Entry details for q = 172 = 289, g = 11
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Lower bound Nmin = 524

Submitted by thieyacinetop@yahoo.fr
Date 10/18/2016
Reference Thiéyacine Top
Number of points on a family of curves over a finite field
arXiv:1610.02978 [math.NT]
Comments
y^2=(x + 2)*(x + 10)*(x^2 + 10)*(x^2 + 6)*(x^2 + 6*x + 3)
z^2=x^6-1
Tags Methods from general class field theory

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Upper bound Nmax = 664

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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