Entry details for q = 195 = 2476099, g = 6
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Lower bound Nmin = 2494964

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 + 17, f2 = x^3 + r^824161*x^2 + r^2285047*x + r^391580, f3 = 2*x^3 + r^6822*x^2 + r^1263806*x + r^1031258, and where r^5 + 5*r + 17 = 0.
Tags Explicit curves

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Upper bound Nmax = 2494982

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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