Submitted by 
Gerrit Oomens 
Date 
01/01/1900 
Reference 
H. Niederreiter, C. P. Xing Cyclotomic function fields, Hilbert class fields and global function fields with many rational places Acta Arithm. 79 (1997), p. 5976.

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Tags 
Methods from general class field theory 
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User comments
Restrictions on curve

Everett Howe
05/04/2010 00:36

In fact, the real Weil polynomial listed above is the *only* possibility for a curve with 24 points. Also, if there is a curve with this real Weil polynomial, it must have a degree3 map to the unique elliptic curve with 8 points.
All this can be deduced from the Magma package IsogenyClasses.magma, found at http://alumnus.caltech.edu/~however/Magma/IsogenyClasses.magma

