manYPoints – Table of Curves with Many Points
Entry details for q =
11
5
= 161051
, g =
5
Table
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Lower bound
N
min
= 165062
Submitted by
M. Q. Kawakita
Date
06-27-2016
Reference
Motoko Qiu Kawakita
Some sextics of genera five and seven attaining the Serre bound
Arithmetic of finite fields (L. Budaghyan and F. Rodríguez-Henríques, eds.), Lecture Notes in Computer Science 11321, Springer, 2018, pp. 264-271
Comments
x^3*y^3+x^5+y^5+10*x^2*y^2+9*x*y+10=0
Tags
Explicit curves
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Upper bound
N
max
= 165062
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
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