Archimedean local height differences on elliptic curves

Jan Steffen Müller, Corinna Stumpe

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Abstract

To compute generators for the Mordell-Weil group of an elliptic curve over a number field, one needs to bound the difference between the naive and the canonical height from above. We give an elementary and fast method to compute an upper bound for the local contribution to this difference at an archimedean place, which often gives better results than previous algorithms.
Original languageEnglish
Pages (from-to)293-303
Number of pages11
JournalActa Arithmetica
Volume190
Issue number3
DOIs
Publication statusPublished - 5-Jul-2019

Keywords

  • CANONICAL HEIGHTS
  • WEIL HEIGHT
  • BOUNDS

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