Electromagnetic linear momentum density of a charge-monopole pair written as a curl

[nightowl]

Greetings everyone!

As the title says, I'm having trouble in solving this problem. For a system formed of a stationary electric pole and a stationary magnetic pole, the electromagnetic angular momentum is independent of their separation distance. I've managed to prove this (and calculate the angular momentum explicitly) but I'm having trouble in answering another question, namely to prove that the electromagnetic linear momentum density has 0 divergence by writing it as a curl. It is easy to calculate the divergence explicitly, but I have no idea how to find the vector having as curl the linear momentum density. Right now I'm mostly trying various quantities, my best result reproduced the linear momentum density but multiplied by a non-constant factor so the answer must be wrong. Any tips would really be appreciated, it's really bugging me.

Thank you!