We present the results of a search for low energy (nu) over bar (e) from the Sun using 1496 days of data from Super-Kamiokande-I. We observe no significant excess of events and set an upper limit for the conversion probability to (nu) over bar (e) of the B-8 solar neutrino. This conversion limit is 0.8% (90% C.L.) of the standard solar model's neutrino flux for total energy=8-20 MeV. We also set a flux limit for monochromatic (nu) over bar (e) for E-(nu) over bare=10-17 MeV.