My last return using turbo tax said:
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No payment is required with your New Mexico Form PTE.
Mail your return to the following address on or before March 15, 2021:
This year it will probably said the same.
Does this mean the franchise tax was included but not payment was needed since I had more expenses than income?
If you look at page 4 of the FYI it says the NM Corporate Income Tax is based on net income, so if you lost money you wouldn't pay that tax.
There is a $50 Franchise Tax each year that must be paid regardless of profit.
The franchise tax is separate from the personal income tax. Here is a link to create a NM login and where you will be able to submit a payment.