| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4595453 | Journal of Number Theory | 2007 | 14 Pages |
Abstract
Let n⩾5 be an integer. We provide an effective method for finding all elliptic curves in short Weierstrass form E/Q with j(E)∈{0,1728} and all P∈E(Q) such that the nth term in the elliptic divisibility sequence defined by P over E fails to have a primitive divisor. In particular, we improve recent results of Everest, Mclaren, and Ward on the Zsigmondy bounds of elliptic divisibility sequences associated with congruent number curves.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
