Cremona's table of elliptic curves

660 = 2² · 3 · 5 · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 11+	Signs for the Atkin-Lehner involutions
Conductor	660	Conductor
Count	2	Number of curves in isogeny class
Curves	660a1 660a2	Curves in isogeny class
deg	96	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+ -2 11+  2  8 -2	Hecke eigenvalues for primes less than 20
L	1.0700232125826	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2640t 10560bd 1980e 3300k	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 660a

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	+	2	8	-2	8	0	0	2	0	6	8	6	-4	10	-12	8	10	-14	4	10	-18

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Quadratic twists for isogeny class 660a

-4	8	-3	5	-7	-11	13
2640t	10560bd	1980e	3300k	32340bl	7260b	111540u

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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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