If your K-1 has all zeros, then there is no need to amend your tax return.  No tax impact.  Just keep the K-1 with your other tax documents in case there is ever a question.

Thank you, that was my thought as well. I just don't want it to get flagged at the IRS because they will get a copy of the schedule as well. The only thing different on the amended version of the return would be that the name of the PTP is listed, no additional income, dividends, or losses. So there is no real tax impact.

What the IRS does is "matches" what they receive to what you report.  If there is nothing to match you will be fine.

Ok, thank you again for clarifying. Just one more follow-up. I did prepare an amendment in Turbo Tax, just to check what is different. I entered all the information from my K-1 for this. On the Fed side, I get an entry on my 1040 line 17 with a 0 (original was blank), plus I do get Schedule E attached which comes out to a 0 on line 41 (schedule E was not in my original filing). Should I file an amendment so that Schedule E is included? The state side is clearer, there the additional pages/schedule are clearly marked "for your records".

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.