manYPoints – Table of Curves with Many Points
Entry details for q =
2
1
= 2
, g =
1
Table
About
Recent changes
References
Username
Password
Log in
Register
Lower bound
N
min
= 5
Submitted by
Gerrit Oomens
Date
01-01-1900
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
Tags
Formulas for N_q(1) and N_q(2)
User comments
Explicit Curve
M. Afzal Soomro
03-09-2010 18:22
This number of point is reached by the curve
y^2+y=x^3+x.
Upper bound
N
max
= 5
Earlier entry
Submitted by
Everett Howe
Date
04-27-2010
Reference
Helmut Hasse
Zur Theorie der abstrakten elliptischen Funktionenkörper III. Die Struktur des Meromorphismenrings. Die Riemannsche Vermutung
J. Reine Angew. Math. 175 (1936) 193–208.
Comments
Tags
Formulas for N_q(1) and N_q(2), Hasse-Weil-Serre bound
User comments
No comments have been made.