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	100800ks	Isogeny class
Conductor	100800	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	3594240	Modular degree for the optimal curve
Δ	-1.155790798848E+20	Discriminant
Eigenvalues	2- 3+ 5- 7-  4  3 -7 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,580500,-488430000]	[a1,a2,a3,a4,a6]
j	10733445/57344	j-invariant
L	3.0033138319729	L(r)(E,1)/r!
Ω	0.093853547673157	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	100800ca1 25200dn1 100800ku1 100800jb1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 100800ks1

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
-	+	-	-	4	3	-7	-6	9	-3	7	10	-1	13	-2	-1	-11	-13	0	-8	8	-4	-7	-14	8

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Quadratic twists for elliptic curve 100800ks1

-4	8	-3	5
100800ca1	25200dn1	100800ku1	100800jb1

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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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