Cremona's table of elliptic curves

330 = 2 · 3 · 5 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 11-	Signs for the Atkin-Lehner involutions
Conductor	330	Conductor
Count	4	Number of curves in isogeny class
Curves	330e1 330e2 330e3 330e4	Curves in isogeny class
deg	64	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5- -4 11- -2 -2 -8	Hecke eigenvalues for primes less than 20
L	1.1562800328986	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2640w 10560s 990j 1650t	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 330e

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

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Quadratic twists for isogeny class 330e

-4	8	-3	5	-7	-11	13	17	-19
2640w	10560s	990j	1650t	16170u	3630s	55770bq	95370z	119130by

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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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