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2018-10-31
Singular Units and Isogenies Between CM Elliptic Curves
Yingkun Li
文献摘要
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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