  Stable quotient spaces provide an alternative to stable maps for
compactifying spaces of maps. When the target is projective space and the
domain curve has genus 1, these are smooth proper Deligne-Mumford stacks. In
this paper we study the associated coarse moduli schemes. We show these schemes
are projective, rationally connected and have Picard number 2. Then we give
generators for the Picard group, compute the canonical divisor, and the cones
of ample and effective divisors. In certain cases, we also give a closed
formula for the Poincar\'{e} polynomial.
