Entry details for q = 173 = 4913, g = 8
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Lower bound Nmin = 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 Nmax = 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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