Cremona's table of elliptic curves

6720 = 2⁶ · 3 · 5 · 7

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 7+	Signs for the Atkin-Lehner involutions
Conductor	6720	Conductor
Count	6	Number of curves in isogeny class
Curves	6720e1 6720e2 6720e3 6720e4 6720e5 6720e6	Curves in isogeny class
deg	2048	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+ 7+ -4  2  2 -4	Hecke eigenvalues for primes less than 20
L	2.9432122601092	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	6720ca 840j 20160cb 33600dc	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 6720e

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

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Quadratic twists for isogeny class 6720e

-4	8	-3	5	-7
6720ca	840j	20160cb	33600dc	47040do

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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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