Cremona's table of elliptic curves

12408 = 2³ · 3 · 11 · 47

Class	r	Atkin-Lehner	Eigenvalues
12408a (4 curves)	1	2+ 3- 11- 47+	2+ 3- -2 -4 11-  2 -6  4
Curve Equation t Generators 12408a1 [0,1,0,-199,-1090] 2 [-7:3:1] 12408a2 [0,1,0,-604,4256] 4 [-25:66:1] 12408a3 [0,1,0,-9064,329120] 4 [539:12342:1] 12408a4 [0,1,0,1376,28016] 2 [-13:90:1]
12408b (1 curve)	1	2- 3+ 11+ 47-	2- 3+  0 -2 11+  0 -7  4
Curve Equation t Generators 12408b1 [0,-1,0,-848,27468] 1 [-11:188:1]
12408c (4 curves)	1	2- 3+ 11+ 47-	2- 3+  2  0 11+ -6  6  4
Curve Equation t Generators 12408c1 [0,-1,0,-87,-120] 2 [17:55:1] 12408c2 [0,-1,0,-692,7140] 4 [-8:110:1] 12408c3 [0,-1,0,-11032,449692] 2 [86:360:1] 12408c4 [0,-1,0,-32,19548] 2 [-2:140:1]
12408d (2 curves)	1	2- 3+ 11+ 47-	2- 3+ -2  0 11+  0  0 -6
Curve Equation t Generators 12408d1 [0,-1,0,-419,3444] 2 [1:55:1] 12408d2 [0,-1,0,-364,4324] 2 [4:54:1]
12408e (1 curve)	1	2- 3+ 11+ 47-	2- 3+ -4 -3 11+ -3 -6 -2
Curve Equation t Generators 12408e1 [0,-1,0,-18800,-1012164] 1 [569:13122:1]
12408f (1 curve)	1	2- 3- 11+ 47+	2- 3- -4  2 11+ -4 -3  8
Curve Equation t Generators 12408f1 [0,1,0,-3440,-78816] 1 [63447801:793375104:357911]
12408g (2 curves)	1	2- 3- 11+ 47+	2- 3- -4 -4 11+  2 -6  2
Curve Equation t Generators 12408g1 [0,1,0,-6820,-113124256] 2 [542:6534:1] 12408g2 [0,1,0,-3549760,-2536495216] 2 [-1024:5076:1]
12408h (1 curve)	0	2- 3- 11- 47+	2- 3-  0  5 11-  3 -2  2
Curve Equation t 12408h1 [0,1,0,432,-14256] 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
Back to Tables and computations