Entry details for q = 172 = 289, g = 13
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Lower bound Nmin = 612

Submitted by Everett Howe
Date 10/22/2016
Reference Thiéyacine Top
Number of points on a family of curves over a finite field
arXiv:1610.02978 [math.NT]
Comments
y^2 = (x + e^16)*(x + e^48)*(x + e^80)
z^2 = (x + e^112)*(x + 16)*(x + e^176)
w^2 = (x + e^208)*(x + e^240)*(x + e^272)
where e satisfies e^2+ 16*e +3
Tags Methods from general class field theory

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Upper bound Nmax = 732

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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