After you file

Yes by including information from a Schedule K-1 a Schedule E will be included in your 1040.  There is generally no need to include a schedule if there is no information that impact your taxable income.  In your particular case, there is no need to amend to include a blank Schedule E.
*A reminder that posts in a forum such as this do not constitute tax advice.
Also keep in mind the date of replies, as tax law changes.