  We use the method of Lightcone Conformal Truncation (LCT) to obtain form
factors and spectral densities of local operators $\mathcal{O}$ in $\phi^4$
theory in two dimensions. We show how to use the Hamiltonian eigenstates from
LCT to obtain form factors that are matrix elements of a local operator
$\mathcal{O}$ between single-particle bra and ket states, and we develop
methods that significantly reduce errors resulting from the finite truncation
of the Hilbert space. We extrapolate these form factors as a function of
momentum to the regime where, by crossing symmetry, they are form factors of
$\mathcal{O}$ between the vacuum and a two-particle asymptotic scattering
state. We also compute the momentum-space time-ordered two-point functions of
local operators in LCT. These converge quickly at momenta away from branch
cuts, allowing us to indirectly obtain the time-ordered correlator and the
spectral density at the branch cuts. We focus on the case where the local
operator $\mathcal{O}$ is the trace $\Theta$ of the stress tensor.
