manYPoints – Table of Curves with Many Points
Entry details for q =
19
3
= 6859
, g =
8
Table
About
Recent changes
References
Username
Password
Log in
Register
Lower bound
N
min
= 8018
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^2 + 10*x + 1
z^2 = x^5 + 5*x^3 + 5*x + 8
Tags
Methods from general class field theory
User comments
No comments have been made.
Upper bound
N
max
= 8180
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
User comments
No comments have been made.