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	10200bb	Isogeny class
Conductor	10200	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	3840	Modular degree for the optimal curve
Δ	-63750000 = -1 · 24 · 3 · 57 · 17	Discriminant
Eigenvalues	2- 3+ 5+ -1  5 -2 17- -1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-408,-3063]	[a1,a2,a3,a4,a6]
Generators	[32:125:1]	Generators of the group modulo torsion
j	-30118144/255	j-invariant
L	3.849746087273	L(r)(E,1)/r!
Ω	0.53075782061411	Real period
R	1.8133251822925	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	20400be1 81600ds1 30600p1 2040e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10200bb1

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
-	+	+	-1	5	-2	-	-1	2	9	-10	-9	-3	-4	-3	5	8	-14	-4	12	-15	10	-12	16	10

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Quadratic twists for elliptic curve 10200bb1

-4	8	-3	5
20400be1	81600ds1	30600p1	2040e1

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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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