Ranks of GL2 Iwasawa modules of elliptic curves

Preprint, Other literature type English OPEN
Backhausz, Tibor;
(2013)
  • Publisher: Adam Mickiewicz University, Faculty of Mathematics and Computer Science
  • Journal: issn: 0208-6573
  • Related identifiers: doi: 10.7169/facm/2015.52.2.7
  • Subject: elliptic curve | 11G05 | 11R23 | Mathematics - Number Theory | division field
    arxiv: Mathematics::Number Theory

Let $p \ge 5$ be a prime and $E$ an elliptic curve without complex multiplication and let $K_\infty=\mathbb{Q}(E[p^\infty])$ be a pro-$p$ Galois extension over a number field $K$. We consider $X(E/\K_\infty)$, the Pontryagin dual of the $p$-Selmer group $Sel_{p^\infty}(... View more
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