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	16	Product of Tamagawa factors cp
Δ	100000000 = 28 · 58	Discriminant
Eigenvalues	2-  0 5+  4  4  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-175,-750]	[a1,a2,a3,a4,a6]
j	148176/25	j-invariant
L	1.3276988788884	L(r)(E,1)/r!
Ω	1.3276988788884	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	400a2 1600a2 1800g2 40a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 200c2

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 200c2

-4	8	-3	5	-7	-11	13	17	-19	-23
400a2	1600a2	1800g2	40a1	9800ba2	24200h2	33800b2	57800s2	72200c2	105800v2

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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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