Entry details for q = 231 = 23, g = 7
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Lower bound Nmin = 76

Submitted by Everett Howe
Date 09-02-2016
Reference Everett W. Howe
Curves of medium genus with many points
Finite Fields Appl. 47 (2017) 145–160
Comments
Explicit curve: y^2 = 5*x^3 + 21*x^2 + 20*x, z^2 = x^3 + 14*x^2 + 11, w^2 = 5*x^3 + 2*x^2 + 17*x.
Tags Explicit curves

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Upper bound Nmax = 87

Submitted by Everett Howe
Date 04-14-2010
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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