manYPoints – Table of Curves with Many Points
Entry details for q =
11
3
= 1331
, g =
9
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Lower bound
N
min
= 1800
Earlier entry
Later entry
Submitted by
S.E.Fischer
Date
09-19-2019
Reference
Not available
Comments
Reached by the curve
r^389*y^4 + (r^1175*x^2 + r^1175)*y^2 + r^389*x^4 + r^1175*x^2 + r^389 = 0,
z^2 + (1+ r^1)*x^2 + r^8*y^2 + 5 + r^8 = 0,
where r is a root of the primitive polynomial X^3+2*X+9=0.
Tags
Towers of curves with many points
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Upper bound
N
max
= 1980
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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