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Singular units and isogenies between CM elliptic curves.
- Source :
-
Compositio Mathematica . May2021, Vol. 157 Issue 5, p1022-1035. 14p. - Publication Year :
- 2021
-
Abstract
- In this note, we will apply the results of Gross–Zagier, Gross–Kohnen–Zagier and their generalizations to give a short proof that the differences of singular moduli are not units. As a consequence, we obtain a result on isogenies between reductions of CM elliptic curves. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ELLIPTIC curves
*GREEN'S functions
Subjects
Details
- Language :
- English
- ISSN :
- 0010437X
- Volume :
- 157
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Compositio Mathematica
- Publication Type :
- Academic Journal
- Accession number :
- 150390186
- Full Text :
- https://doi.org/10.1112/S0010437X21007077