User comments
Explicit Curve

S.E.Fischer
02/27/2015 15:07

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

Defining equation

Isabel Pirsic
06/18/2012 11:21

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


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