manYPoints – Table of Curves with Many Points
Entry details for q =
89
1
= 89
, g =
9
Table
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Lower bound
N
min
= 216
Submitted by
S.E.Fischer
Date
10-30-2016
Reference
Not available
Comments
x^4 + y^4 + 1 + 3*x^2*y^2 + 30*y^2 + 59*x^2 = 0
z^2 + 88*y^2 + x^2 + 1 = 0
Tags
Towers of curves with many points
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Upper bound
N
max
= 249
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 + 15) * (x + 18)^8
Tags
None
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