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	2496s1 2496s2 2496s3 2496s4	Curves in isogeny class
deg	512	Modular degree for the optimal curve
Eigenvalues	2- 3+  2 -4  0 13+  2  8	Hecke eigenvalues for primes less than 20
L	1.3480363968446	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2496i 624f 7488bu 62400hl	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2496s

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

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Quadratic twists for isogeny class 2496s

-4	8	-3	5	-7	13
2496i	624f	7488bu	62400hl	122304il	32448cl

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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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