  We study the dependence of some relevant tokamak equilibrium quantities on
the toroidal plasma rotation. The Grad-Shafranov equation generalised to the
rotating case is analytically solved employing two different representations
for the homogenous solution. Using an expression in terms of polynomials, we
describe the separatrix shape by a few geometrical parameters, reproducing
different plasma scenarios such as double-null and inverse triangularity. In
this setting, the introduction of toroidal rotation corresponds to variations
on relevant plasma quantities, most notably an enhancement of the poloidal
beta. Using a more general expression in terms of Bessel functions, we
reconstruct the full plasma boundary of the double-null configuration proposed
for the upcoming DTT experiment, demonstrating how said configuration is
compatible with different values of the plasma velocity.
