Statistics for Iwasawa Invariants of elliptic curves,
arXiv:2106.12095 · doi:10.1142/S1793042124500556
Abstract
We study the average behaviour of the Iwasawa invariants for Selmer groups of elliptic curves. These results lie at the intersection of arithmetic statistics and Iwasawa theory. We obtain unconditional lower bounds for the density of rational elliptic curves with prescribed Iwasawa invariants.
23 pages, minor changes. Accepted for publication in the International Journal of number theory