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	330c1 330c2 330c3 330c4 330c5 330c6	Curves in isogeny class
deg	192	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5-  0 11-  6  2 -4	Hecke eigenvalues for primes less than 20
L	1.8779608986609	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2640v 10560q 990c 1650h	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 330c

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	-	6	2	-4	0	-10	0	6	2	4	-8	-10	-4	-2	-4	-8	2	-8	-12	-6	18

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Quadratic twists for isogeny class 330c

-4	8	-3	5	-7	-11	13	17	-19
2640v	10560q	990c	1650h	16170cb	3630d	55770a	95370cw	119130u

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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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