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Products of CM elliptic curves

โœ Scribed by Ernst Kani


Book ID
107700389
Publisher
Universitat de Barcelona
Year
2010
Tongue
Spanish
Weight
606 KB
Volume
62
Category
Article
ISSN
0010-0757

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๐Ÿ“œ SIMILAR VOLUMES


Modularity of CM elliptic curves over di
โœ Naoki Murabayashi ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 91 KB

Let E be a CM elliptic curve defined over an algebraic number field F . In general E will not be modular over F . In this paper, we determine extensions of F , contained in suitable division fields of E, over which E is modular. Under some weak assumptions on E, we construct a minimal subfield of di

On the field of definition for modularit
โœ Naoki Murabayashi ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 321 KB

The purpose of this paper is to decide the conditions under which a CM elliptic curve is modular over its field of definition.