Cremona's table of elliptic curves

2541 = 3 · 7 · 11²

Field	Data	Notes
Atkin-Lehner	3+ 7+ 11-	Signs for the Atkin-Lehner involutions
Conductor	2541	Conductor
Count	6	Number of curves in isogeny class
Curves	2541b1 2541b2 2541b3 2541b4 2541b5 2541b6	Curves in isogeny class
deg	2400	Modular degree for the optimal curve
Eigenvalues	1 3+ -2 7+ 11- -6 -2 -4	Hecke eigenvalues for primes less than 20
L	0.59604171183004	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	40656dk 7623i 63525bv 17787o	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 2541b

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	+	-	-6	-2	-4	0	2	8	6	-10	4	-8	6	4	10	-12	0	-2	-16	-4	18	2

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Quadratic twists for isogeny class 2541b

-4	-3	5	-7	-11
40656dk	7623i	63525bv	17787o	231a

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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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