manYPoints – Table of Curves with Many Points
Entry details for q =
2
1
= 2
, g =
2
Table
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Lower bound
N
min
= 6
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
Defining equation
Isabel Pirsic
06-18-2012 11:17
E.g.,
y^2+(x^3+x+1)*y+x^5+x^4+x^3+x
Upper bound
N
max
= 6
Earlier entry
Submitted by
Everett Howe
Date
05-03-2010
Reference
Yasutaka Ihara
Some remarks on the number of rational points of algebraic curves
J. Fac. Sci. Univ. Tokyo Sect. IA Math. 28 (1981) 721–724 (1982)
Comments
The Ihara bound.
Tags
Ihara bound, Formulas for N_q(1) and N_q(2)
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