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	10200i	Isogeny class
Conductor	10200	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	126720	Modular degree for the optimal curve
Δ	-1087904013750000 = -1 · 24 · 311 · 57 · 173	Discriminant
Eigenvalues	2+ 3+ 5+ -3  5  0 17- -1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2387008,-1418684363]	[a1,a2,a3,a4,a6]
j	-6016521998966814976/4351616055	j-invariant
L	1.4575293139419	L(r)(E,1)/r!
Ω	0.060730388080912	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	20400bi1 81600ea1 30600cg1 2040p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10200i1

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	5	0	-	-1	0	1	4	5	-3	0	7	-9	-6	-4	14	8	3	-2	0	-2	-14

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Quadratic twists for elliptic curve 10200i1

-4	8	-3	5
20400bi1	81600ea1	30600cg1	2040p1

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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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