On the torsion of elliptic curves over quartic number fields

Daeyeol Jeon, Chang Heon Kim, Euisung Park

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

We determine which groups ℤ/Mℤ⊕ℤ/Nℤ occur infinitely often as torsion groups E(K)tors when K varies over all quartic number fields and E varies over all elliptic curves over K.

Original languageEnglish
Pages (from-to)1-12
Number of pages12
JournalJournal of the London Mathematical Society
Volume74
Issue number1
DOIs
Publication statusPublished - 2006 Aug 1
Externally publishedYes

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Quartic
Number field
Elliptic Curves
Torsion
Vary

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On the torsion of elliptic curves over quartic number fields. / Jeon, Daeyeol; Kim, Chang Heon; Park, Euisung.

In: Journal of the London Mathematical Society, Vol. 74, No. 1, 01.08.2006, p. 1-12.

Research output: Contribution to journalArticle

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