manYPoints – Table of Curves with Many Points
Entry details for q =
13
4
= 28561
, g =
5
Table
About
Recent changes
References
Username
Password
Log in
Register
Lower bound
N
min
= 30247
Earlier entry
Submitted by
S.E.Fischer
Date
11-02-2018
Reference
Not available
Comments
A corresponding equation can be given as
y^5 + r^10200*x^3*y^3 + r^170*x^2*y^2 + r^170*x*y + r^26010*x^5 + r^340 = 0,
where r is a root of the primitive polynomial
X^4 + 3*X^2 + 12*X + 2.
Tags
Explicit curves
User comments
No comments have been made.
Upper bound
N
max
= 30252
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.