To understand the implications of the Double Chooz data on both oscillation parameters sin2(2θ13) \sin^{2}(2\theta_{13}) and Δm231 \Delta m^2_{31} , we analyze the data corresponding to the Far detector, with no additional restriction. By doing this, confidence regions and best fit values are obtained for (sin2(2θ13),Δm231 \sin^{2}(2\theta_{13}),\Delta m^2_{31} ). This analysis yields an out-of order Δm231 \Delta m^2_{31} minimum, and it is corrected with the inclusion of additional restrictions. We study the effects of the so called ``spectral bump" around 5 MeV, it is observed that a variation of this spectral bump may be able to move the Δm231 \Delta m^2_{31} best fit value, in such a way that Δm231 \Delta m^2_{31} takes the order of magnitude of the MINOS' value. Finally, with the preliminary Near Detector Data, we performed two different analyses. It is found that unlike the Far Detector analysis, the Far+Near Detector Data may be able to fully determine both oscillation parameters by itself.