Cremona's table of elliptic curves

663 = 3 · 13 · 17

Field	Data	Notes
Atkin-Lehner	3- 13+ 17-	Signs for the Atkin-Lehner involutions
Conductor	663	Conductor
Count	2	Number of curves in isogeny class
Curves	663c1 663c2	Curves in isogeny class
deg	64	Modular degree for the optimal curve
Eigenvalues	-1 3-  0 -2 -2 13+ 17-  0	Hecke eigenvalues for primes less than 20
L	1.6326154359075	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	10608o 42432l 1989a 16575b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 663c

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	-2	+	-	0	-8	-6	6	4	-12	-4	0	-6	0	-2	0	10	-4	12	-4	-10	16

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Quadratic twists for isogeny class 663c

-4	8	-3	5	-7	-11	13	17
10608o	42432l	1989a	16575b	32487g	80223o	8619j	11271a

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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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