Entry details for q = 175 = 1419857, g = 7
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Lower bound Nmin = 1436392

Submitted by Everett Howe
Date 09/02/2016
Reference Everett W. Howe
Curves of medium genus with many points
arXiv:1609.01838 [math.NT]
Comments
Explicit curve: y^2 = 3*x^3 + r^527577*x^2 + r^257146*x, z^2 = 3*x^3 + r^962599*x^2 + r^1169965*x + r^276440, w^2 = x^3 + r^1104066*x^2 + r^1163110*x, where r^5 + r + 14 = 0.
Tags Explicit curves

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Upper bound Nmax = 1436539

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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