Cremona's table of elliptic curves

666 = 2 · 3² · 37

Field	Data	Notes
Atkin-Lehner	2- 3- 37-	Signs for the Atkin-Lehner involutions
Conductor	666	Conductor
Count	4	Number of curves in isogeny class
Curves	666f1 666f2 666f3 666f4	Curves in isogeny class
deg	288	Modular degree for the optimal curve
Eigenvalues	2- 3- -2  0  4  6 -6  8	Hecke eigenvalues for primes less than 20
L	2.2246573039018	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	5328v 21312m 222c 16650i	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 666f

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
-	-	-2	0	4	6	-6	8	0	6	4	-	6	-8	-8	-6	4	-2	-12	0	10	-12	4	10	-6

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Quadratic twists for isogeny class 666f

-4	8	-3	5	-7	-11	13	37
5328v	21312m	222c	16650i	32634ce	80586q	112554b	24642g

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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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