I'm trying to find for which primes the elliptic curve over $\mathbb{Q}$ defined by $y^2z+yz^2=x^3-xz^2$, for example, has good reduction.
I think the way to go would be to find the minimal Weierstrass model but I have no idea about how to do it except asking PARI. Is there a simple algorithm (doable by hand) which works at least most of the time?