  We study quark and lepton masses and mixings in a double covering of modular
$A_4$ flavor symmetry in which we search for common solution of a single
modulus $\tau$, applying chi-square numerical analysis under the as minimum
framework as possible. We have found the common region of $\tau$ within
$5\sigma$ interval that is narrow in case of normal hierarchy, but not found in
case of inverted hierarchy.
