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JOURNALS // Matematicheskie Trudy // Archive
Mat. Tr., 2003 Volume 6, Number 1, Pages 155–168 (Mi mt87)
This article is cited in 1 paper

Arithmetic Invariants for a Class of Elliptic Curves

I. S. Rakhimov

National University of Uzbekistan named after M. Ulugbek

Abstract: We study the main arithmetic invariants of elliptic curves with complex multiplication. These curves are defined over the field of rational numbers and possess nondegenerate nonsupersingular reduction.

Key words: elliptic curve, arithmetic invariants, definition field, the Selmer group, localization.

UDC: 512.7

Received: 19.11.2001


 English version: Siberian Advances in Mathematics, 2004, 14:2, 79–91

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© Steklov Math. Inst. of RAS, 2024