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	2100p	Isogeny class
Conductor	2100	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	960	Modular degree for the optimal curve
Δ	-1968750000 = -1 · 24 · 32 · 59 · 7	Discriminant
Eigenvalues	2- 3- 5- 7+  4 -2 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,167,-1912]	[a1,a2,a3,a4,a6]
j	16384/63	j-invariant
L	2.2474408789525	L(r)(E,1)/r!
Ω	0.74914695965082	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	8400bx1 33600br1 6300x1 2100h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2100p1

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

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Quadratic twists for elliptic curve 2100p1

-4	8	-3	5	-7
8400bx1	33600br1	6300x1	2100h1	14700u1

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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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