Computing the conductor involves computing the normalization, which is potentially expensive. If it is known in advance (as in the case of an ordinary multiple point) the user can insert it to avoid the computation.

- geometricGenus -- Geometric genus of a (singular) plane curve

- addition(...,Conductor=>...) -- see addition -- addition of smooth points on a curve of genus 1
- canonicalImage(...,Conductor=>...) -- see canonicalImage -- canonical model of the normalization of a plane curve
- canonicalSeries(...,Conductor=>...) -- see canonicalSeries -- Canonical series of the normalization of a plane curve
- geometricGenus(...,Conductor=>...) -- see geometricGenus -- Geometric genus of a (singular) plane curve
- linearSeries(...,Conductor=>...) -- see linearSeries -- compute a linear series
- negative(...,Conductor=>...) -- see negative -- implements the inverse in the group law of a curve of genus 1
- projectiveImage(...,Conductor=>...) -- see projectiveImage -- Projective image of the map defined by a divisor or matrix