(Tax Law, section 213-a(d))
In making a declaration of estimated tax, the taxpayer is required to take into account the facts and circumstances existing at the time, as well as those reasonably to be anticipated, that relate to the prospective article 9-A tax. Amended or revised declarations may be made if the taxpayer finds that its estimated tax differs from the estimated tax reflected in its most recent declarations of estimated tax. However, an amended declaration may only be made on an installment date (see section 7-3.4 of this Part Other installments of estimated tax) and no further amendment may be made until a succeeding installment date. The amended declaration must be made on form CT-400 and marked "AMENDED". No refund will be issued as a result of the filing of an amended declaration. Consideration will be given to a refund only in connection with a completed report filed by a taxpayer for the taxable year covered by its declaration (and amended declaration).
N.Y. Comp. Codes R. & Regs. Tit. 20 §§ 7-2.2