You do not enter it in your Arkansas return. The state specific K1s with a gain would be input only on the Non-resident state return if one was required to be filed which is not your situation. With losses on the K-1there should be no state return.
If you have other questions about this, ask in the comment section below.
[Edited 03.31.19|5:81pm PST]
But the K-1 loss offsets other income on my return decreasing my AGI. The K-1 loss is the same in the same state as my state of residence. Due to what i assume are differences in depreciation or other losses between federal and state, my Arkansas K-1 shows a greater loss than my 1120S, so using that info should lower my state tax due.
Two of us have been working on this for a long time and we could not find a way to make the adjustment in the Online version. The only way you could make this adjustment would be in the Desktop/CD version of TurboTax.
If you haven't paid for TT yet, then follow these steps to download your tax file. Purchase TTD and open the file that you have downloaded. <a rel="nofollow" target="_blank" href="https://ttlc.intuit.com/replies/3302260">https://ttlc.intuit.com/replies/3302260</a>
Then go to Forms mode, click on Form called OR-OI or the Worksheet associated with the K1. Make an adjustment in Part I.
If you have already paid for your TTO software, please contact support by phone and they will send you a desktop version of the software. <a rel="nofollow" target="_blank" href="https://ttlc.intuit.com/replies/3300041">https://ttlc.intuit.com/replies/3300041</a>