The Lucida offers its residents filtered fresh air, and a fitness and spa center with a “sky-lit” indoor pool, according to a building Web site.

Image The Lucida

Mr. Bienstock’s marshal’s office is in a squat two-story office building on Bell Boulevard in Bayside, Queens, far from his new LEED-certified nest on the Upper East Side. Mr. Bienstock and his lawyer did not return several telephone calls, and the Department of Investigation, which oversees the marshals, declined to confirm that he was the purchaser of the apartment.

But in closing documents, Mr. Bienstock, who is 62, gave his address as 300 East 85th Street, a 37--story co-op built in the 1980s at Second Avenue, and he used that same address in making campaign contributions to city, state and federal candidates or committees, listing his occupation as city marshal. That apartment on East 85th, records show, is owned by Gregg Bienstock, who is 29, and according to the Department of Investigation, is also a city marshal who shares the Bell Boulevard office with a Martin Bienstock.

Last year the younger Mr. Bienstock took home $1.66 million, according to city records.

Diane Struzzi, a spokeswoman for the Department of Investigations, declined to comment on the relationship between the two Bienstocks, but noted that city marshals are appointed by the mayor to five-year terms, upon recommendation of a review committee.

She said marshals pay their own expenses. They also pay a fee of 4.5 percent of their proceeds to the city.