manYPoints – Table of Curves with Many Points
Entry details for q =
7
3
= 343
, g =
46
Table
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Lower bound
N
min
= 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
N
max
= 2041
Earlier entry
Submitted by
Everett Howe
Date
06-16-2016
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 + 37)^44 * (x^2 + 69*x + 1187)
Tags
None
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