  The extreme-mass-ratio inspirals (EMRIs) of stellar mass compact objects into
massive black holes in the centres of galaxies are an important source of
low-frequency gravitational waves for space-based detectors. We discuss the
prospects for detecting these sources with the evolved Laser Interferometer
Space Antenna (eLISA), recently proposed as an ESA mission candidate under the
name NGO. We show that NGO could observe a few tens of EMRIs over its two year
mission lifetime at redshifts z < 0.5 and describe how the event rate changes
under possible alternative specifications of the eLISA design.
