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Endomorphisms of degree 2,3 and 4 on elliptic curves

Reitsma, B (2017) Endomorphisms of degree 2,3 and 4 on elliptic curves. Bachelor's Thesis, Mathematics.

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Abstract

This manuscript gives an elementary approach to computing separable endomorphisms on elliptic curves that have degree 2, 3 and 4. Before doing so, all theory that is being used is introduced. The theory is developed using different perspectives on elliptic curves, varying from algebra to complex analysis, geometry and number theory. After having constructed such endomorphisms, we describe conditions for reduction modulo p for prime numbers p, which generates endomorphisms of degree 2, 3 and 4 on curves over finite fields Fp.

Item Type: Thesis (Bachelor's Thesis)
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 15 Feb 2018 08:31
Last Modified: 15 Feb 2018 08:31
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/15691

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