Cremona's table of elliptic curves

4200 = 2³ · 3 · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7-	Signs for the Atkin-Lehner involutions
Class	4200bf	Isogeny class
Conductor	4200	Conductor
∏ cp	240	Product of Tamagawa factors cp
deg	19200	Modular degree for the optimal curve
Δ	-689192043750000 = -1 · 24 · 38 · 58 · 75	Discriminant
Eigenvalues	2- 3- 5- 7- -3  2 -4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,15792,1011213]	[a1,a2,a3,a4,a6]
Generators	[-42:525:1]	Generators of the group modulo torsion
j	69683121920/110270727	j-invariant
L	4.354740286789	L(r)(E,1)/r!
Ω	0.34712957330367	Real period
R	0.052270830808994	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	8400l1 33600by1 12600bg1 4200b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4200bf1

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	2	-4	-2	-9	-7	10	5	-8	-7	-10	10	-6	-8	-13	1	4	-13	14	6	-2

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Quadratic twists for elliptic curve 4200bf1

-4	8	-3	5	-7
8400l1	33600by1	12600bg1	4200b1	29400dm1

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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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