a type of blazars in which the synchrotron emission peaks at UV/X-ray frequencies (the so-called high-energy peak BL Lacs \[HBLs\] e.g. Urry & Padovani 1995), as opposed to the blazars with the synchrotron peak located at IR/visible frequencies. Along with Mkn501 and H1426+428, it represents extreme BL Lac objects, in which the synchrotron peak energy exceeds 10 keV, in particular during strong flares [@Costamante]. 1ES2344+514 was detected during the [*Einstein*]{} Slew Survey [@Elvis] in the energy range between 0.2 and 4 keV. It was identified as a BL Lac object by @Perlman, who also determined a redshift of $z = 0.044$. Its black hole mass was estimated to be $10^{(8.80\pm0.16)} M_\mathrm{sun}$ [@Barth]. Early [*BeppoSAX*]{} observations [@Giommi] revealed a large 0.1$-$10 keV flux variability on timescales of a few hours. Follow-up observations in 1998 found the object in a very low state with the synchrotron peak shifted by a factor of 20 towards lower energies and the corresponding integral flux decreased by a factor of 4.5. @Giommi interpreted the observations with one electron population being responsible for the steady low energy synchrotron emission and another electron component producing higher energy X-rays with high time variability. The latter component should be responsible 