Cremona's table of elliptic curves

2912 = 2⁵ · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 7- 13-	Signs for the Atkin-Lehner involutions
Conductor	2912	Conductor
Count	4	Number of curves in isogeny class
Curves	2912e1 2912e2 2912e3 2912e4	Curves in isogeny class
deg	288	Modular degree for the optimal curve
Eigenvalues	2-  0 -2 7-  4 13-  2 -4	Hecke eigenvalues for primes less than 20
L	1.4632252737327	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2912a 5824h 26208w 72800a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2912e

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	-	4	-	2	-4	4	-2	0	2	-2	-4	8	-2	4	14	-12	-8	14	12	-4	14	-2

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Quadratic twists for isogeny class 2912e

-4	8	-3	5	-7	13
2912a	5824h	26208w	72800a	20384w	37856a

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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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