Measurement of exclusive rho0 electroproduction with ZEUS at HERA Exclusive rho0 electroproduction was measured with the ZEUS detector at HERA using an integrated luminosity of 120 pb-1. The data cover photon virtualities of 2 < Q2 < 160 GeV2 and gamma* p center-of-mass energies of 32 < W < 180 GeV. The Q2 and W dependence of the gamma* p --> rho0 p cross section was determined as well as the distribution of the squared four-momentum transfer to the proton. The helicity analysis of the decay-matrix elements of the rho was used to extract the ratio of longitudinal to transverse gamma* p cross section as a function of Q2 and W. Finally, the Pomeron trajectory was extracted. The results are compared to various theoretical predictions.