FAMILIES OF ELLIPTIC CURVES OVER CUBIC NUMBER FIELDS WITH PRESCRIBED TORSION SUBGROUPS
- Title
- FAMILIES OF ELLIPTIC CURVES OVER CUBIC NUMBER FIELDS WITH PRESCRIBED TORSION SUBGROUPS
- Author
- 김창헌
- Keywords
- Elliptic curve; torsion; cubic number field; modular curve
- Issue Date
- 2011-03
- Publisher
- AMERICAN MATHEMATICAL SOCIETY
- Citation
- Mathematics of computation, Vol.80, No.273 [2011], pp.579-592
- Abstract
- 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 A. 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.
- URI
- http://www.jstor.org/journal/mathcomphttps://repository.hanyang.ac.kr/handle/20.500.11754/70286
- ISSN
- 0025-5718
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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