Cremona's table of elliptic curves

6279 = 3 · 7 · 13 · 23

Field	Data	Notes
Atkin-Lehner	3- 7+ 13- 23+	Signs for the Atkin-Lehner involutions
Conductor	6279	Conductor
Count	6	Number of curves in isogeny class
Curves	6279i1 6279i2 6279i3 6279i4 6279i5 6279i6	Curves in isogeny class
deg	11264	Modular degree for the optimal curve
Eigenvalues	-1 3- -2 7+ -4 13-  2  4	Hecke eigenvalues for primes less than 20
L	2.4130866844371	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	100464bk 18837f 43953f 81627u	Quadratic twists by: -4 -3 -7 13

Hecke Eigenvalues for isogeny class 6279i

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-1	-	-2	+	-4	-	2	4	+	-2	8	-2	-6	-4	-8	6	4	-2	4	16	10	0	4	2	10

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Quadratic twists for isogeny class 6279i

-4	-3	-7	13
100464bk	18837f	43953f	81627u

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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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