Cremona's table of elliptic curves

2496 = 2⁶ · 3 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3+ 13+	Signs for the Atkin-Lehner involutions
Conductor	2496	Conductor
Count	4	Number of curves in isogeny class
Curves	2496c1 2496c2 2496c3 2496c4	Curves in isogeny class
deg	256	Modular degree for the optimal curve
Eigenvalues	2+ 3+ -2  0  0 13+  2  4	Hecke eigenvalues for primes less than 20
L	2.4586088148755	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2496bb 312c 7488n 62400cq	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2496c

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
+	+	-2	0	0	+	2	4	0	-6	0	2	6	12	-4	-6	8	2	-4	-12	-14	0	-8	-18	-6

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Quadratic twists for isogeny class 2496c

-4	8	-3	5	-7	13
2496bb	312c	7488n	62400cq	122304ed	32448c

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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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