manYPoints – Table of Curves with Many Points
Entry details for q =
17
1
= 17
, g =
9
Table
About
Recent changes
References
Username
Password
Log in
Register
Lower bound
N
min
= 64
Submitted by
thieyacinetop@yahoo.fr
Date
10-14-2016
Reference
Thiéyacine Top
Number of points on a family of curves over a finite field
arXiv:1610.02978 [math.NT]
Comments
y^2=x^6 + 2*x^5 + 5*x^4 + 7*x^3 + 1
z^2=x^6 + 14*x^4 + 4*x^3 + 2*x + 4
Tags
Methods from general class field theory
User comments
No comments have been made.
Upper bound
N
max
= 83
Earlier entry
Submitted by
Everett Howe
Date
01-05-2012
Reference
Everett W. Howe, Kristin E. Lauter
New methods for bounding the number of points on curves over finite fields
Geometry and Arithmetic (C. Faber, G. Farkas, and R. de Jong, eds.), European Mathematical Society, 2012, pp. 173–212
Comments
A real Weil polynomial we don't know how to eliminate: (x + 1) * (x + 8)^8
Tags
None
User comments
No comments have been made.