manYPoints – Table of Curves with Many Points
Entry details for q =
17
2
= 289
, g =
21
Table
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Lower bound
N
min
= 808
Later entry
Submitted by
Everett Howe
Date
10-24-2021
Reference
Rohit Gupta, Erik A. R. Mendoza, Luciane Quoos
Reciprocal polynomials and curves with many points over a finite field
Comments
Explicit curve given by the two equations y^4 = x * (x + 3) / (3*x + 1) and z^4 = x * (x + 8) / (8*x + 1).
Tags
Explicit curves
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Upper bound
N
max
= 1004
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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