Local invariants of isogenous elliptic curves

Tim Dokchitser, Vladimir Dokchitser

Research output: Other contribution

Abstract

We investigate how various invariants of elliptic curves, such as the discriminant, Kodaira type, Tamagawa number and real and complex periods, change under an isogeny of prime degree p. For elliptic curves over l-adic fields, the classification is almost complete (the exception is wild potentially supersingular reduction when l=p), and is summarised in a table.
Original languageEnglish
TypearXiv
Media of outputPDF, text
Number of pages22
Publication statusPublished - 28 Oct 2013

Keywords

  • math.NT Number Theory
  • 11G07 (Primary) 11G05,11G40 (Secondary)

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