An electronic device may be provided with a housing and an antenna having a resonating element. The resonating element may have first and second arms extending from opposing sides of a feed. The first arm and a portion of the housing may radiate in a cellular ultra-high band. The first arm may have a fundamental mode that radiates in a first ultra-wideband (UWB) communications band at 6.5 GHz. The second arm may have a fundamental mode that radiates in a 5.0 GHz wireless local area network band. The first and second arms may have a harmonic mode that radiates in a second UWB communications band at 8.0 GHz. The antenna may convey radio-frequency signals in each of these communications bands without the need for adjusting components in the antenna to switch between the UWB communications bands.