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	8	Number of curves in isogeny class
Curves	6720c1 6720c2 6720c3 6720c4 6720c5 6720c6 6720c7 6720c8	Curves in isogeny class
deg	24576	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+ 7+  4  2  2 -4	Hecke eigenvalues for primes less than 20
L	3.2776134934885	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	6720cd 210e 20160ce 33600da	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 6720c

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	-8	2	0	-6	-6	4	0	10	-12	-14	12	-8	10	16	12	10	2

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Quadratic twists for isogeny class 6720c

-4	8	-3	5	-7
6720cd	210e	20160ce	33600da	47040dm

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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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