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 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).
Tags Formulas for N_q(1) and N_q(2)

User comments

Defining Equation     
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

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

Submitted by Everett Howe
Date 04/27/2010
Reference Helmut Hasse
Zur Theorie der abstrakten elliptischen Funktionenkörper III. Die Struktur des Meromorphismenrings. Die Riemannsche Vermutung
J. Reine Angew. Math. 175 (1936) 193–208.
Tags Hasse-Weil-Serre bound, Formulas for N_q(1) and N_q(2)

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