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	6	Number of curves in isogeny class
Curves	330b1 330b2 330b3 330b4 330b5 330b6	Curves in isogeny class
deg	32	Modular degree for the optimal curve
Eigenvalues	2- 3- 5-  0 11+ -2  2 -4	Hecke eigenvalues for primes less than 20
L	2.418868993809	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2640q 10560e 990e 1650a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 330b

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

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Quadratic twists for isogeny class 330b

-4	8	-3	5	-7	-11	13	17	-19
2640q	10560e	990e	1650a	16170bj	3630k	55770z	95370ca	119130i

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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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