Cremona's table of elliptic curves

8510 = 2 · 5 · 23 · 37

Class	r	Atkin-Lehner	Eigenvalues
8510a (1 curve)	1	2+ 5+ 23+ 37+	2+  0 5+ -3  5 -4  1  2
Curve Equation t Generators 8510a1 [1,-1,0,-1580,27066] 1 [335:5916:1]
8510b (1 curve)	0	2+ 5+ 23+ 37-	2+ -1 5+ -4  3  6  6  2
Curve Equation t 8510b1 [1,1,0,-53,-173] 1
8510c (1 curve)	0	2+ 5+ 23+ 37-	2+  3 5+  4  3  6 -2  2
Curve Equation t 8510c1 [1,-1,0,-143530,21103220] 1
8510d (1 curve)	1	2- 5+ 23+ 37-	2-  0 5+ -5  1  4 -1  6
Curve Equation t Generators 8510d1 [1,-1,1,92,231] 1 [3:21:1]
8510e (2 curves)	1	2- 5+ 23- 37+	2-  2 5+ -2 -4  2  2  0
Curve Equation t Generators 8510e1 [1,1,1,-81,203] 2 [6:89:8] 8510e2 [1,1,1,149,1399] 2 [4578:23747:216]
8510f (2 curves)	0	2- 5+ 23- 37-	2-  1 5+ -4 -3  2  6  2
Curve Equation t 8510f1 [1,0,0,594,6020] 3 8510f2 [1,0,0,-5846,-268324] 1
8510g (2 curves)	0	2- 5- 23+ 37-	2-  0 5-  4  0  2 -6  6
Curve Equation t 8510g1 [1,-1,1,-112,-401] 2 8510g2 [1,-1,1,-342,1991] 2
8510h (4 curves)	0	2- 5- 23+ 37-	2-  0 5-  4  4 -2  2  0
Curve Equation t 8510h1 [1,-1,1,-72817,5751841] 4 8510h2 [1,-1,1,-400497,-92683231] 4 8510h3 [1,-1,1,-6320497,-6114507231] 2 8510h4 [1,-1,1,276623,-374635999] 4

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

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