manYPoints – Table of Curves with Many Points
Entry details for q =
11
4
= 14641
, g =
6
Table
About
Recent changes
References
Username
Password
Log in
Register
Lower bound
N
min
= 16088
Earlier entry
Submitted by
Everett Howe
Date
08-13-2016
Reference
Everett W. Howe
Curves of medium genus with many points
Finite Fields Appl. 47 (2017) 145–160
Comments
Explicit curve: y^2 = f1*f2, z^2 = f1*f3, where f1 = x^3 + 2*x + 2, f2 = x^3 + x^2 + x + 9, f3 = x^3 + 3*x + 5.
Tags
Explicit curves
User comments
No comments have been made.
Upper bound
N
max
= 16094
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.