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.
|頁（從 - 到）||267-274|
|期刊||Bulletin of the Australian Mathematical Society|
|出版狀態||已出版 - 10月 1996|