Geodesic
Behavior of Arithmetic Invariants for a~Class of Elliptic Curves in Cyclotomic $\Gamma$-Extensions
Matematičeskie trudy, Tome 8 (2005) no. 1, pp. 122-134

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We study the behavior of the main arithmetic invariants of elliptic curves with complex multiplication in cyclotomic $\Gamma$-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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     title = {Behavior of {Arithmetic} {Invariants} for {a~Class} of {Elliptic} {Curves} in {Cyclotomic} $\Gamma${-Extensions}},
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I. S. Rakhimov. Behavior of Arithmetic Invariants for a~Class of Elliptic Curves in Cyclotomic $\Gamma$-Extensions. Matematičeskie trudy, Tome 8 (2005) no. 1, pp. 122-134. http://geodesic.mathdoc.fr/item/MT_2005_8_1_a3/