [0,0,1,-43000,3432031] 1

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

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