Pearson, Jennifer (2024) On the rank of y^2 = x^3 + t^360 + 1 over Q(t). Bachelor's Thesis, Mathematics.
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Abstract
This paper considers the elliptic curve given by E360 : y2 = x3 + t360 + 1. It is a result from Tetsuji Shioda that the rank of E360 over Q(t) is equal to 68. This is the highest rank elliptic curve over a function field of characteristic 0 that we know of. In this paper we determine the rank of E360 over the field it is defined on, Q(t).
| Item Type: | Thesis (Bachelor's Thesis) |
|---|---|
| Supervisor name: | Top, J. and Salgado Guimaraes da Silva, C. |
| Degree programme: | Mathematics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 27 Nov 2024 09:48 |
| Last Modified: | 27 Nov 2024 09:48 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/34446 |
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