Entry details for q = 135 = 371293, g = 5
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Lower bound Nmin = 377376

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^5 + r^351319*x^4 + r^342934*x^3 + r^138727*x^2 + r^357861*x, z^2 = x^5 + r^86637*x^4 + r^133106*x^3 + r^326867*x^2 + r^109168*x, where r^5 + 4*r + 11 = 0.
Tags Explicit curves

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Upper bound Nmax = 377384

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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