A METHOD FOR CONSTRUCTION OF RATIONAL POINTS OVER ELLIPTIC CURVES

Kirti Joshi

A METHOD FOR CONSTRUCTION OF RATIONAL POINTS OVER ELLIPTIC CURVES

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Journal	Unknown Journal
State	Published - May 21 2017

ASJC Scopus subject areas

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title = "A METHOD FOR CONSTRUCTION OF RATIONAL POINTS OVER ELLIPTIC CURVES",

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.",

author = "Kirti Joshi",

year = "2017",

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day = "21",

language = "English (US)",

journal = "Nuclear Physics A",

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