Cremona's table of elliptic curves

13680 = 2⁴ · 3² · 5 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 19-	Signs for the Atkin-Lehner involutions
Conductor	13680	Conductor
Count	4	Number of curves in isogeny class
Curves	13680q1 13680q2 13680q3 13680q4	Curves in isogeny class
deg	4096	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ -4  0  2 -2 19-	Hecke eigenvalues for primes less than 20
L	3.6674227602288	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	6840f 54720eo 4560f 68400cf	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 13680q

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

---

Quadratic twists for isogeny class 13680q

-4	8	-3	5
6840f	54720eo	4560f	68400cf

---

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