Entry details for q = 72 = 49, g = 10
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Lower bound Nmin = 162

Submitted by S.E.Fischer
Date 02/24/2017
Reference Not available
Comments
A corresponding equation is given by
x^6 + y^6 + x^2*y^2 + 6 = 0.
Tags Explicit curves

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Upper bound Nmax = 186

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 + 10) * (x + 14)^9
Tags None

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