Entry details for q = 831 = 83, g = 10
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Lower bound Nmin = 216

Submitted by M. Q. Kawakita
Date 05-14-2023
Reference Annamaria Iezzi, Motoko Qiu Kawakita, and Marco Timpanella
New Sextics of Genus 6 and 10 Attaining the Serre Bound
Adv. Geom. 24(2024) 99–109
Comments
x^6+y^6+1+13*(x^4*y^2+x^2*y^4+x^4+x^2+y^4+y^2)+79*x^2*y^2=0
Tags Explicit curves

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Upper bound Nmax = 264

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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