Cremona's table of elliptic curves

6565 = 5 · 13 · 101

Class	r	Atkin-Lehner	Eigenvalues
6565a (2 curves)	1	5+ 13+ 101+	1 -2 5+  4 -4 13+  2  2
Curve Equation t Generators 6565a1 [1,0,1,-684,6821] 2 [19:18:1] 6565a2 [1,0,1,-679,6927] 2 [-5:103:1]
6565b (1 curve)	1	5+ 13+ 101+	-1  1 5+  2 -4 13+ -1  3
Curve Equation t Generators 6565b1 [1,0,0,394,3245] 1 [-7:16:1]
6565c (2 curves)	0	5+ 13- 101+	1  0 5+  0  4 13- -6  6
Curve Equation t 6565c1 [1,-1,0,-143000,-20778125] 2 6565c2 [1,-1,0,-142495,-20932554] 2
6565d (2 curves)	2	5- 13+ 101+	-1 -2 5-  0 -2 13+ -6 -8
Curve Equation t Generators 6565d1 [1,0,0,-880,9927] 2 [9:48:1]&[14:13:1] 6565d2 [1,0,0,-1385,-2900] 2 [-33:101:1]&[45:-185:1]

Data from Elliptic Curve Data by J. E. Cremona.
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