manYPoints – Table of Curves with Many Points
Entry details for q = 32 = 9, g = 3
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Lower bound Nmin = 28

Submitted by Gerrit Oomens
Date 01/01/1900
Reference J-P. Serre
Nombre de points des courbes algébriques sur F_q
Sém. de Théorie des Nombres de Bordeaux, 1982/83, exp. no. 22. (= Oeuvres III, No. 129, p. 664-668).
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Tags Explicit curves

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Explicit example     
Everett Howe
05/20/2010 22:17
In his Harvard notes, Serre observes that the Klein quartic
x^4 + y^4 + z^4 = 0
has 28 points over F_9.
Upper bound Nmax = 28

Submitted by Everett Howe
Date 06/10/2010
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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