Entry details for q = 591 = 59, g = 6
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Lower bound Nmin = 132

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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Tags Explicit curves

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Upper bound Nmax = 147

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
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Obtained using version 1.0 of IsogenyClasses.magma, available at linked URL. A real Weil polynomial we don't know how to eliminate: (x + 12) * (x + 15)^5
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