Cremona's table of elliptic curves

64 = 2⁶

Field	Data	Notes
Atkin-Lehner	2-	Signs for the Atkin-Lehner involutions
Conductor	64	Conductor
Count	4	Number of curves in isogeny class
Curves	64a1 64a2 64a3 64a4	Curves in isogeny class
deg	2	Modular degree for the optimal curve
Eigenvalues	2-  0  2  0  0 -6  2  0	Hecke eigenvalues for primes less than 20
L	0.92703733865069	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	64a 32a 576h 1600o	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 64a

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	0	0	-6	2	0	0	10	0	2	10	0	0	-14	0	10	0	0	-6	0	0	10	18

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Quadratic twists for isogeny class 64a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43
64a	32a	576h	1600o	3136t	7744t	10816bb	18496i	23104bo	33856ba	53824r	61504bn	87616z	107584h	118336bd

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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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