On The Rank Of Congruent Elliptic Curves

Farzali Izadi; Hamid Reza Abdolmaleki

On The Rank Of Congruent Elliptic Curves

Number Theory 2017-01-11 v1

Authors: Farzali Izadi , Hamid Reza Abdolmaleki

Abstract

In this paper, $p$ and $q$ are two different odd primes. First, We construct the congruent elliptic curves corresponding to $p$ , $2p$ , $pq$ , and $2pq,$ then, in the cases of congruent numbers, we determine the rank of the corresponding congruent elliptic curves.

Keywords

congruent elliptic curves rank congruent numbers odd primes

Cite

@article{arxiv.1701.02686,
  title  = {On The Rank Of Congruent Elliptic Curves},
  author = {Farzali Izadi and Hamid Reza Abdolmaleki},
  journal= {arXiv preprint arXiv:1701.02686},
  year   = {2017}
}

Comments

23 pages

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