manYPoints – Table of Curves with Many Points
Entry details for q =
11
5
= 161051
, g =
7
Table
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Lower bound
N
min
= 166584
Earlier entry
Later entry
Submitted by
Everett Howe
Date
09-02-2016
Reference
Everett W. Howe
Curves of medium genus with many points
Finite Fields Appl. 47 (2017) 145–160
Comments
Explicit curve: y^2 = x^3 + r^154486*x^2 + r^65909*x, z^2 = 2*x^3 + r^139783*x^2 + r^104995*x + r^37520, w^2 = x^3 + r^17820*x^2 + r^156914*x, where r^5 + 10*r^2 + 9 = 0.
Tags
Explicit curves
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Upper bound
N
max
= 166666
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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