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	6720q1 6720q2 6720q3 6720q4 6720q5 6720q6	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	2.6692020130664	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	6720bm 840f 20160cd 33600x	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 6720q

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	10	0	-6	-6	4	-8	-6	4	10	-4	-16	-14	8	4	10	10

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Quadratic twists for isogeny class 6720q

-4	8	-3	5	-7
6720bm	840f	20160cd	33600x	47040bm

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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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