The local root number of elliptic curves with wild ramification

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21 Citations (Scopus)


Let E be an elliptic curve over a number field F. The root number is conjecturally the sign of the functional equation of L-function of E/F. It is defined as the product of local signs over all places of F. The purpose of this paper is to describe this local sign by the coefficients of a Weierstraß equation of E.

Original languageEnglish
Pages (from-to)609-623
Number of pages15
JournalMathematische Annalen
Issue number3
Publication statusPublished - 2002
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics


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