Reduction and isogenies of elliptic curves

Research output: Working paperPreprintAcademic

7 Downloads (Pure)


Let $R$ be a complete discrete valuation ring with fraction field $K$ and perfect residue field $k$ of characteristic $p>0$. Let $E/K$ be an elliptic curve with a $K$-rational isogeny of prime degree $\ell$. In this article, we study the possible Kodaira types of reduction that $E/K$ can have. We also prove some related results for elliptic curves over $\mathbb{Q}$.
Original languageEnglish
Publication statusPublished - 24 Oct 2023


  • math.NT


Dive into the research topics of 'Reduction and isogenies of elliptic curves'. Together they form a unique fingerprint.

Cite this