Cremona's table of elliptic curves

15686 = 2 · 11 · 23 · 31

Class	r	Atkin-Lehner	Eigenvalues
15686a (1 curve)	1	2+ 11+ 23+ 31+	2+  3 -4 -1 11+ -2  3  4
Curve Equation t Generators 15686a1 [1,-1,0,27221,1643909] 1 [210:36679:27]
15686b (1 curve)	0	2+ 11+ 23+ 31-	2+  1  1 -1 11+  6 -6  0
Curve Equation t 15686b1 [1,0,1,-128,248620] 1
15686c (1 curve)	1	2+ 11+ 23- 31-	2+  1 -4 -3 11+ -2  7 -4
Curve Equation t Generators 15686c1 [1,0,1,-31925513,69428733772] 1 [147643:56616130:1]
15686d (4 curves)	1	2+ 11+ 23- 31-	2+ -2  0  2 11+  2  6  8
Curve Equation t Generators 15686d1 [1,0,1,-7851,267074] 6 [2789:145828:1] 15686d2 [1,0,1,-7741,274950] 6 [394380:8057195:21952] 15686d3 [1,0,1,-10726,53496] 2 [133:925:1] 15686d4 [1,0,1,42514,436824] 2 [5622:152619:8]
15686e (1 curve)	0	2- 11+ 23- 31-	2-  1 -1  3 11+ -2 -2  8
Curve Equation t 15686e1 [1,0,0,49,17] 1
15686f (1 curve)	0	2- 11+ 23- 31-	2-  3  1  1 11+  6  2  0
Curve Equation t 15686f1 [1,-1,1,-27,-47] 1
15686g (1 curve)	1	2- 11- 23+ 31+	2- -1  2 -1 11- -4  5  4
Curve Equation t Generators 15686g1 [1,1,1,-12,109] 1 [-1:11:1]

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