manYPoints – Table of Curves with Many Points
Entry details for q = 172 = 289, g = 15
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Lower bound Nmin = 692

Submitted by S.E.Fischer
Date 02-24-2017
Reference Not available
Comments
A corresponding equation is given by
y^9 + x^5*y^5 + 2*x^4*y^4 + 3*x^3*y^3 + x^9 = 0.
Tags Explicit curves

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Upper bound Nmax = 800

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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