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	2100r	Isogeny class
Conductor	2100	Conductor
∏ cp	162	Product of Tamagawa factors cp
deg	1296	Modular degree for the optimal curve
Δ	-2500470000 = -1 · 24 · 36 · 54 · 73	Discriminant
Eigenvalues	2- 3- 5- 7- -3 -4 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-658,6713]	[a1,a2,a3,a4,a6]
Generators	[98:-945:1]	Generators of the group modulo torsion
j	-3155449600/250047	j-invariant
L	3.5176294552672	L(r)(E,1)/r!
Ω	1.4184888626811	Real period
R	0.13776904688317	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	8400bq1 33600bz1 6300bb1 2100a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2100r1

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
-	-	-	-	-3	-4	-6	-4	3	3	-10	-7	0	-1	-12	6	12	-4	-7	9	2	17	-6	0	2

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Quadratic twists for elliptic curve 2100r1

-4	8	-3	5	-7
8400bq1	33600bz1	6300bb1	2100a1	14700s1

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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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