Cremona's table of elliptic curves

10200 = 2³ · 3 · 5² · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 17+	Signs for the Atkin-Lehner involutions
Class	10200bh	Isogeny class
Conductor	10200	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	-63750000 = -1 · 24 · 3 · 57 · 17	Discriminant
Eigenvalues	2- 3- 5+  3 -3 -4 17+ -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-8,-387]	[a1,a2,a3,a4,a6]
Generators	[18:75:1]	Generators of the group modulo torsion
j	-256/255	j-invariant
L	5.5953148751762	L(r)(E,1)/r!
Ω	0.88620822231675	Real period
R	0.78922124821703	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	20400b1 81600i1 30600w1 2040d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10200bh1

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	-3	-4	+	-1	-4	1	-4	3	-3	4	9	9	6	-8	-2	0	-3	-10	0	-14	-2

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Quadratic twists for elliptic curve 10200bh1

-4	8	-3	5
20400b1	81600i1	30600w1	2040d1

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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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