Entry details for q = 55 = 3125, g = 5
Table About Recent changes References
Username
Password
Log in Register

Lower bound Nmin = 3664

Submitted by Everett Howe
Date 08/12/2016
Reference Everett W. Howe
Curves of medium genus with many points
arXiv:1609.01838 [math.NT]
Comments
Explicit curve: y^2 = r*x^5 + r^927*x^3 + r^2281*x, z^2 = x^5 + r^2032*x^3 + r^1304*x, where r^5 + 4*r + 3 = 0.
Tags Explicit curves

User comments

No comments have been made.

Upper bound Nmax = 3681

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.