Smoothness of Shortest Isogenies to Frobenius Conjugatess
Paper by Yi Ouyang, Wei Wei and Zheng Xu on the minimum degree of an isogeny from a supersingular elliptic curve E to its Frobenius conjugate E^(p). It bounds the probability that this degree is smooth, which makes Wesolowski's p^(1/3+o(1)) attack on the supersingular endomorphism ring problem unconditional. It also gives a uniform asymptotic formula, with Dirichlet L-values in the main term, for the probability that a connection isogeny of degree n exists.
other· Added 31 Oct 2026, published 29 Oct 2026



