The T2K off-axis near detector, ND280, is used to make the first differential cross-section measurements of electron neutrino charged current interactions at energies ~1 GeV as a function of electron momentum, electron scattering angle and four-momentum transfer of the interaction. The total flux-averaged $ u_e$ charged current cross-section on carbon is measured to be $1.11pm0.09~(stat)pm0.18~(syst)times10^{-38} cm^2/nucleon$. The differential and total cross-section measurements agree with the predictions of two leading neutrino interaction generators, NEUT and GENIE. The NEUT prediction is $1.23times10^{-38} cm^2/nucleon$ and the GENIE prediction is $1.08times10^{-38} cm^2/nucleon$. The total $ u_e$ charged current cross-section result is also in agreement with data from the Gargamelle experiment.
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