Pick a point at random on an elliptic curve with specific order
I use the function
random_point() to pick a point at random on an elliptic curve, but I was wondering if there is a way to pick a point at random that has a specific order (or some useful geometric property that allows me to do that).
So far, brute forcing seems the only way to me (pick a point at random, check its order and iterate until it has the wanted order) but it's obviously very naive!
Thank you for your help!