The Selmer groups and the ambiguous ideal class groups of cubic fields

Yen Mei J. Chen

研究成果: 雜誌貢獻期刊論文同行評審

2 引文 斯高帕斯(Scopus)

摘要

In this paper, we study a family of elliptic curves with CM by ℚ(√-3) 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.

原文???core.languages.en_GB???
頁(從 - 到)267-274
頁數8
期刊Bulletin of the Australian Mathematical Society
54
發行號2
DOIs
出版狀態已出版 - 10月 1996

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