Entry details for q = 73 = 343, g = 46
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Lower bound Nmin = 1512

Submitted by Felipe Voloch
Date 06/06/2016
Reference Jose Felipe Voloch, Michael Zieve
Rational points on some Fermat curves and surfaces over finite fields
International Journal of Number Theory, Vol. 10, No. 2 (2014) 319–325
Comments
Cover of x^6+y^6+1 given by z^3 = xy.
Tags Explicit curves

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Upper bound Nmax = 2041

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 + 37)^44 * (x^2 + 69*x + 1187)
Tags None

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