Entry details for q = 591 = 59, g = 5
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Lower bound Nmin = 128

Submitted by Everett Howe
Date 08/12/2016
Reference Everett W. Howe
Curves of medium genus with many points
arXiv:1609.01838 [math.NT]
Comments
Explicit curve: y^2 = x^6 + 7*x^4 + 7*x^2 + 1, z^2 = x^6 + 20*x^5 + 36*x^4 + 19*x^3 + 42*x^2 + 58*x + 7.
Tags Explicit curves

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Upper bound Nmax = 135

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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