Hi, marett,
The IRS will not tell you directly how much you sent in for estimated tax payments. However, you can view your payments (and make new ones) via your online IRS account. Here is a link. Note, the first time you use the account, you will need to verify your identity (typically by answering credit reporting questions).
When you enter your data in TurboTax, there will be a question about whether you made other tax payments. You can put those payments in then. Here is an article for this year's program. It will likely be the same next year.
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