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On CM elliptic curves and the cyclotomic λ-invariants of imaginary quadratic fields.
- Source :
-
Journal of Number Theory . Mar2024, Vol. 256, p160-169. 10p. - Publication Year :
- 2024
-
Abstract
- Let K be an imaginary quadratic field, and fix an odd prime p that does not divide the class number of K , and is excluded from a finite set of primes depending on K. In this paper we prove that Iwasawa's λ -invariant for the cyclotomic Z p -extension of K is greater than 1 if and only if the number of points on a certain reduced elliptic curve is divisible by p 2. [ABSTRACT FROM AUTHOR]
- Subjects :
- *QUADRATIC fields
*CYCLOTOMIC fields
*ELLIPTIC curves
*RATIONAL points (Geometry)
Subjects
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 256
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 173974811
- Full Text :
- https://doi.org/10.1016/j.jnt.2023.09.011