Entry details for q = 73 = 343, g = 6
Table About Recent changes References
Username
Password
Log in Register

Lower bound Nmin = 550

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^2 + 4, f2 = x^3 + r^56*x^2 + r^68*x + r^194, f3 = x^3 + r^131*x^2 + r^257*x + 1, and where r^3 + 6*r^2 + 4 = 0.
Tags Explicit curves

User comments

No comments have been made.

Upper bound Nmax = 566

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.