Cremona's table of elliptic curves

6630 = 2 · 3 · 5 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 13+ 17-	Signs for the Atkin-Lehner involutions
Conductor	6630	Conductor
Count	4	Number of curves in isogeny class
Curves	6630c1 6630c2 6630c3 6630c4	Curves in isogeny class
deg	2048	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+ -4 -4 13+ 17- -4	Hecke eigenvalues for primes less than 20
L	3.1240763232711	L(r)(E,1)/r!
r	2	Rank of the group of rational points
Twists	53040cl 19890bd 33150cb 86190ce	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for isogeny class 6630c

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
+	+	+	-4	-4	+	-	-4	0	2	-8	2	-2	-8	-8	-14	-12	10	-12	-8	-14	0	4	-6	2

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Quadratic twists for isogeny class 6630c

-4	-3	5	13	17
53040cl	19890bd	33150cb	86190ce	112710bl

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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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