manYPoints – Table of Curves with Many Points
Entry details for q =
53
1
= 53
, g =
8
Table
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Lower bound
N
min
= 142
Submitted by
thieyacinetop@yahoo.fr
Date
11-16-2016
Reference
Not available
Comments
y^2= x^5 + 43*x^4 + 44*x^3 + 47*x^2 + 2*x + 31
z^2= x^5 + 4*x^3 + 8*x^2 + x + 30
Tags
Methods from general class field theory
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Upper bound
N
max
= 166
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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