Cremona's table of elliptic curves

35280 = 2⁴ · 3² · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7-	Signs for the Atkin-Lehner involutions
Conductor	35280	Conductor
Count	6	Number of curves in isogeny class
Curves	35280fq1 35280fq2 35280fq3 35280fq4 35280fq5 35280fq6	Curves in isogeny class
deg	294912	Modular degree for the optimal curve
Eigenvalues	2- 3- 5- 7-  4  2  2 -4	Hecke eigenvalues for primes less than 20
L	6.6134351872882	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	4410t 11760br 5040bg	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for isogeny class 35280fq

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

---

Quadratic twists for isogeny class 35280fq

-4	-3	-7
4410t	11760br	5040bg

---

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