Cremona's table of elliptic curves

11760 = 2⁴ · 3 · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7-	Signs for the Atkin-Lehner involutions
Conductor	11760	Conductor
Count	8	Number of curves in isogeny class
Curves	11760bq1 11760bq2 11760bq3 11760bq4 11760bq5 11760bq6 11760bq7 11760bq8	Curves in isogeny class
deg	6144	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+ 7-  4  2 -2  4	Hecke eigenvalues for primes less than 20
L	3.9136675594174	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	735e 47040hg 35280fr 58800it	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 11760bq

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

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Quadratic twists for isogeny class 11760bq

-4	8	-3	5	-7
735e	47040hg	35280fr	58800it	240d

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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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