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	10200br	Isogeny class
Conductor	10200	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	11520	Modular degree for the optimal curve
Δ	-14343750000 = -1 · 24 · 33 · 59 · 17	Discriminant
Eigenvalues	2- 3- 5- -3 -1  0 17- -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-18208,-951787]	[a1,a2,a3,a4,a6]
Generators	[158:375:1]	Generators of the group modulo torsion
j	-21364083968/459	j-invariant
L	4.8621227353594	L(r)(E,1)/r!
Ω	0.20549509040347	Real period
R	1.9717108268512	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	20400s1 81600cd1 30600ba1 10200l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10200br1

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	-1	0	-	-1	0	7	2	1	-9	2	1	-11	10	-8	2	0	-1	10	-12	6	-10

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Quadratic twists for elliptic curve 10200br1

-4	8	-3	5
20400s1	81600cd1	30600ba1	10200l1

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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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