Cremona's table of elliptic curves

11685 = 3 · 5 · 19 · 41

Class	r	Atkin-Lehner	Eigenvalues
11685a (1 curve)	0	3+ 5+ 19+ 41-	1 3+ 5+  4  4  2 -4 19+
Curve Equation t 11685a1 [1,1,0,247,9582] 1
11685b (2 curves)	0	3+ 5+ 19- 41+	1 3+ 5+  0  4  4  0 19-
Curve Equation t 11685b1 [1,1,0,-253,1432] 2 11685b2 [1,1,0,-48,3933] 2
11685c (2 curves)	1	3- 5+ 19- 41+	0 3- 5+ -4 -3  2 -3 19-
Curve Equation t Generators 11685c1 [0,1,1,-37621,-3188339] 3 [227:142:1] 11685c2 [0,1,1,-3156661,-2159741330] 1 [16522:92621:8]
11685d (4 curves)	1	3- 5- 19+ 41+	1 3- 5-  0  0 -6  6 19+
Curve Equation t Generators 11685d1 [1,0,1,-828,181] 2 [35:102:1] 11685d2 [1,0,1,-9233,339743] 4 [69:145:1] 11685d3 [1,0,1,-147608,21815543] 2 [1782:-685:8] 11685d4 [1,0,1,-5338,629531] 2 [-5:812:1]
11685e (1 curve)	0	3- 5- 19+ 41-	1 3- 5-  4 -4  6 -4 19+
Curve Equation t 11685e1 [1,0,1,-688,-7009] 1

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

Part of Computational Number Theory
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