Entry details for q = 195 = 2476099, g = 7
Table About Recent changes References
Username
Password
Log in Register

Lower bound Nmin = 2498052

Submitted by Everett Howe
Date 04/04/2017
Reference Everett W. Howe
Curves of medium genus with many points
arXiv:1609.01838 [math.NT]
Comments
Explicit curve:

y^2 = 2*x^3 + r^1369457*x^2 + r^537343*x
z^2 = 2*x^3 + r^944216*x^2 + r^1918843*x + r^790050
w^2 = 2*x^3 + r^1174303*x^2 + r^534223*x

where r^5 + 5*r + 17 = 0.
Tags Explicit curves

User comments

No comments have been made.

Upper bound Nmax = 2498129

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.