Cremona's table of elliptic curves

200 = 2³ · 5²

Field	Data	Notes
Atkin-Lehner	2- 5-	Signs for the Atkin-Lehner involutions
Class	200b	Isogeny class
Conductor	200	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	32000 = 28 · 53	Discriminant
Eigenvalues	2- -2 5- -2 -4 -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-28,48]	[a1,a2,a3,a4,a6]
Generators	[-2:10:1]	Generators of the group modulo torsion
j	78608	j-invariant
L	1.088433130107	L(r)(E,1)/r!
Ω	3.7121152731513	Real period
R	0.14660551330118	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	400d2 1600l2 1800k2 200d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 200b2

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	-	-2	-4	-4	0	-4	2	2	0	-4	2	6	6	4	-12	-10	-14	8	-8	16	-2	6	-16

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Quadratic twists for elliptic curve 200b2

-4	8	-3	5	-7	-11	13	17	-19	-23
400d2	1600l2	1800k2	200d2	9800bp2	24200q2	33800o2	57800ba2	72200r2	105800bi2

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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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