manYPoints – Table of Curves with Many Points
Entry details for q =
17
2
= 289
, g =
11
Table
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Lower bound
N
min
= 524
Later entry
Submitted by
thieyacinetop@yahoo.fr
Date
10-18-2016
Reference
Thiéyacine Top
Number of points on a family of curves over a finite field
arXiv:1610.02978 [math.NT]
Comments
y^2=(x + 2)*(x + 10)*(x^2 + 10)*(x^2 + 6)*(x^2 + 6*x + 3)
z^2=x^6-1
Tags
Methods from general class field theory
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Upper bound
N
max
= 664
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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