She made her concerto début on 21 March 1962 at the Royal Festival Hall playing the Elgar Cello Concerto with the BBC Symphony Orchestra under Rudolf Schwarz .
In March 1961 , when she was 16 , du Pré gave her first concert at the Wigmore Hall , London , and she played the Elgar Cello Concerto in 1962 in the Royal Festival Hall with the BBC Symphony Orchestra conducted by Rudolf Schwarz .