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	6720bw1 6720bw2 6720bw3 6720bw4 6720bw5 6720bw6 6720bw7 6720bw8	Curves in isogeny class
deg	18432	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+ 7+  0 -2 -6  8	Hecke eigenvalues for primes less than 20
L	4.4167159092651	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	6720f 1680m 20160en 33600ey	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 6720bw

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	8	0	-6	4	10	-6	-4	0	6	-12	10	-4	-12	-10	-8	12	-6	-10

---

Quadratic twists for isogeny class 6720bw

-4	8	-3	5	-7
6720f	1680m	20160en	33600ey	47040ey

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations