  We employ a non-compact gauging of four-dimensional maximal supergravity to
construct a two-parameter family of AdS$_4$ J-fold solutions preserving
$\mathcal{N}=2$ supersymmetry. All solutions preserve
$\mathfrak{u}(1)\times\mathfrak{u}(1)$ global symmetry and in special limits we
recover the previously known $\mathfrak{su}(2)\times\mathfrak{u}(1)$ invariant
$\mathcal{N}=2$ and $\mathfrak{su}(2)\times\mathfrak{su}(2)$ invariant
$\mathcal{N}=4$ J-fold solutions. This family of AdS$_4$ backgrounds can be
uplifted to type IIB string theory and is holographically dual to the conformal
manifold of a class of three-dimensional $S$-fold SCFTs obtained from the
$\mathcal{N}=4$ $T[\text{U}(N)]$ theory of Gaiotto-Witten. We find the spectrum
of supergravity excitations of the AdS$_4$ solutions and use it to study how
the operator spectrum of the three-dimensional SCFT depends on the exactly
marginal couplings.
