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I have been going through a couple of introductory courses in modular forms and am quite curious whether all modular forms can be written as eta quotients of the Dedekind eta function?

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    $\begingroup$ See here: doi.org/10.1016/j.aim.2014.12.002 $\endgroup$
    – te4
    Dec 19 at 15:04
  • $\begingroup$ You may also find this relevant. Only 43 newforms can be expressed as eta quotients and LMFDB includes all of them. $\endgroup$
    – KStarGamer
    Dec 19 at 19:20

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