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Ramification in the division fields of an elliptic curve

✍ Scribed by Masanari Kida


Publisher
Vandenhoeck & Ruprecht
Year
2003
Tongue
German
Weight
596 KB
Volume
73
Category
Article
ISSN
0025-5858

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πŸ“œ SIMILAR VOLUMES


Modularity of CM elliptic curves over di
✍ Naoki Murabayashi πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 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