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Supersingular curves with small noninteger endomorphisms

Supersingular curves with small noninteger endomorphisms

We introduce a special class of supersingular curves over ‫ކ‬ p 2 , characterized by the existence of noninteger endomorphisms of small degree.We prove a number of properties about this set.Most notably, we can partition this set into subsets such that curves within each subset have small-degree isogenies between them, …