the parameter space spanned by other models for blazars (e.g. Kino et al. 2002; Giommi et al. 2002), the magnetic field strength found here is rather low.

In conclusion, we note that the presented SED models are rather speculative, given the non-simultaneity of the currently available data. Future multiwavelength campaigns on 1ES2344+514, exploiting the enhanced sensitivity of the new imaging air Cherenkov telescope installations, will hopefully improve this situation.

We thank the IAC for the excellent working conditions at the Observatorio del Roque de los Muchachos in La Palma. The support of the German BMBF and MPG, the Italian INFN and the Spanish CICYT is gratefully acknowledged. This work was also supported by ETH Research Grant TH 34/04 3 and the Polish MNiI Grant 1P03D01028.

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