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Singular units and isogenies between CM elliptic curves
Published online by Cambridge University Press: 29 April 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.
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- © The Author(s) 2021
Footnotes
The author is partially supported by the LOEWE research unit USAG.
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