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The Iwasawa invariants of the plus/minus Selmer groups. (English) Zbl 1268.11078

Summary: We study the Iwasawa \(\mu\)- and \(\lambda\)-invariants of the non-primitive plus/minus Selmer groups of elliptic curves for supersingular primes. We prove that they are constant for a family of elliptic curves with the same residual representation if the \(\mu\)-invariant of any of them is 0. As an application we find a family of elliptic curves whose plus/minus Selmer groups have arbitrarily large \(\lambda\)-invariants.

MSC:

11G05 Elliptic curves over global fields
11R23 Iwasawa theory
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