Submitted by 
Gerrit Oomens 
Date 
01011900 
Reference 
JeanPierre Serre Letter to G. van der Geer September 1, 1997.

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Tags 
Methods from general class field theory 
User comments
Explicit Curve

S.E.Fischer
12192014 23:31

We can assume such a curve C as an extension E of degree 2 of a curve F of genus 4 as follows:
F := y^4 + (x+1)*y^2 + (x^3+x)*y +x^7+x^3 ;
E/F := z^2 + z + x*y .

Defining equation

Isabel Pirsic
06182012 13:02

y^8 +
(x^3 + x^2 + 1)*y^4 +
(x^6 + x^4 + x^3 + x^2)*y^2 +
(x^6 + x^4)*y +
x^11 + x^7


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