On the Iwasawa invariants of elliptic curves

Details On the Iwasawa invariants of elliptic curves On the Iwasawa invariants of elliptic curves

1999-06-19

arxiv.org/abs/math/9906215v1

Mathematics

Number Theory

Abstract added in migration (taken from Greenberg's web site)

Scientific paper

10.1007/s002220000080

Let p be an odd prime. Suppose that E is a modular elliptic curve/Q with good ordinary reduction at p. Let Q_{oo} denote the cyclotomic Z_p-extension of Q. It is conjectured that Sel_E(Q_{oo}) is a cotorsion Lambda-module and that its characteristic ideal is related to the p-adic L-function associated to E. Under certain hypotheses we prove that the validity of these conjectures is preserved by congruences between the Fourier expansions of the associated modular forms.

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