Entry details for q = 113 = 1331, g = 9
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Lower bound Nmin = 1800

Submitted by S.E.Fischer
Date 09/19/2019
Reference Not available
Comments
Reached by the curve
r^389*y^4 + (r^1175*x^2 + r^1175)*y^2 + r^389*x^4 + r^1175*x^2 + r^389 = 0,
z^2 + (1+ r^1)*x^2 + r^8*y^2 + 5 + r^8 = 0,
where r is a root of the primitive polynomial X^3+2*X+9=0.
Tags Towers of curves with many points

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Upper bound Nmax = 1980

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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