Behavior of Arithmetic Invariants for a~Class of Elliptic Curves in Cyclotomic $\mathrm{\Gamma }$-Extensions

I. S. Rakhimov

Matematičeskie trudy, Tome 8 (2005) no. 1, pp. 122-134.

Résumé

We study the behavior of the main arithmetic invariants of elliptic curves with complex multiplication in cyclotomic $\mathrm{\Gamma }$-extensions. We consider the curves of CM-type which are defined over the field of rational numbers and possess nondegenerate nonsupersingular reduction modulo a prime $p$, where $p\ne 2$.

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