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	4	Number of curves in isogeny class
Curves	11760c1 11760c2 11760c3 11760c4	Curves in isogeny class
deg	6144	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+ 7-  0 -2 -2  0	Hecke eigenvalues for primes less than 20
L	1.0491373973483	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	5880k 47040gr 35280cf 58800cq	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 11760c

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

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Quadratic twists for isogeny class 11760c

-4	8	-3	5	-7
5880k	47040gr	35280cf	58800cq	1680i

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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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