  The leptoproduction of J/psi mesons is studied in inelastic reactions for
four momentum transfers 2<Q^2<100GeV^2. The data were taken with the H1
detector at the electron proton collider HERA and correspond to an integrated
luminosity of 77 pb-1. Single differential and double differential cross
sections are measured with increased precision compared with previous analyses.
New leading order calculations within the non-relativistic QCD factorisation
approach including colour octet and colour singlet contributions are compared
with the data and are found to give a reasonable description of most
distributions. An exception is the shape of the distribution in the J/psi
fractional energy, z, which deviates significantly from that of the data.
Comparisons with photoproduction are made and the polarisation of the produced
J/psi meson is analysed.
