Cremona's table of elliptic curves

9680 = 2⁴ · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	9680t	Isogeny class
Conductor	9680	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2880	Modular degree for the optimal curve
Δ	141724880 = 24 · 5 · 116	Discriminant
Eigenvalues	2-  2 5+  2 11- -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-161,596]	[a1,a2,a3,a4,a6]
Generators	[400:7986:1]	Generators of the group modulo torsion
j	16384/5	j-invariant
L	6.1350592935783	L(r)(E,1)/r!
Ω	1.7031622932882	Real period
R	3.6021577730762	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	2420e1 38720dn1 87120fz1 48400cn1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9680t1

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

---

Quadratic twists for elliptic curve 9680t1

-4	8	-3	5	-11
2420e1	38720dn1	87120fz1	48400cn1	80b2

---

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