Cremona's table of elliptic curves

10080 = 2⁵ · 3² · 5 · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Conductor	10080	Conductor
Count	4	Number of curves in isogeny class
Curves	10080r1 10080r2 10080r3 10080r4	Curves in isogeny class
deg	24576	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ 7-  4 -2  2 -8	Hecke eigenvalues for primes less than 20
L	4.4434330187792	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	10080bn 20160co 3360z 50400de	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 10080r

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	-8	0	2	0	-6	-2	-4	8	6	0	-2	-4	4	-2	-4	-12	-18	6

---

Quadratic twists for isogeny class 10080r

-4	8	-3	5	-7
10080bn	20160co	3360z	50400de	70560br

---

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