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The standard method to estimate the mass of a cosmic ray is the measurementof the atmospheric depth of the shower maximum ($X_\text{max}$). This depth isstrongly correlated with the mass of the primary because it depends on theinteraction cross section of the primary with the constituents of theatmosphere. Measuring the electric field, emitted by the secondary particles ofan extensive air shower (EAS), with the Auger Engineering Radio Array (AERA) inthe 30-80 MHz band allows the determination of the depth of shower maximum onthe basis of the good understanding of the radio emission mechanisms. The dutycycle of radio detectors is close to 100\%, making possible the statisticaldetermination of the cosmic-ray mass composition through the study of a largenumber of cosmic rays above 10$^{17}$ eV. In this contribution, $X_\text{max}$reconstruction methods based on the study of the radio signal with AERA aredetailed.

$X_\text{max}$ reconstruction from amplitude information with AERA