Algorithmic Number Theory, 2004, p.250-262
2004
Details
- Autor(en) / Beteiligte
- Titel
- Stable Models of Elliptic Curves, Ring Class Fields, and Complex Multiplication
- Ist Teil von
- Algorithmic Number Theory, 2004, p.250-262
- Ort / Verlag
- Berlin, Heidelberg: Springer Berlin Heidelberg
- Erscheinungsjahr
- 2004
- Link zum Volltext
- Quelle
- Alma/SFX Local Collection
- Beschreibungen/Notizen
- We introduce a new model for elliptic curves over rings of odd characteristic, and study its properties and its utility in numerical computations. They turn to be particularly interesting for elliptic curves with complex multiplication, for which they provide very simple stable equations. The invariants associated to these models allow an easy construction of ring class fields of certain imaginary quadratic orders, with interesting theoretical consequences and practical utility in numerical computations.
- Sprache
- Englisch
- Identifikatoren
- ISBN: 9783540221562, 3540221565ISSN: 0302-9743eISSN: 1611-3349DOI: 10.1007/978-3-540-24847-7_18Titel-ID: cdi_pascalfrancis_primary_15852084
- Format
- –
- Schlagworte
- Algebra, Applied sciences, Class Number, Computer science, control theory, systems, Cryptography, Elliptic Curf, Elliptic Curve, Exact sciences and technology, Information, signal and communications theory, Mathematics, Memory and file management (including protection and security), Memory organisation. Data processing, Modular Function, Number theory, Sciences and techniques of general use, Signal and communications theory, Software, Stable Model, Telecommunications and information theory