Twisted Klein curves modulo 2

Details Twisted Klein curves modulo 2 Twisted Klein curves modulo 2

2003-02-13

arxiv.org/abs/math/0302154v1

Mathematics

Number Theory

14 pages

Scientific paper

We give an explicit description of all 168 quartic curves over the field of
two elements that are isomorphic to the Klein curve over an algebraic
extension. Some of the curves have been known for their small class number,
others for attaining the maximal number of rational points.

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