Cremona's table of elliptic curves

8585 = 5 · 17 · 101

Class	r	Atkin-Lehner	Eigenvalues
8585a (1 curve)	1	5+ 17+ 101+	0 -1 5+ -5 -3  3 17+  1
Curve Equation t Generators 8585a1 [0,-1,1,-331,2431] 1 [13:12:1]
8585b (1 curve)	2	5+ 17- 101+	-2 -3 5+ -3 -5 -1 17- -3
Curve Equation t Generators 8585b1 [0,0,1,-313,-1956] 1 [-12:8:1]&[-11:12:1]
8585c (2 curves)	1	5- 17- 101+	1 -2 5-  2 -6 -2 17-  4
Curve Equation t Generators 8585c1 [1,0,1,-43,33] 2 [9:15:1] 8585c2 [1,0,1,-548,4881] 2 [15:2:1]
8585d (4 curves)	0	5- 17- 101-	1  0 5-  4  4  6 17-  4
Curve Equation t 8585d1 [1,-1,0,-179,968] 2 8585d2 [1,-1,0,-184,915] 4 8585d3 [1,-1,0,-689,-5852] 2 8585d4 [1,-1,0,241,4230] 4

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

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