Congruent numbers and elliptic curves

Congruent numbers and elliptic curves

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Throughout this thesis we will be primarily concerned with the area of a rational right angle triangle, also known as a congruent number. The purpose of this thesis is to present a family of congruent number elliptic curves with rank at least three, as well as provide some insight into the distribu...

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Main Author: Johnstone, Jennifer Ann
Language:English
Published: University of British Columbia 2010
Online Access:http://hdl.handle.net/2429/26993
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spelling ndltd-UBC-oai-circle.library.ubc.ca-2429-269932018-01-05T17:24:24Z Congruent numbers and elliptic curves Johnstone, Jennifer Ann Throughout this thesis we will be primarily concerned with the area of a rational right angle triangle, also known as a congruent number. The purpose of this thesis is to present a family of congruent number elliptic curves with rank at least three, as well as provide some insight into the distribution of congruent numbers. We provide an in depth background on congruent numbers and elliptic curves, as well as an overview of one of the key methods that will be used in determining the rank of an elliptic curve. Irving K. Barber School of Arts and Sciences (Okanagan) Mathematics, Department of (Okanagan) Graduate 2010-07-29T15:27:39Z 2010-07-29T15:27:39Z 2010 2010-11 Text Thesis/Dissertation http://hdl.handle.net/2429/26993 eng Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ University of British Columbia
collection NDLTD
language English
sources NDLTD
description Throughout this thesis we will be primarily concerned with the area of a rational right angle triangle, also known as a congruent number. The purpose of this thesis is to present a family of congruent number elliptic curves with rank at least three, as well as provide some insight into the distribution of congruent numbers. We provide an in depth background on congruent numbers and elliptic curves, as well as an overview of one of the key methods that will be used in determining the rank of an elliptic curve. === Irving K. Barber School of Arts and Sciences (Okanagan) === Mathematics, Department of (Okanagan) === Graduate
author Johnstone, Jennifer Ann
spellingShingle Johnstone, Jennifer Ann
Congruent numbers and elliptic curves
author_facet Johnstone, Jennifer Ann
author_sort Johnstone, Jennifer Ann
title Congruent numbers and elliptic curves
title_short Congruent numbers and elliptic curves
title_full Congruent numbers and elliptic curves
title_fullStr Congruent numbers and elliptic curves
title_full_unstemmed Congruent numbers and elliptic curves
title_sort congruent numbers and elliptic curves
publisher University of British Columbia
publishDate 2010
url http://hdl.handle.net/2429/26993
work_keys_str_mv AT johnstonejenniferann congruentnumbersandellipticcurves
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