manYPoints – Table of Curves with Many Points
Entry details for q =
13
4
= 28561
, g =
10
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Lower bound
N
min
= 31722
Later entry
Submitted by
S.E.Fischer
Date
06-28-2017
Reference
Not available
Comments
An explicit curve is given by the equation
x^3*y^3 + x^5 + y^5 + 8*x^2*y^2 + 11*x*y + 2 = 0.
Tags
Explicit curves
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Upper bound
N
max
= 31942
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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