Cremona's table of elliptic curves

200 = 2³ · 5²

Field	Data	Notes
Atkin-Lehner	2- 5+	Signs for the Atkin-Lehner involutions
Class	200c	Isogeny class
Conductor	200	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	24	Modular degree for the optimal curve
Δ	1250000 = 24 · 57	Discriminant
Eigenvalues	2-  0 5+  4  4  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-50,125]	[a1,a2,a3,a4,a6]
j	55296/5	j-invariant
L	1.3276988788884	L(r)(E,1)/r!
Ω	2.6553977577768	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	400a1 1600a1 1800g1 40a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 200c1

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

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Quadratic twists for elliptic curve 200c1

-4	8	-3	5	-7	-11	13	17	-19	-23
400a1	1600a1	1800g1	40a3	9800ba1	24200h1	33800b1	57800s1	72200c1	105800v1

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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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