Cremona's table of elliptic curves

6293 = 7 · 29 · 31

Class	r	Atkin-Lehner	Eigenvalues
6293a (1 curve)	1	7+ 29+ 31+	0 -1  0 7+ -2  4 -2 -5
Curve Equation t Generators 6293a1 [0,-1,1,-33,177] 1 [-3:15:1]
6293b (1 curve)	0	7+ 29+ 31-	0 -3 -4 7+  2  0  2  5
Curve Equation t 6293b1 [0,0,1,-7762,-263214] 1
6293c (1 curve)	1	7+ 29- 31-	0 -2  2 7+  3 -5  0 -5
Curve Equation t Generators 6293c1 [0,1,1,-147,639] 1 [7:1:1]
6293d (1 curve)	2	7- 29+ 31+	-2  0 -4 7- -1  1  0 -7
Curve Equation t Generators 6293d1 [0,0,1,-17,-4] 1 [-3:4:1]&[-1:3:1]
6293e (1 curve)	0	7- 29+ 31+	-2  1  4 7- -6 -4 -6  7
Curve Equation t 6293e1 [0,1,1,-16856,-847982] 1
6293f (2 curves)	2	7- 29- 31-	0 -2  0 7- -3 -1 -6 -7
Curve Equation t Generators 6293f1 [0,1,1,-63,138] 3 [-4:18:1]&[6:3:1] 6293f2 [0,1,1,-1513,-23149] 1 [-23:3:1]&[47:108:1]

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