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    Title      l  Families of elliptic curves over cubic number fields with prescribed torsion subgroups
    Author   l  Daeyeol Jeon, Chang Heon Kim and Yoonjin Lee
    Date   l  2009-10-05
    Category   l  ASARC-Preprint-09-35
    Download    l 1254723887_0.377469.pdf  
In this paper we construct infinite families of elliptic curves with given
torsion group structures over cubic number fields. This result provides explicit
examples of the theoretical result recently developed by the first two authors and
Schweizer; they determined all the group structures which occur infinitely often
as the torsion of elliptic curves over cubic number fields. In fact, this paper presents
an efficient way of constructing such families of elliptic curves with prescribed torsion
group structures over cubic number fields.

Keyword

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