Cremona's table of elliptic curves

11760 = 2⁴ · 3 · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 7-	Signs for the Atkin-Lehner involutions
Conductor	11760	Conductor
Count	6	Number of curves in isogeny class
Curves	11760e1 11760e2 11760e3 11760e4 11760e5 11760e6	Curves in isogeny class
deg	12288	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+ 7-  4  2 -2 -4	Hecke eigenvalues for primes less than 20
L	1.4267484898545	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	5880bf 47040hf 35280cq 58800dj	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 11760e

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	0	-10	0	6	6	4	-8	6	-4	10	-4	16	14	-8	-4	-10	-10

---

Quadratic twists for isogeny class 11760e

-4	8	-3	5	-7
5880bf	47040hf	35280cq	58800dj	1680j

---

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