Cremona's table of elliptic curves

11200 = 2⁶ · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 5+ 7-	Signs for the Atkin-Lehner involutions
Conductor	11200	Conductor
Count	6	Number of curves in isogeny class
Curves	11200co1 11200co2 11200co3 11200co4 11200co5 11200co6	Curves in isogeny class
deg	9216	Modular degree for the optimal curve
Eigenvalues	2-  2 5+ 7-  0 -4 -6  2	Hecke eigenvalues for primes less than 20
L	6.386617477606	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	11200j 2800v 100800mz 448f	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 11200co

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

---

Quadratic twists for isogeny class 11200co

-4	8	-3	5	-7
11200j	2800v	100800mz	448f	78400il

---

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