Isogenies of Elliptic Curves Over Function Fields
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We prove two theorems concerning isogenies of elliptic curves over function fields. The first one describes the variation of the height of the j-invariant in an isogeny class. The second one is an “isogeny estimate,” providing an explicit bound on the degree of a minimal isogeny between two isogenous elliptic curves. We also give several corollaries of these two results.
Originalsprog | Engelsk |
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Tidsskrift | International Mathematics Research Notices |
Vol/bind | 2022 |
Udgave nummer | 19 |
Sider (fra-til) | 14697–14740 |
ISSN | 1073-7928 |
DOI | |
Status | Udgivet - 2022 |
Links
- https://arxiv.org/pdf/2005.02920.pdf
Indsendt manuskript
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