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Congruent numbers and elliptic curves

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Title: Congruent numbers and elliptic curves
Author: Johnstone, Jennifer Ann
Degree Master of Science - MSc
Program Mathematics
Copyright Date: 2010
Publicly Available in cIRcle 2010-07-29
Abstract: 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.
URI: http://hdl.handle.net/2429/26993
Scholarly Level: Graduate

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