  Extreme high-energy peaked BL Lac objects (EHBLs) are blazars whose
synchrotron emission peaks at exceptionally high energies, above few keV, in
the hard X-ray regime. So far, only a handful of those objects has been
detected at very high energy (VHE, E > 100 GeV) gamma rays by Imaging
Atmospheric Cherenkov Telescopes. Very remarkably, VHE observations of some of
these blazars (like 1ES 0229+200) have provided evidence of a VHE gamma-ray
emission extending to several TeV, which is difficult to explain with standard,
one-zone synchrotron self-Compton models usually applied to BL Lac objects. The
MAGIC collaboration coordinated a multi-year, multi-wavelength observational
campaign on ten targets. The MAGIC telescopes detected VHE gamma rays from four
EHBLs. In this paper we focus on the source 1ES 1426+426 and its X-ray and VHE
gamma-ray properties. The results of different models (synchrotron
self-Compton, spine-layer, hadronic) reproducing the broadband spectral energy
distribution are also presented.
