On the torsion of elliptic curves over quartic number fields

Daeyeol Jeon; Chang Heon Kim; Euisung Park

doi:10.1112/S0024610706022940

On the torsion of elliptic curves over quartic number fields

Daeyeol Jeon, Chang Heon Kim, Euisung Park

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

38 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 language	English
Pages (from-to)	1-12
Number of pages	12
Journal	Journal of the London Mathematical Society
Volume	74
Issue number	1
DOIs	https://doi.org/10.1112/S0024610706022940
Publication status	Published - 2006 Aug

ASJC Scopus subject areas

Mathematics(all)

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10.1112/S0024610706022940

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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.",

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On the torsion of elliptic curves over quartic number fields

Abstract

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