It doesn't matter what you enter for the broker's name. It doesn't go on your tax return. It's just something that TurboTax uses to identify multiple copies of the Capital Asset Sales Worksheet. The worksheet is an internal form for TurboTax. It's not part of your tax return.
The details of the calculation of basis also do not go on your tax return. Only the one number for basis actually appears on your tax return. There is no place on the tax return to show the details.
