manYPoints – Table of Curves with Many Points
Entry details for q =
17
5
= 1419857
, g =
7
Table
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Lower bound
N
min
= 1436452
Earlier entry
Submitted by
Everett Howe
Date
04-10-2017
Reference
Not available
Comments
Explicit curve:
y^2 = x^3 + r^1144658*x^2 + r^597827*x
z^2 = 3*x^3 + r^1238924*x^2 + r^1069361*x + r^1125774
w^2 = x^3 + r^1158009*x^2 + r^158025*x
where r^5 + r + 14 = 0.
Tags
Explicit curves
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Upper bound
N
max
= 1436539
Submitted by
Everett Howe
Date
04-14-2010
Reference
Jean-Pierre Serre
Sur le nombre de points rationnels d'une courbe algébrique sur un corps fini
C. R. Acad. Sci. Paris Sér. I Math. 296 (1983), 397–402. (= Œuvres III, No. 128, 658–663).
Comments
The Hasse-Weil-Serre bound
Tags
Hasse-Weil-Serre bound
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