AMC FCL.050 states as well:
(c) Format of the record:
(1) details of flights flown under commercial air transport may be
recorded in a computerised format maintained by the
operator. In this case an operator should make the records of
all flights operated by the pilot, including differences and
familiarisation training, available upon request to the flight
crew member concerned;
In this case no pilot logbook has to be maintained by the pilot for those flights.
Actually that is required by local rule as the norm over here. Undue delay in producing the logbook from the operator means within three days.