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Deg2 Extension

S.E.Fischer
12/07/2014 03:29

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

Defining equation

Isabel Pirsic
06/18/2012 11:19

E.g.,
y4([0],[1,0],[3,1],[7,3]) =
y^4 + (x+1)*y^2 + (x^3+x)*y +x^7+x^3


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