How to solve the simultaneous Diophantine equations:
$q=p^3+6m^2p-12m^3-12mp^2$,
$p=q^3+6m^2q-28m^3-28mq^2$
for rational numbers $p,q,m$?
How to solve the simultaneous Diophantine equations:
$q=p^3+6m^2p-12m^3-12mp^2$,
$p=q^3+6m^2q-28m^3-28mq^2$
for rational numbers $p,q,m$?