Cremona's table of elliptic curves

100800 = 2⁶ · 3² · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7-	Signs for the Atkin-Lehner involutions
Class	100800js	Isogeny class
Conductor	100800	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	221184	Modular degree for the optimal curve
Δ	47250000000000 = 210 · 33 · 512 · 7	Discriminant
Eigenvalues	2- 3+ 5+ 7-  0 -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-13200,-481000]	[a1,a2,a3,a4,a6]
Generators	[265:3825:1]	Generators of the group modulo torsion
j	588791808/109375	j-invariant
L	6.5630834120001	L(r)(E,1)/r!
Ω	0.45112193162401	Real period
R	3.6370895206111	Regulator
r	1	Rank of the group of rational points
S	1.0000000018117	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	100800h1 25200cz1 100800jr3 20160cs1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 100800js1

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	-6	2	6	0	-2	2	6	4	0	-6	12	10	4	-12	4	-8	-12	6	-8

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Quadratic twists for elliptic curve 100800js1

-4	8	-3	5
100800h1	25200cz1	100800jr3	20160cs1

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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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