implement Bröker's algorithm for constructing supersingular curves #36665
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In this patch, we add a function$\mathbb F_p$ having a small-degree endomorphism which anticommutes with Frobenius. The function optionally constructs and returns the endomorphism as an explicit isogeny; this should prove useful later when we have better tools for endomorphism rings.
special_supersingular_curve()
to construct a supersingular elliptic curve defined over a givenBröker's algorithm is both the standard approach for finding a supersingular elliptic curve in given characteristic, as well as part of the setup for several algorithms dealing with endomorphism rings: The special endomorphism together with Frobenius forms a generating set of the endomorphism algebra.
Cc: @JohnCremona @defeo @GiacomoPope @remyoudompheng