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Congruent Elliptic Curves Over Some p-adic Lie Extensions

  • Dac-Nhan-Tam Nguyen,
  • Sujatha Ramdorai

摘要

Let p be an odd prime number. In this article, we study the variation of Iwasawa invariants among p-congruent elliptic curves over certain p-adic Lie extensions. We investigate both the classical Selmer group as well as the fine Selmer group.