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	6	Number of curves in isogeny class
Curves	2800v1 2800v2 2800v3 2800v4 2800v5 2800v6	Curves in isogeny class
deg	1152	Modular degree for the optimal curve
Eigenvalues	2- -2 5+ 7-  0  4 -6 -2	Hecke eigenvalues for primes less than 20
L	2.4357724410939	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	350d 11200co 25200eh 112c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2800v

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

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Quadratic twists for isogeny class 2800v

-4	8	-3	5	-7
350d	11200co	25200eh	112c	19600cp

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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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