Entry details for q = 113 = 1331, g = 8
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Lower bound Nmin = 1820

Submitted by thieyacinetop@yahoo.fr
Date 11/18/2016
Reference Thiéyacine Top
Number of points on a family of curves over a finite field
arXiv:1610.02978 [math.NT]
Comments
y^2 =x^5 + x^4 + x^3 + 3*x^2 + 9*x + 4
z^2 = x^5 + 8*x^3 + 2*x^2 + 4*x
Tags Methods from general class field theory

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Upper bound Nmax = 1908

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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