Entry details for q = 711 = 71, g = 6
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Lower bound Nmin = 160

Submitted by Everett Howe
Date 08/13/2016
Reference Everett W. Howe
Curves of medium genus with many points
arXiv:1609.01838 [math.NT]
Comments
Explicit curve: y^2 = f1*f2, z^2 = f1*f3, where f1 = x^2 + 64, f2 = 7*x^3 + 27*x^2 + 66*x + 34, f3 = x^3 + 31*x^2 + 7*x.
Tags Explicit curves

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Upper bound Nmax = 168

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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