Javascript must be enabled for the correct page display

The rank of elliptic curves of the form E_AB: y^2=x^3+A(x-B)^2

Timmeren, L. van (2015) The rank of elliptic curves of the form E_AB: y^2=x^3+A(x-B)^2. Master's Thesis / Essay, Mathematics.

Main.pdf - Published Version

Download (712kB) | Preview
[img] Text
Toestemming1.pdf - Other
Restricted to Registered users only

Download (45kB)


In this thesis we study the group of rational points on elliptic curves E, having the special property that the multiplication by 3-map factors as a product of two isogenies of degree three. We compute the rank of the group of rational points on E. A computer program implementing this will be explained. We present examples of families of such elliptic curves with a higher rank, and we specialize in order to find even higher rank examples over the rational numbers.

Item Type: Thesis (Master's Thesis / Essay)
Degree programme: Mathematics
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 15 Feb 2018 08:05
Last Modified: 15 Feb 2018 08:05

Actions (login required)

View Item View Item