manYPoints – Table of Curves with Many Points
Entry details for q =
19
2
= 361
, g =
29
Table
About
Recent changes
References
Username
Password
Log in
Register
Lower bound
N
min
= 1156
Submitted by
Everett Howe
Date
10/24/2021
Reference
Rohit Gupta, Erik A. R. Mendoza, Luciane Quoos
Reciprocal polynomials and curves with many points over a finite field
Comments
Explicit curve: y^18 = x^6 * (x^2 + 2) / (2*x^2 + 1).
Tags
Explicit curves
User comments
No comments have been made.
Upper bound
N
max
= 1464
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.