The Group of Rational Points
In this chapter we will prove Mordell’s theorem that the group of rational points on a non-singular cubic is finitely generated. There is a tool used in the proof called the height. In brief, the height of a rational point measures how complicated the point is from the viewpoint of number theory.
KeywordsAbelian Group Rational Number Elliptic Curve Rational Point Quotient Group
Unable to display preview. Download preview PDF.