A METHOD FOR CONSTRUCTION OF RATIONAL POINTS OVER ELLIPTIC CURVES

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Abstract

I provide a systematic construction of points (defined over a large number fields) on the Legendre curve over Q: for any odd integer n ≥ 3 my method constructs n points on the Legendre curve and I show that rank of the subgroup of the Mordell-Weil group they generate is n if n ≥ 7. I also show that every elliptic curve over any number field admits similar type of points after a finite base extension.

Original languageEnglish (US)
JournalUnknown Journal
StatePublished - May 21 2017

ASJC Scopus subject areas

  • General

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