manYPoints – Table of Curves with Many Points
Entry details for q =
41
1
= 41
, g =
11
Table
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Lower bound
N
min
= 140
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-23)*(x-37), z^2 = 3*(x-16)*(x-23)*(x-37)*(x-10)*(x-14), w^2 = x*(x-16)*(x-10)*(x-39).
Tags
Fibre products of hyperelliptic curves, Explicit curves
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Upper bound
N
max
= 174
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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