We present the results for a search of high-energy muon neutrinos with the IceCube detector in coincidence with the Crab nebula flare reported on September 2010 by various experiments .
Due to the unusual flaring state of the otherwise steady source we performed a prompt analysis of the 79-string configuration data to search for neutrinos that might be emitted along with the observed \gamma -rays .
We performed two different and complementary data selections of neutrino events in the time window of 10 days around the flare .
One event selection is optimized for discovery of E _ { \nu } ^ { -2 } neutrino spectrum typical of 1 ^ { st } order Fermi acceleration .
A similar event selection has also been applied to the 40-string data to derive the time-integrated limits to the neutrino emission from the Crab ( ( 35 ) ) .
The other event selection was optimized for discovery of neutrino spectra with softer spectral index and TeV energy cut-offs as observed for various galactic sources in \gamma -rays .
The 90 % CL best upper limits on the Crab flux during the 10 day flare are 4.73 \times 10 ^ { -11 } cm ^ { -2 } s ^ { -1 } TeV ^ { -1 } for an E _ { \nu } ^ { -2 } neutrino spectrum and 2.50 \times 10 ^ { -10 } cm ^ { -2 } s ^ { -1 } TeV ^ { -1 } for a softer neutrino spectra of E _ { \nu } ^ { -2.7 } , as indicated by Fermi measurements during the flare .
IceCube has also set a time-integrated limit on the neutrino emission of the Crab using 375.5 days of livetime of the 40-string configuration data .
This limit is compared to existing models of neutrino production from the Crab and its impact on astrophysical parameters is discussed .
The most optimistic predictions of some models are already rejected by the IceCube neutrino telescope with more than 90 % CL .