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	2496ba1 2496ba2 2496ba3 2496ba4	Curves in isogeny class
deg	384	Modular degree for the optimal curve
Eigenvalues	2- 3-  0 -2  0 13+ -6  2	Hecke eigenvalues for primes less than 20
L	3.5741520120113	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2496a 624g 7488bp 62400ex	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2496ba

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
-	-	0	-2	0	+	-6	2	0	6	-2	-2	-12	-4	0	-6	12	-2	-10	-12	14	-8	12	0	-10

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Quadratic twists for isogeny class 2496ba

-4	8	-3	5	-7	13
2496a	624g	7488bp	62400ex	122304fw	32448cy

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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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