I don't know the answer to your question but if you plan on using the bacteriophage for human therapy, you need to be careful. E. coli is NOT always bad.
There are probiotic products of E. coli available. Mutaflor (E. coli Nissle 1917) and Symbioflor contains six genotypes of E. coli. Your bacteriophage would need to be so specific, it leaves the beneficial E. coli alone.
I don't know what exactly you plan on doing with the bacteriophage or E. coli, but to isolate bacteriophage preparations for phage display libaries, our lab precipitates the bacteriophage by taking the infected E. coli culture supernatant and adding 45 g/L PEG-8000 and 34 g/L NaCl. Dissolve by shaking at 300 RPM for 5 minutes. Incubate on ice for 30 minutes, centrifuge 15,000 g for 15 minutes at 4 C. This is from Methods Mol Biol. 2012;901:53-79. doi: 10.1007/978-1-61779-931-0_4.