Cremona's table of elliptic curves

2704 = 2⁴ · 13²

Field	Data	Notes
Atkin-Lehner	2- 13-	Signs for the Atkin-Lehner involutions
Conductor	2704	Conductor
Count	2	Number of curves in isogeny class
Curves	2704n1 2704n2	Curves in isogeny class
deg	576	Modular degree for the optimal curve
Eigenvalues	2-  1 -3  3  0 13- -3  6	Hecke eigenvalues for primes less than 20
L	3.4159633193442	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	338e 10816bn 24336cg 67600cr	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2704n

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
-	1	-3	3	0	-	-3	6	-6	0	0	-3	0	-1	3	-6	-6	-8	12	-15	-6	-10	-6	6	-12

---

Quadratic twists for isogeny class 2704n

-4	8	-3	5	13
338e	10816bn	24336cg	67600cr	2704m

---

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