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	66c1 66c2 66c3 66c4	Curves in isogeny class
deg	20	Modular degree for the optimal curve
Eigenvalues	2- 3- -4 -2 11-  4 -2  0	Hecke eigenvalues for primes less than 20
L	1.1916148156125	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	528f 2112d 198e 1650b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 66c

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

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Quadratic twists for isogeny class 66c

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43
528f	2112d	198e	1650b	3234s	726e	11154q	19074p	23826l	34914bf	55506d	63426x	90354k	110946v	122034d

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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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