manYPoints – Table of Curves with Many Points
Entry details for q =
17
1
= 17
, g =
15
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Lower bound
N
min
= 88
Submitted by
thieyacinetop@yahoo.fr
Date
10-11-2016
Reference
Thiéyacine Top
Number of points on a family of curves over a finite field
arXiv:1610.02978 [math.NT]
Comments
y^2=x^3+x+8;
z^2=x^3+5*x;
w^2=x^4+6*x^3+11*x^2+7*x+15;
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Upper bound
N
max
= 118
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)^2 * (x + 7)^11 * (x^2 + 11*x + 25)
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