Determination of elliptic curves by their adjoint p-adic L-functions

Maria Monica Nastasescu*

*Corresponding author for this work

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

Fix p an odd prime. Let E be an elliptic curve over Q with semistable reduction at p. We show that the adjoint p-adic L-function of E evaluated at infinitely many integers prime to p completely determines up to a quadratic twist the isogeny class of E. To do this, we prove a result on the determination of isobaric representations of GL(3,AQ) by certain L-values of p-power twists.

Original languageEnglish (US)
Pages (from-to)156-181
Number of pages26
JournalJournal of Number Theory
Volume152
DOIs
StatePublished - Jul 1 2015

Keywords

  • Elliptic curve
  • L-function
  • P-adic L-function

ASJC Scopus subject areas

  • Algebra and Number Theory

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