Entry details for q = 971 = 97, g = 5
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Lower bound Nmin = 162

Submitted by S.E.Fischer
Date 05-19-2016
Reference Not available
Comments
There are a lot of curves with 162 rational points. Take for example
F := y^2 + y + x^2 + x ;
E/F := z^4 + 8*x^2 + 25*x.
Tags Explicit curves, Towers of curves with many points

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Upper bound Nmax = 193

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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