  The first measurement of the $\Upsilon(1{\rm S})$ elliptic flow coefficient
($v_2$) is performed at forward rapidity (2.5 $<$ $y$ $<$ 4) in Pb-Pb
collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV with the ALICE detector at the
LHC. The results are obtained with the scalar product method and are reported
as a function of transverse momentum ($p_{\rm{T}}$) up to 15 GeV/$c$ in the
5-60% centrality interval. The measured $\Upsilon(1{\rm S})$ $v_2$ is
consistent with zero and with the small positive values predicted by transport
models within uncertainties. The $v_2$ coefficient in 2 $<$ $p_{\rm T}$ $<$ 15
GeV/$c$ is lower than that of inclusive J/$\psi$ mesons in the same
$p_{\rm{T}}$ interval by 2.6 standard deviations. These results, combined with
earlier suppression measurements, are in agreement with a scenario in which the
$\Upsilon$(1S) production in Pb-Pb collisions at LHC energies is dominated by
dissociation limited to the early stage of the collision whereas in the
J/$\psi$ case there is substantial experimental evidence of an additional
regeneration component.
