Entry details for q = 891 = 89, g = 6
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Lower bound Nmin = 194

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 + 86, f2 = x^3 + 60*x^2 + 27, f3 = x^3 + 6*x^2 + 37*x + 56.
Tags Explicit curves

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Upper bound Nmax = 198

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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