manYPoints – Table of Curves with Many Points
Entry details for q =
97
1
= 97
, g =
7
Table
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Lower bound
N
min
= 168
Later entry
Submitted by
Jaap Top
Date
01-20-2016
Reference
Jaap Top, Carlo Verschoor
Counting points on the Fricke-Macbeath curve over finite fields
Comments
A model of the Fricke-Macbeath curve
Tags
Explicit curves
User comments
Explicit Curve
S.E.Fischer
05-19-2016 10:48
There are a lot of curves with 198 rational points. For example, set
F := y^2 + x^3 + 2 and
E/F := z^3 + 2*x^3 + 35.
Upper bound
N
max
= 231
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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