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	6720f1 6720f2 6720f3 6720f4 6720f5 6720f6 6720f7 6720f8	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	0.83202643925174	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	6720bw 210b 20160cg 33600cd	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 6720f

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 6720f

-4	8	-3	5	-7
6720bw	210b	20160cg	33600cd	47040dc

---

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