Entry details for q = 711 = 71, g = 8
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Lower bound Nmin = 174

Submitted by thieyacinetop@yahoo.fr
Date 11/17/2016
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 + 13*x^4 + 43*x^3 + 5*x^2 + 66*x + 50
z² = x^5 + 4
Tags Methods from general class field theory

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Upper bound Nmax = 200

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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