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	100800fb	Isogeny class
Conductor	100800	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	-411505920000000 = -1 · 214 · 38 · 57 · 72	Discriminant
Eigenvalues	2+ 3- 5+ 7-  2  4  2  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,17700,-362000]	[a1,a2,a3,a4,a6]
Generators	[90:-1400:1]	Generators of the group modulo torsion
j	3286064/2205	j-invariant
L	8.2718574593809	L(r)(E,1)/r!
Ω	0.3021311727482	Real period
R	0.85557390106041	Regulator
r	1	Rank of the group of rational points
S	0.99999999808709	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	100800ln2 6300n2 33600cx2 20160by2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 100800fb2

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
+	-	+	-	2	4	2	2	4	-2	-6	-6	-6	-4	0	-8	0	10	-12	14	-4	-8	-12	14	-8

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Quadratic twists for elliptic curve 100800fb2

-4	8	-3	5
100800ln2	6300n2	33600cx2	20160by2

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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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