manYPoints – Table of Curves with Many Points
Entry details for q =
89
1
= 89
, g =
5
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Lower bound
N
min
= 142
Earlier entry
Later entry
Submitted by
S.E.Fischer
Date
05-19-2016
Reference
Not available
Comments
There is a curve with 142 rational points. Set
F := y^2 + y + x^2 + x and
E/F := z^4 + 5*x^3 + 24*x^2.
Tags
Explicit curves, Towers of curves with many points
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Upper bound
N
max
= 180
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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