manYPoints – Table of Curves with Many Points
Entry details for q =
17
3
= 4913
, g =
8
Table
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Lower bound
N
min
= 5892
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 + x^3 + x^2 + 8*x + 6
z^2 =x^5 + x^4 + 2*x^3 + 12*x^2 + 11*x + 15
Tags
Methods from general class field theory
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Upper bound
N
max
= 6032
Submitted by
Everett Howe
Date
04/14/2010
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
A real Weil polynomial we don't know how to eliminate: (x + 138) * (x + 140)^7
Tags
None
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