manYPoints – Table of Curves with Many Points
Entry details for q =
47
1
= 47
, g =
6
Table
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Lower bound
N
min
= 120
Earlier entry
Submitted by
M. Q. Kawakita
Date
11-25-2013
Reference
Motoko Qiu Kawakita
Wiman’s and Edge’s sextic attaining Serre’s bound II
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Explicit curves
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Upper bound
N
max
= 123
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 + 10) * (x + 13)^5
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