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	66a1 66a2 66a3 66a4	Curves in isogeny class
deg	4	Modular degree for the optimal curve
Eigenvalues	2+ 3-  0  2 11+ -4 -6 -4	Hecke eigenvalues for primes less than 20
L	0.79709145734732	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	528g 2112e 198b 1650m	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 66a

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

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Quadratic twists for isogeny class 66a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43
528g	2112e	198b	1650m	3234b	726h	11154bf	19074b	23826y	34914o	55506bd	63426e	90354v	110946h	122034f

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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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