Kolyvagin Derivatives of Modular Points on Elliptic Curves

Let E/Q and A/Q be elliptic curves. We can construct modular points derived from A via the modular parametrisation of E. With certain assumptions we can show that these points are of infinite order and are not divisible by a given prime p. We can also show that the group generated by these points is...

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Bibliographic Details
Main Author: Hatton, Richard
Format: Thesis (University of Nottingham only)
Language:English
Published: 2020
Subjects:
Online Access:https://eprints.nottingham.ac.uk/63443/