Cremona's table of elliptic curves

2100 = 2² · 3 · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7+	Signs for the Atkin-Lehner involutions
Class	2100k	Isogeny class
Conductor	2100	Conductor
∏ cp	240	Product of Tamagawa factors cp
Δ	-57868020000000 = -1 · 28 · 310 · 57 · 72	Discriminant
Eigenvalues	2- 3- 5+ 7+ -2 -4 -2  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-13508,701988]	[a1,a2,a3,a4,a6]
Generators	[268:-4050:1]	Generators of the group modulo torsion
j	-68150496976/14467005	j-invariant
L	3.4222587986164	L(r)(E,1)/r!
Ω	0.59915806680768	Real period
R	0.095196325983731	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	8400bn2 33600f2 6300f2 420b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2100k2

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

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Quadratic twists for elliptic curve 2100k2

-4	8	-3	5	-7
8400bn2	33600f2	6300f2	420b2	14700j2

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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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