Entry details for q = 831 = 83, g = 5
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Lower bound Nmin = 166

Submitted by Everett Howe
Date 08/12/2016
Reference Everett W. Howe
Curves of medium genus with many points
Finite Fields Appl. 47 (2017) 145–160
Comments
Explicit curve: y^2 = x^6 + 40*x^5 + 66*x^4 + 61*x^3 + 3*x^2 + 50*x + 73, z^2 = x^6 + 72*x^5 + 42*x^4 + 53*x^3 + 13*x^2 + 30*x + 38.
Tags Explicit curves

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Upper bound Nmax = 174

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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