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On Modular Elliptic Curves

โœ Scribed by D.J. Lorenzini


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
136 KB
Volume
44
Category
Article
ISSN
0022-314X

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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.

Two theorems on modular curves
โœ V. G. Drinfel'd ๐Ÿ“‚ Article ๐Ÿ“… 1973 ๐Ÿ› Springer US ๐ŸŒ English โš– 116 KB