Entry details for q = 134 = 28561, g = 31
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Lower bound Nmin = 36792

Submitted by Everett Howe
Date 10/24/2021
Reference Rohit Gupta, Erik A. R. Mendoza, and Luciane Quoos
Reciprocal polynomials and curves with many points over a finite field
Comments
Explicit curve: y^12 = x^3 * (x^3 + u^23) / (u^23*x^3 + 1), where u satisfies u^2 + 12*u + 2 = 0.
Tags Explicit curves

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Upper bound Nmax = 39040

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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