In this paper, we give a formula which describes the change of the *-invariant of the p-adic L-function of a modular elliptic curve in a p-extension of Abelian fields. This formula is an analogue of Kida's formula.
Academic Press
In this note, we exhibit some examples of elliptic curves whose Mordell-Weil ranks grow in lower layer of the cyclotomic Z p -extension over the rationals.
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