Cremona's table of elliptic curves

6889 = 83²

Field	Data	Notes
Atkin-Lehner	83-	Signs for the Atkin-Lehner involutions
Conductor	6889	Conductor
Count	1	Number of curves in isogeny class
Curves	6889a1	Curves in isogeny class
deg	13776	Modular degree for the optimal curve
Eigenvalues	1 -1  2 -3  3  6  5 -2	Hecke eigenvalues for primes less than 20
L	1.7186135367786	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	110224k 62001k 83a	Quadratic twists by: -4 -3 -83

Hecke Eigenvalues for isogeny class 6889a

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	-1	2	-3	3	6	5	-2	-4	-7	5	-11	-2	8	0	-6	5	5	2	-2	0	-14	-	0	8

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Quadratic twists for isogeny class 6889a

-4	-3	-83
110224k	62001k	83a

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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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