manYPoints – Table of Curves with Many Points
Entry details for q =
97
1
= 97
, g =
11
Table
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Lower bound
N
min
= 256
Submitted by
Everett Howe
Date
08-12-2025
Reference
Motoko Qiu Kawakita
Fibre products of three hyperelliptic curves with many points
preprint
Comments
Explicit curve: y^2 = (x-1)*(x-28)*(x-36), z^2 = 5*(x-4)*(x-28)*(x-36)*(x-44)*(x-68), w^2 = x*(x-4)*(x-44)*(x-82).
Tags
Explicit curves, Fibre products of hyperelliptic curves
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Upper bound
N
max
= 307
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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