Elliptic curves and points have .set_order() methods to supply the order to Sage's algorithms instead of computing it.

However, .set_order() for curves currently has a num_checks= keyword argument instead of the usual check= flag, and .set_order() for points does not have either argument and simply runs checks unconditionally.

In this patch we add check= arguments to both methods. Moreover, we make .set_order() work for points over general fields, where order-computation algorithms are not available at the moment.

Component: elliptic curves

Author: Lorenz Panny

Branch/Commit: 12d13b3

Reviewer: Kwankyu Lee

Issue created by migration from https://trac.sagemath.org/ticket/34787