Cremona's table of elliptic curves

9280 = 2⁶ · 5 · 29

Field	Data	Notes
Atkin-Lehner	2- 5- 29+	Signs for the Atkin-Lehner involutions
Class	9280o	Isogeny class
Conductor	9280	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	742400 = 210 · 52 · 29	Discriminant
Eigenvalues	2-  0 5-  0 -2  2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-32,56]	[a1,a2,a3,a4,a6]
Generators	[1:5:1]	Generators of the group modulo torsion
j	3538944/725	j-invariant
L	4.44179327768	L(r)(E,1)/r!
Ω	2.6948981374577	Real period
R	1.6482230685981	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	9280e1 2320g1 83520et1 46400bm1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9280o1

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

---

Quadratic twists for elliptic curve 9280o1

-4	8	-3	5
9280e1	2320g1	83520et1	46400bm1

---

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