manYPoints – Table of Curves with Many Points
Entry details for q = 24 = 16, g = 2
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Lower bound Nmin = 33

Submitted by Gerrit Oomens
Date 01-01-1900
Reference Jean-Pierre 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 Formulas for N_q(1) and N_q(2)

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Explicit Curve     
S.E.Fischer
12-08-2014 22:15
Consider the function field of the curve C given by the equation
C:= x^2*y^4 + x^4*y^2 + y^3 + y + 1 .
Upper bound Nmax = 33

Submitted by Everett Howe
Date 05-03-2010
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 Formulas for N_q(1) and N_q(2), Hasse-Weil-Serre bound

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