I've thrown this equation up as part of some research I'm doing.
$$y^2 = 1263465 + 144x$$
I was hoping there is a quick way to solve this without stepping through all the values. The value I'm interested in is $x = 1579$, but other $x$ values satisfy for $y$ as well, although I'm not bothered about those. Am I right in thinking that factorising $1263465$ might simplify the problem somewhat?