Cremona's table of elliptic curves

8178 = 2 · 3 · 29 · 47

Class	r	Atkin-Lehner	Eigenvalues
8178a (1 curve)	0	2+ 3+ 29+ 47-	2+ 3+  0  4 -4  3  3  3
Curve Equation t 8178a1 [1,1,0,30,-36] 1
8178b (1 curve)	2	2+ 3+ 29+ 47-	2+ 3+ -4 -1 -3  0  0  0
Curve Equation t Generators 8178b1 [1,1,0,573,13005] 1 [-10:85:1]&[3:120:1]
8178c (2 curves)	0	2+ 3+ 29- 47+	2+ 3+  2  0  0  2 -6 -6
Curve Equation t 8178c1 [1,1,0,-29,-87] 2 8178c2 [1,1,0,-499,-4505] 2
8178d (2 curves)	0	2+ 3+ 29- 47+	2+ 3+  2  0 -6 -4  6  0
Curve Equation t 8178d1 [1,1,0,-22504,1452352] 2 8178d2 [1,1,0,-372424,87322720] 2
8178e (1 curve)	0	2+ 3+ 29- 47+	2+ 3+ -3  0  0 -3  4 -1
Curve Equation t 8178e1 [1,1,0,-4078179,3167828109] 1
8178f (1 curve)	1	2+ 3+ 29- 47-	2+ 3+ -3  2  4 -5  0  1
Curve Equation t Generators 8178f1 [1,1,0,-64,-224] 1 [-5:4:1]
8178g (2 curves)	0	2+ 3- 29+ 47+	2+ 3-  3 -4  0 -1  0  5
Curve Equation t 8178g1 [1,0,1,-1052,12908] 3 8178g2 [1,0,1,-7937,-265732] 1
8178h (2 curves)	1	2+ 3- 29- 47+	2+ 3-  0 -1  3 -4  0  8
Curve Equation t Generators 8178h1 [1,0,1,-236,-3130] 3 [21:25:1] 8178h2 [1,0,1,-25031,-1526326] 1 [311:4404:1]
8178i (1 curve)	1	2- 3+ 29+ 47-	2- 3+  0 -5  5  0  0  0
Curve Equation t Generators 8178i1 [1,1,1,-1443,20673] 1 [19:-34:1]
8178j (1 curve)	1	2- 3- 29+ 47+	2- 3- -1  2 -4  1 -4  1
Curve Equation t Generators 8178j1 [1,0,0,-191,-1023] 1 [-8:7:1]

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