manYPoints – Table of Curves with Many Points
Entry details for q =
97
1
= 97
, g =
5
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Lower bound
N
min
= 162
Later entry
Submitted by
S.E.Fischer
Date
05-19-2016
Reference
Not available
Comments
There are a lot of curves with 162 rational points. Take for example
F := y^2 + y + x^2 + x ;
E/F := z^4 + 8*x^2 + 25*x.
Tags
Explicit curves, Towers of curves with many points
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Upper bound
N
max
= 193
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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