manYPoints – Table of Curves with Many Points
Entry details for q =
47
1
= 47
, g =
9
Table
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Lower bound
N
min
= 132
Submitted by
S.E.Fischer
Date
10-30-2016
Reference
Not available
Comments
x^4 + y^4 + 1 + x^2*y^2 + 11*y^2 + 31*x^2 = 0
z^2 + 35*y^2 + x^2 + 39 = 0
Tags
Towers of curves with many points
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Upper bound
N
max
= 165
Later entry
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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