Entry details for q = 135 = 371293, g = 7
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Lower bound Nmin = 379760

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 = x^3 + r^157049*x^2 + r^62944*x, z^2 = 2*x^3 + r^119419*x^2 + r^224597*x + r^27298, w^2 = 2*x^3 + r^14760*x^2 + r^85285*x, where r^5 + 4*r + 11 = 0.
Tags Explicit curves

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Upper bound Nmax = 379820

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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