Cremona's table of elliptic curves

9680 = 2⁴ · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2- 5+ 11-	Signs for the Atkin-Lehner involutions
Conductor	9680	Conductor
Count	4	Number of curves in isogeny class
Curves	9680t1 9680t2 9680t3 9680t4	Curves in isogeny class
deg	2880	Modular degree for the optimal curve
Eigenvalues	2-  2 5+  2 11- -2  6 -4	Hecke eigenvalues for primes less than 20
L	6.1350592935783	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2420e 38720dn 87120fz 48400cn	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 9680t

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 isogeny class 9680t

-4	8	-3	5	-11
2420e	38720dn	87120fz	48400cn	80b

---

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