manYPoints – Table of Curves with Many Points
Entry details for q = 53 = 125, g = 4
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Lower bound Nmin = 196

Submitted by M. Afzal Soomro
Date 01-24-2013
Reference Not available
Comments
Explicit curves: y^2=x^3+x+2, z^2=(x+2)^3+(x+2)+2.
Tags Explicit curves

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Upper bound Nmax = 211

Submitted by Everett Howe
Date 04-14-2010
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 + 19) * (x + 22)^3
Tags None

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