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	6720l1 6720l2 6720l3 6720l4 6720l5 6720l6 6720l7 6720l8	Curves in isogeny class
deg	9216	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5- 7-  0 -2 -6  4	Hecke eigenvalues for primes less than 20
L	3.7757685625521	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	6720cg 210a 20160bn 33600cc	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 6720l

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

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Quadratic twists for isogeny class 6720l

-4	8	-3	5	-7
6720cg	210a	20160bn	33600cc	47040cf

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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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