manYPoints – Table of Curves with Many Points
Entry details for q =
7
3
= 343
, g =
8
Table
About
Recent changes
References
Username
Password
Log in
Register
Lower bound
N
min
= 580
Submitted by
thieyacinetop@yahoo.fr
Date
11/18/2016
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*x^3 + 6*x^2 + 3*x + 1
z^2 = x^5 + 2*x^4 + 3*x^3 + 2*x + 5
Tags
Methods from general class field theory
User comments
No comments have been made.
Upper bound
N
max
= 637
Earlier entry
Submitted by
Everett Howe
Date
06/30/2016
Reference
Everett W. Howe and 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
Obtained using version 1.0 of IsogenyClasses.magma, available at linked URL. A real Weil polynomial we don't know how to eliminate: (x + 34) * (x + 37)^7
Tags
None
User comments
No comments have been made.