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	4	Product of Tamagawa factors cp
deg	8	Modular degree for the optimal curve
Δ	2000 = 24 · 53	Discriminant
Eigenvalues	2- -2 5- -2 -4 -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3,-2]	[a1,a2,a3,a4,a6]
Generators	[-1:1:1]	Generators of the group modulo torsion
j	2048	j-invariant
L	1.088433130107	L(r)(E,1)/r!
Ω	3.7121152731513	Real period
R	0.29321102660236	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	400d1 1600l1 1800k1 200d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 200b1

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 200b1

-4	8	-3	5	-7	-11	13	17	-19	-23
400d1	1600l1	1800k1	200d1	9800bp1	24200q1	33800o1	57800ba1	72200r1	105800bi1

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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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