N.Y. Tax Law § 1513
(c) Time of filing declaration.--A declaration of estimated tax and a declaration of estimated tax surcharge shall be filed on or before June fifteenth of the current taxable year in the case of a taxpayer which reports on the basis of a calendar year, except that if the requirements of subdivision (a) of this section are first met:
(e) Return as declaration. If, on or before February fifteenth of the succeeding year in the case of a taxpayer whose taxable year is a calendar year, a taxpayer files its return for the year for which the declaration is required, and pays therewith the balance, if any, of the full amount of the tax or tax surcharge shown to be due on the return