Cremona's table of elliptic curves

2800 = 2⁴ · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+	Signs for the Atkin-Lehner involutions
Conductor	2800	Conductor
Count	4	Number of curves in isogeny class
Curves	2800o1 2800o2 2800o3 2800o4	Curves in isogeny class
deg	2304	Modular degree for the optimal curve
Eigenvalues	2-  0 5+ 7+ -4  6 -2  0	Hecke eigenvalues for primes less than 20
L	1.4018989853723	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	350a 11200bu 25200dy 560d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2800o

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	6	-2	0	0	6	-8	10	2	4	8	2	8	-14	-12	16	-2	8	8	10	-2

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Quadratic twists for isogeny class 2800o

-4	8	-3	5	-7
350a	11200bu	25200dy	560d	19600cc

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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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