manYPoints – Table of Curves with Many Points
Entry details for q =
13
2
= 169
, g =
11
Table
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Lower bound
N
min
= 372
Later entry
Submitted by
thieyacinetop@yahoo.fr
Date
10-27-2016
Reference
Thiéyacine Top
Number of points on a family of curves over a finite field
arXiv:1610.02978 [math.NT]
Comments
y^2=x^3 +4*x+7 ;
z^2=x^3 + 4*x^2 + 10*x + 7;
w^2=x^2+12*x+5;
Tags
Methods from general class field theory
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Upper bound
N
max
= 456
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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