manYPoints – Table of Curves with Many Points
Entry details for q = 24 = 16, g = 1
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Lower bound Nmin = 25

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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Defining Equation     
S.E.Fischer
12-04-2014 03:16
Consider the function field of the curve C given by the equation
C := (x + y + x*y) * (2*x + 2*y + x*y) + 1 .
Explicit Curve     
M. Afzal Soomro
03-09-2010 18:33
This number of point is reached by the curve

y^2+y=x^3+a^3,
where a satisfies the Minimal polynomial X^4+X+1 in F_2[X].
Upper bound Nmax = 25

Submitted by Gerrit Oomens
Date 01-01-1900
Reference Jean-Pierre Serre
Rational points on curves over finite fields. With contributions by Everett Howe, Joseph Oesterlé and Christophe Ritzenthaler. Edited by Alp Bassa, Elisa Lorenzo García, Christophe Ritzenthaler and René Schoof
Documents Mathématiques 18, Société Mathématique de France, Paris, 2020
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