Entry details for q = 21 = 2, g = 12
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Lower bound Nmin = 14

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 Methods from general class field theory

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Upper bound Nmax = 15

Submitted by Everett Howe
Date 04/14/2010
Reference Jean-Pierre Serre
Rational points on curves over finite fields
Notes by Fernando Q. Gouvêa of lectures at Harvard University, 1985.
Comments
The Oesterlé bound. Here is a real Weil polynomial that we don't know how to eliminate: (x + 1)^2 * (x + 2)^2 * (x^2 - 2) * (x^2 + 2*x - 2)^3
Tags Oesterlé bound

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