  We characterize a novel Josephson parametric amplifier based on a
flux-tunable quarter-wavelength resonator. The fundamental resonance frequency
is ~1GHz, but we use higher modes of the resonator for our measurements. An
on-chip tuning line allows for magnetic flux pumping of the amplifier. We
investigate and compare degenerate parametric amplification, involving a single
mode, and nondegenerate parametric amplification, using a pair of modes. We
show that we reach quantum-limited noise performance in both cases, and we show
that the added noise can be less than 0.5 added photons in the case of low
gain.
