- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- UBC Theses and Dissertations /
- On the integral points of elliptic curves
Open Collections
UBC Theses and Dissertations
UBC Theses and Dissertations
On the integral points of elliptic curves Bao, Zhengheng
Abstract
In this thesis, we focus on developing and implementing algorithms to find integral points on elliptic curves and generating useful data, based on Mordell's correspondence between integral points on elliptic curves and binary quartic forms, and existing algorithms to solve Thue equations arising from this algorithm. We then generate data of integral points for all elliptic curves up to some height, and summarize the average number of integral points and curves with many integral points or large integral points.
Item Metadata
| Title |
On the integral points of elliptic curves
|
| Creator | |
| Supervisor | |
| Publisher |
University of British Columbia
|
| Date Issued |
2025
|
| Description |
In this thesis, we focus on developing and implementing algorithms to find integral points on elliptic curves and generating useful data, based on Mordell's correspondence between integral points on elliptic curves and binary quartic forms, and existing algorithms to solve Thue equations arising from this algorithm. We then generate data of integral points for all elliptic curves up to some height, and summarize the average number of integral points and curves with many integral points or large integral points.
|
| Genre | |
| Type | |
| Language |
eng
|
| Date Available |
2025-04-24
|
| Provider |
Vancouver : University of British Columbia Library
|
| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
| DOI |
10.14288/1.0448555
|
| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
|
| Graduation Date |
2025-05
|
| Campus | |
| Scholarly Level |
Graduate
|
| Rights URI | |
| Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International