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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/41658


    Title: The Selmer groups and the ambiguous ideal class groups of cubic fields
    Authors: 陳燕美;Chen, Yen-mei J.
    Contributors: 淡江大學數學學系
    Date: 1996-10-01
    Issue Date: 2010-01-28
    Publisher: Australian Mathematical Society
    Abstract: In this paper, we study a family of elliptic curves with CM by which also admits a ℚ-rational isogeny of degree 3. We find a relation between the Selmer groups of the elliptic curves and the ambiguous ideal class groups of certain cubic fields. We also find some bounds for the dimension of the 3-Selmer group over ℚ, whose upper bound is also an upper bound of the rank of the elliptic curve.
    Relation: Bulletin of the Australian Mathematical Society 54(2), pp.267-274
    DOI: 10.1017/S000497270001772X
    Appears in Collections:[數學學系暨研究所] 期刊論文

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