Assume we have a polynomial in two variables

sage: R.<x,y> = QQ[]
sage: p = R.random_element()

that we want to factor into irreducible factors. This can of course be done 
this way.

sage: factor(p)

But in the case where p is of high degree, it might not be feasible. Often 
it will useful to find just a few factors instead of the full 
factorization. specfically I am looking for factors that are algebraic 
curves of genus 0 and 1.

It is possible to find a partial factorization of polynomials in two 
variables with Sage?


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