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	2100c	Isogeny class
Conductor	2100	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	12348000000 = 28 · 32 · 56 · 73	Discriminant
Eigenvalues	2- 3+ 5+ 7+ -6 -2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-45708,-3746088]	[a1,a2,a3,a4,a6]
j	2640279346000/3087	j-invariant
L	0.97953958967502	L(r)(E,1)/r!
Ω	0.32651319655834	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	8400ci4 33600cn4 6300j4 84a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2100c4

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

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Quadratic twists for elliptic curve 2100c4

-4	8	-3	5	-7
8400ci4	33600cn4	6300j4	84a4	14700bn4

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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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