Cremona's table of elliptic curves

6715 = 5 · 17 · 79

Class	r	Atkin-Lehner	Eigenvalues
6715a (1 curve)	1	5+ 17+ 79+	2  2 5+  2 -2 -6 17+ -8
Curve Equation t Generators 6715a1 [0,-1,1,-6,337] 1 [1230:4501:216]
6715b (2 curves)	0	5+ 17+ 79-	0 -2 5+  2  0 -4 17+ -1
Curve Equation t 6715b1 [0,1,1,79,1560] 3 6715b2 [0,1,1,-711,-42759] 1
6715c (1 curve)	0	5+ 17- 79+	2 -1 5+ -1 -5  0 17-  4
Curve Equation t 6715c1 [0,-1,1,-5156,-142719] 1
6715d (2 curves)	1	5+ 17- 79-	0 -2 5+ -4 -6 -4 17-  5
Curve Equation t Generators 6715d1 [0,1,1,29,41] 3 [-1:3:1] 6715d2 [0,1,1,-311,-2730] 1 [22:39:1]
6715e (2 curves)	1	5- 17+ 79-	0 -2 5- -4  0 -4 17+ -4
Curve Equation t Generators 6715e1 [0,1,1,-535,-5194] 3 [70:552:1] 6715e2 [0,1,1,-43985,-3565329] 1 [115134:2412107:216]
6715f (1 curve)	1	5- 17- 79+	-2 -3 5-  1 -1  2 17- -4
Curve Equation t Generators 6715f1 [0,0,1,-7,-18] 1 [5:8:1]

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