Entry details for q = 471 = 47, g = 9
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Lower bound Nmin = 132

Submitted by S.E.Fischer
Date 10/30/2016
Reference Not available
Comments
x^4 + y^4 + 1 + x^2*y^2 + 11*y^2 + 31*x^2 = 0
z^2 + 35*y^2 + x^2 + 39 = 0
Tags Towers of curves with many points

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Upper bound Nmax = 162

Submitted by Everett Howe
Date 06/16/2016
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 + 10) * (x + 13)^8
Tags None

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