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	4	Number of curves in isogeny class
Curves	2873a1 2873a2 2873a3 2873a4	Curves in isogeny class
deg	576	Modular degree for the optimal curve
Eigenvalues	1  0  2 -4  0 13+ 17-  4	Hecke eigenvalues for primes less than 20
L	1.7163308857418	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	45968p 25857i 71825h 17a	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for isogeny class 2873a

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

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Quadratic twists for isogeny class 2873a

-4	-3	5	13	17
45968p	25857i	71825h	17a	48841a

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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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