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	100800fq	Isogeny class
Conductor	100800	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	3629482214400000000 = 216 · 310 · 58 · 74	Discriminant
Eigenvalues	2+ 3- 5+ 7- -4 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-612300,160022000]	[a1,a2,a3,a4,a6]
Generators	[-554:18144:1]	Generators of the group modulo torsion
j	34008619684/4862025	j-invariant
L	6.3227515323604	L(r)(E,1)/r!
Ω	0.23953731222385	Real period
R	1.6497303343136	Regulator
r	1	Rank of the group of rational points
S	1.0000000015104	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	100800lw4 12600cb3 33600x4 20160cd3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 100800fq4

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	-2	2	4	0	-10	0	6	6	-4	-8	-6	-4	10	4	16	14	8	4	-10	-10

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Quadratic twists for elliptic curve 100800fq4

-4	8	-3	5
100800lw4	12600cb3	33600x4	20160cd3

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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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