Cremona's table of elliptic curves

13685 = 5 · 7 · 17 · 23

Class	r	Atkin-Lehner	Eigenvalues
13685a (4 curves)	0	5+ 7+ 17+ 23-	-1  0 5+ 7+ -4 -2 17+  4
Curve Equation t 13685a1 [1,-1,1,19637,-9459558] 2 13685a2 [1,-1,1,-568608,-158167894] 4 13685a3 [1,-1,1,-8994403,-10380342388] 2 13685a4 [1,-1,1,-1554733,539614156] 2
13685b (2 curves)	0	5+ 7+ 17- 23+	1  2 5+ 7+  0  2 17- -8
Curve Equation t 13685b1 [1,1,0,-3,32] 2 13685b2 [1,1,0,-178,837] 2
13685c (2 curves)	1	5+ 7+ 17- 23-	-1  0 5+ 7+  2  4 17-  4
Curve Equation t Generators 13685c1 [1,-1,1,-8353,-272344] 2 [-48:151:1] 13685c2 [1,-1,1,-131178,-18253924] 2 [-5631:2972:27]
13685d (4 curves)	0	5+ 7- 17+ 23+	-1  0 5+ 7-  0  2 17+ -4
Curve Equation t 13685d1 [1,-1,1,-6178,94456] 2 13685d2 [1,-1,1,-84303,9438206] 4 13685d3 [1,-1,1,-1348678,603188706] 2 13685d4 [1,-1,1,-69928,12750206] 2
13685e (2 curves)	1	5- 7- 17+ 23+	-1  0 5- 7-  6 -4 17+ -4
Curve Equation t Generators 13685e1 [1,-1,1,-712,-7014] 2 [-14:14:1] 13685e2 [1,-1,1,-11337,-461764] 2 [301:4679:1]

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

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