manYPoints – Table of Curves with Many Points
Entry details for q =
11
1
= 11
, g =
8
Table
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Lower bound
N
min
= 46
Earlier entry
Submitted by
Everett Howe
Date
10-04-2016
Reference
Thiéyacine Top
Number of points on a family of curves over a finite field
arXiv:1610.02978 [math.NT]
Comments
y^2 = x^5 + 4
z^2 = (x+1)^5 + 4
Tags
Explicit curves, Methods from general class field theory
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Upper bound
N
max
= 55
Earlier entry
Submitted by
Everett Howe
Date
04-14-2010
Reference
Angelika Köhnlein
Obere Schranken für die Punktenzahl von Kurven über endlichen Körpern
Diplomarbeit, Technische Universität Darmstadt, 4 December 2003.
Comments
A real Weil polynomial we don't know how to eliminate: (x + 6)^6 * (x^2 + 7*x + 11)
Tags
None
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