  We study Khovanov homology over the Frobenius algebra
$\mathbb{F}[U,V,X]/((X-U)(X-V))$, or $U(1) \times U(1)$-equivariant Khovanov
homology, and extract two families of concordance invariants using the
algebraic $U$-power and $V$-power filtrations on the chain complex. We also
further develop the reduced version of the theory and study its behavior under
mirroring.
