Cremona's table of elliptic curves

66 = 2 · 3 · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 11+	Signs for the Atkin-Lehner involutions
Conductor	66	Conductor
Count	4	Number of curves in isogeny class
Curves	66b1 66b2 66b3 66b4	Curves in isogeny class
deg	4	Modular degree for the optimal curve
Eigenvalues	2- 3+  2 -4 11+ -6  2  4	Hecke eigenvalues for primes less than 20
L	1.1021925301216	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	528j 2112r 198a 1650f	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 66b

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

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Quadratic twists for isogeny class 66b

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43
528j	2112r	198a	1650f	3234t	726c	11154h	19074bh	23826r	34914w	55506q	63426bh	90354a	110946bm	122034e

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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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