Cremona's table of elliptic curves

3003 = 3 · 7 · 11 · 13

Field	Data	Notes
Atkin-Lehner	3+ 7- 11+ 13+	Signs for the Atkin-Lehner involutions
Conductor	3003	Conductor
Count	4	Number of curves in isogeny class
Curves	3003e1 3003e2 3003e3 3003e4	Curves in isogeny class
deg	864	Modular degree for the optimal curve
Eigenvalues	1 3+ -2 7- 11+ 13+ -6  4	Hecke eigenvalues for primes less than 20
L	0.93042588833475	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	48048cj 9009l 75075bg 21021k	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 3003e

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

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Quadratic twists for isogeny class 3003e

-4	-3	5	-7	-11	13
48048cj	9009l	75075bg	21021k	33033h	39039j

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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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