English

A point of order 8

General Mathematics 2011-10-30 v1

Abstract

A formula expressing a point of order 8 on an elliptic curve, in terms of the roots of the associated cubic polynomial, is given. Doubling such a point yields a point of order 4 distinct from the well-known points of order 4 given in standard references such as "A course of Modern Analysis" by Whittaker and Watson.

Keywords

Cite

@article{arxiv.1110.0357,
  title  = {A point of order 8},
  author = {Semjon Adlaj},
  journal= {arXiv preprint arXiv:1110.0357},
  year   = {2011}
}

Comments

2 pages

R2 v1 2026-06-21T19:14:12.363Z