Cremona's table of elliptic curves

13552 = 2⁴ · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 7- 11-	Signs for the Atkin-Lehner involutions
Conductor	13552	Conductor
Count	4	Number of curves in isogeny class
Curves	13552e1 13552e2 13552e3 13552e4	Curves in isogeny class
deg	7680	Modular degree for the optimal curve
Eigenvalues	2+  0 -2 7- 11- -2  2 -4	Hecke eigenvalues for primes less than 20
L	3.8143065139976	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	6776a 54208cq 121968cb 94864m	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for isogeny class 13552e

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

---

Quadratic twists for isogeny class 13552e

-4	8	-3	-7	-11
6776a	54208cq	121968cb	94864m	1232b

---

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