Cremona's table of elliptic curves

2873 = 13² · 17

Field	Data	Notes
Atkin-Lehner	13+ 17-	Signs for the Atkin-Lehner involutions
Conductor	2873	Conductor
Count	2	Number of curves in isogeny class
Curves	2873b1 2873b2	Curves in isogeny class
deg	20160	Modular degree for the optimal curve
Eigenvalues	1  0 -4  2 -6 13+ 17- -8	Hecke eigenvalues for primes less than 20
L	0.5339058638063	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	45968r 25857j 71825g 221a	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for isogeny class 2873b

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

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Quadratic twists for isogeny class 2873b

-4	-3	5	13	17
45968r	25857j	71825g	221a	48841b

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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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