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	6720w1 6720w2 6720w3 6720w4 6720w5 6720w6	Curves in isogeny class
deg	4096	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ 7- -4  2 -6 -4	Hecke eigenvalues for primes less than 20
L	4.5736757005992	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	6720bh 840g 20160cn 33600m	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 6720w

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

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Quadratic twists for isogeny class 6720w

-4	8	-3	5	-7
6720bh	840g	20160cn	33600m	47040br

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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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