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Modular Forms and Elliptic Curves over the Field of Fifth Roots of Unity

โœ Scribed by Gunnells, Paul E.; Hajir, Farshid; Yasaki, Dan


Book ID
120987240
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
253 KB
Volume
22
Category
Article
ISSN
1058-6458

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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.