We present a 5x5 integrated intensity map of 12CO (J=3-2) emission from the rho-Ophiuchi cloud core that traces low-luminosity outflow emission from two protostars: Elias 29 and, most likely, LFAM 26. The morphology of the outflow from Elias 29 is bipolar and has a curved axis that traces the S-shaped symmetry seen in H_2 emission. The outflow from LFAM 26 is a new detection and oriented in the east/west direction near the plane of the sky with most of the blue-shifted emission being absorbed by intervening clouds. The outflow axis of this object also appears to intersect a knot of H_2 emission previously attributed to Elias 29. LFAM 26 is a low luminosity source (L_bol = 0.06 L_sun) which, in combination with the observed outflow, makes it a candidate Very Low Luminosity Object (VeLLO). We derive lower limits to the gas column densities and energetics for both outflows. The mechanical luminosities for Elias 29 and LFAM 26 are 6.4 and 10.3 x 10^{-3} L_sun, respectively.
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