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	660b1 660b2	Curves in isogeny class
deg	48	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+  0 11- -4 -2  2	Hecke eigenvalues for primes less than 20
L	1.8332170917685	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2640s 10560ba 1980c 3300m	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 660b

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	-	-4	-2	2	-8	-4	-4	-2	-12	8	-4	-10	4	6	12	0	-16	6	-2	18	-2

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Quadratic twists for isogeny class 660b

-4	8	-3	5	-7	-11	13
2640s	10560ba	1980c	3300m	32340bo	7260a	111540l

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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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