manYPoints – Table of Curves with Many Points
Entry details for q = 73 = 343, g = 9
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Lower bound Nmin = 554

Submitted by M. Q. Kawakita
Date 04-13-2011
Reference Not available
Comments
y^19=x^2(1-x)
Tags Explicit curves

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Upper bound Nmax = 674

Submitted by Everett Howe
Date 06-30-2016
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
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)^8
Tags None

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