Entry details for q = 172 = 289, g = 37
Table About Recent changes References
Username
Password
Log in Register

Lower bound Nmin = 1224

Submitted by Everett Howe
Date 10/24/2021
Reference Rohit Gupta, Erik A. R. Mendoza, and Luciane Quoos
Reciprocal polynomials and curves with many points over a finite field
Comments
Explicit curve given by the two equations y^3 = (x^2 + 1)^2 / x^2 and z^6 = (x^2 + 3) * (3*x^2 + 1) / x^2.
Tags Explicit curves

User comments

No comments have been made.

Upper bound Nmax = 1548

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.