Cremona's table of elliptic curves

8800 = 2⁵ · 5² · 11

Field	Data	Notes
Atkin-Lehner	2- 5+ 11-	Signs for the Atkin-Lehner involutions
Conductor	8800	Conductor
Count	4	Number of curves in isogeny class
Curves	8800u1 8800u2 8800u3 8800u4	Curves in isogeny class
deg	3072	Modular degree for the optimal curve
Eigenvalues	2-  0 5+  0 11-  2  2 -4	Hecke eigenvalues for primes less than 20
L	4.2078571798972	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	8800a 17600a 79200t 1760f	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 8800u

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

---

Quadratic twists for isogeny class 8800u

-4	8	-3	5	-11
8800a	17600a	79200t	1760f	96800d

---

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