### Abstract

Let E be an elliptic curve defined over Q with complex multiplication by the ring of integers of an imaginary quadratic field K. We apply an elliptic unit version of Ichimura-Sumida criterion for the Z_{p}-extension F∞/F associated to E and try to determine the characteristic polynomial of the maximal unramified abelian p-extension of F∞.

Original language | English |
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Pages (from-to) | 541-550 |

Number of pages | 10 |

Journal | Mathematical Proceedings of the Cambridge Philosophical Society |

Volume | 137 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2004 Nov |

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Fukuda, T., & Komatsu, K. (2004). ℤ

_{p}-extensions associated to elliptic curves with complex multiplication.*Mathematical Proceedings of the Cambridge Philosophical Society*,*137*(3), 541-550. https://doi.org/10.1017/S0305004104007959