Cremona's table of elliptic curves

2686 = 2 · 17 · 79

Class	r	Atkin-Lehner	Eigenvalues
2686a (2 curves)	0	2- 17+ 79+	2-  2  2  0  0  2 17+  8
Curve Equation t 2686a1 [1,1,1,-207,-15019] 2 2686a2 [1,1,1,-10447,-412331] 2
2686b (2 curves)	1	2- 17+ 79-	2-  0  0  0 -2 -2 17+  0
Curve Equation t Generators 2686b1 [1,-1,1,5355,-195091] 2 [63:592:1] 2686b2 [1,-1,1,-35605,-1948179] 2 [-81:672:1]
2686c (2 curves)	1	2- 17+ 79-	2-  1 -3  5 -6 -1 17+ -4
Curve Equation t Generators 2686c1 [1,0,0,-89132,10215824] 3 [158:210:1] 2686c2 [1,0,0,-398812,-87740384] 1 [-3805746:26040442:9261]
2686d (2 curves)	1	2- 17+ 79-	2-  2  0 -4 -2 -6 17+  4
Curve Equation t Generators 2686d1 [1,1,1,-2893,-51773] 2 [247:3668:1] 2686d2 [1,1,1,-13133,525763] 2 [-97:996:1]
2686e (1 curve)	1	2- 17- 79+	2-  1  1 -5  0  1 17- -6
Curve Equation t Generators 2686e1 [1,0,0,-85,289] 1 [0:17:1]

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

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