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	4	Number of curves in isogeny class
Curves	11200bv1 11200bv2 11200bv3 11200bv4	Curves in isogeny class
deg	4096	Modular degree for the optimal curve
Eigenvalues	2-  0 5+ 7+ -4  2  6  8	Hecke eigenvalues for primes less than 20
L	1.4522516390011	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	11200n 2800a 100800lu 448b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 11200bv

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	+	+	-4	2	6	8	0	-6	-8	-2	2	4	-8	6	0	6	4	8	-10	-16	-8	-6	6

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Quadratic twists for isogeny class 11200bv

-4	8	-3	5	-7
11200n	2800a	100800lu	448b	78400gz

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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