Wiersema, Laurens (2023) Elliptic curves with Q-rational points of order n. Bachelor's Thesis, Mathematics.
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Abstract
We give an overview of the basic concepts of elliptic curves. We use the Tate normal form of the equation of an elliptic curve to classify all elliptic curves over Q with a rational torsion point of given order greater than 3 up to isomorphism. We give the definition of the division polynomials and look at their uses in the context of elliptic curves. We give a proof of the non-existence of an elliptic curve over Q with a rational torsion point of order 11.
| Item Type: | Thesis (Bachelor's Thesis) |
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| Supervisor name: | Kilicer, P. and Top, J. |
| Degree programme: | Mathematics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 10 Jul 2023 12:16 |
| Last Modified: | 10 Jul 2023 12:16 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/30431 |
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