manYPoints – Table of Curves with Many Points
Entry details for q =
11
3
= 1331
, g =
8
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Lower bound
N
min
= 1820
Later entry
Submitted by
thieyacinetop@yahoo.fr
Date
11-18-2016
Reference
Thiéyacine Top
Number of points on a family of curves over a finite field
arXiv:1610.02978 [math.NT]
Comments
y^2 =x^5 + x^4 + x^3 + 3*x^2 + 9*x + 4
z^2 = x^5 + 8*x^3 + 2*x^2 + 4*x
Tags
Methods from general class field theory
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Upper bound
N
max
= 1908
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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