manYPoints – Table of Curves with Many Points
Entry details for q =
89
1
= 89
, g =
10
Table
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Lower bound
N
min
= 246
Submitted by
M. Q. Kawakita
Date
05-14-2023
Reference
Annamaria Iezzi, Motoko Qiu Kawakita, and Marco Timpanella
New Sextics of Genus 6 and 10 Attaining the Serre Bound
Adv. Geom. 24(2024) 99–109
Comments
x^6+y^6+1+37*(x^4*y^2+x^2*y^4+x^4+x^2+y^4+y^2)+43*x^2*y^2=0
Tags
Explicit curves
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Upper bound
N
max
= 270
Later entry
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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