You can do (attempt) etale descent over one of the quadratic number fields defined by any of the factors. See section 8.3 of my paper with Jeremy Rouse for an example of how to do this (there is code available at this web page too; see the bibilography).

https://arxiv.org/pdf/1402.5997.pdf

You can do (attempt) etale descent over one of the quadratic number fields defined by any of the factors. See section 8.3 of my paper Elliptic curves over $\mathbb Q$ and 2-adic images of Galois with Jeremy Rouse for an example of how to do this (there is code available on the arXiv too).