Cremona's table of elliptic curves

8075 = 5² · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
8075a (1 curve)	1	5+ 17+ 19+	2 -1 5+  2  2  2 17+ 19+
Curve Equation t Generators 8075a1 [0,-1,1,-8,543] 1 [-54:121:8]
8075b (1 curve)	0	5+ 17+ 19-	1 -1 5+  4 -6 -4 17+ 19-
Curve Equation t 8075b1 [1,1,0,-85,-340] 1
8075c (2 curves)	0	5+ 17- 19+	1  2 5+  4 -4  6 17- 19+
Curve Equation t 8075c1 [1,1,0,-5375,149000] 2 8075c2 [1,1,0,-3000,284375] 2
8075d (2 curves)	0	5+ 17- 19+	-2 -1 5+ -2  2 -6 17- 19+
Curve Equation t 8075d1 [0,-1,1,-3048,65808] 5 8075d2 [0,-1,1,18542,-90932] 1
8075e (1 curve)	1	5+ 17- 19-	0  1 5+ -4 -2  2 17- 19-
Curve Equation t Generators 8075e1 [0,1,1,-7633,-267981] 1 [3363:194987:1]
8075f (1 curve)	1	5+ 17- 19-	0 -3 5+ -4 -2 -6 17- 19-
Curve Equation t Generators 8075f1 [0,0,1,-1150,34656] 1 [-10:212:1]
8075g (2 curves)	0	5- 17+ 19+	2  1 5-  2  2  6 17+ 19+
Curve Equation t 8075g1 [0,1,1,742,-431] 1 8075g2 [0,1,1,-76208,8073619] 1
8075h (1 curve)	0	5- 17- 19-	-1  1 5- -4 -6  4 17- 19-
Curve Equation t 8075h1 [1,0,0,-2138,-38233] 1

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

Part of Computational Number Theory
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