The cross section of the process has been measured in the Spherical Neutral Detector (SND) experiment at the VEPP-2000 collider VEPP-2000 in the energy region MeV. The measurement is based on data with an integrated luminosity of about 4.6 pb. The systematic uncertainty of the cross section determination is 0.8 % at GeV. The meson parameters are obtained as $m_\rho = 775.3\pm 0.5\pm 0.6\Gamma_\rho = 145.6\pm 0.6\pm 0.8B_{\rho\to e^+ e^-}\times B_{\rho\to\pi^+\pi^-} = (4.89\pm 0.02\pm 0.04)\times 10^{-5}e^+ e^-\to\omega\to\pi^+\pi^-$ process, suppressed by -parity, as $B_{\omega\to e^+ e^-}\times B_{\omega\to\pi^+\pi^-}= (1.32\pm 0.06\pm 0.02)\times 10^{-6} \phi_{\rho\omega} = 110.7\pm 1.5\pm1.0$ degrees.

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