For every elliptic curve E which has complex multiplication (CM) and is defined over a
number field F containing the CM field K, we prove that the family of p∞-division fields of E …

This thesis studies the relations between special values of $ L $-functions of arithmetic
objects and heights, as well as the arithmetic of torsion points on elliptic curves with complex …

Arithmetic and diophantine properties of elliptic curves with complex multiplication Page 1
KØBENHAVNS UNIVERSITET INSTITUT FOR MATEMATISKE FAG PhD thesis Arithmetic and …

Whilst these and other successes constitute dramatic progress on problems of tremendous
historical importance, there has also been a divergence of methods and approaches, and …

Given elliptic curve E, we consider a family of field extension generated by n-torsion points
of E, called division fields. The main objective of this thesis is determine the behavior of …