Entry details for q = 711 = 71, g = 7
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Lower bound Nmin = 176

Submitted by Everett Howe
Date 09-02-2016
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 + 12*x^4 + 49*x^2 + 6, z^2 = 7*x^6 + 26*x^4 + 47*x^2 + 42.
Tags Explicit curves

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Upper bound Nmax = 184

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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