Singular Units and Isogenies Between CM Elliptic Curves

Published 31 Oct 2018 in math.NT | (1810.13214v4)

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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Authors (1)

Yingkun Li

Citations (8)

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