Elliptic divisibility sequence, elliptic curve, rational point

Subject:

11G05

Abstract

Elliptic divisibility sequences are integer sequences related to the denominator of the first coordinate of the n-fold sum of a nontorsion rational point on an elliptic curve. Silverman and Stange recently studied those integers n dividing D_{n}, where {D_{n}} is an elliptic divisibility sequence. Here we discuss the distribution of these numbers n.