Cremona's table of elliptic curves

2800 = 2⁴ · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 5- 7+	Signs for the Atkin-Lehner involutions
Class	2800ba	Isogeny class
Conductor	2800	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	720	Modular degree for the optimal curve
Δ	-43750000 = -1 · 24 · 58 · 7	Discriminant
Eigenvalues	2-  2 5- 7+ -3 -4  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,42,287]	[a1,a2,a3,a4,a6]
Generators	[17:75:1]	Generators of the group modulo torsion
j	1280/7	j-invariant
L	4.197847983327	L(r)(E,1)/r!
Ω	1.4621091382302	Real period
R	0.95703024112329	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	700i1 11200cz1 25200fc1 2800w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2800ba1

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	-	+	-3	-4	0	-2	3	9	-8	5	-6	-11	-6	6	0	-10	-5	-15	-10	7	-12	-12	8

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Quadratic twists for elliptic curve 2800ba1

-4	8	-3	5	-7
700i1	11200cz1	25200fc1	2800w1	19600ea1

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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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