  Elliptic flow ($v_2$) measurements of inclusive charged hadrons at
mid-rapidity ($|\eta| <$ 1.0) in Au+Au collisions at $E_{lab} =
35\mathrm{~A~GeV}$ using the Parton Hadron String Dynamics (PHSD) model are
presented as a function of centrality, transverse momentum ($p_\mathrm{T}$) and
pseudo-rapidity ($\eta$). The $v_2$ results are obtained using the $\eta$-sub
event plane method with respect to event plane angle ($\psi_{2}$) and
participant plane angle ($\psi_{2}^{PP}$). $p_\mathrm{T}$-integrated charged
hadron $v_2$ shows a strong centrality dependence in Au+Au collisions at
$E_{lab} = 35\mathrm{~A~GeV}$. The eccentricity scaled elliptic flow
($v_2/\varepsilon_2$) also shows centrality dependence. The higher values of
$v_2/\varepsilon_2$ in central collisions suggest development of stronger
collectivity. The measurements are compared with the results from Au+Au
collisions at $\sqrt{s_{\mathrm{NN}}} = 7.7\mathrm{~GeV}$ published by the STAR
experiment at RHIC. We also compare results of HSD and PHSD modes of the model
to investigate contribution of hadronic and partonic phases of the medium on
the measured $v_2$. The current results serve as a prediction of the collective
behavior of the matter produced in baryon rich and moderate temperature
conditions for the upcoming Compressed Baryonic Matter (CBM) experiment at the
Facility for Antiproton and Ion Research (FAIR). These predictions are also
useful for the interpretation of data measured at RHIC Beam Energy Scan (BES)
program.
