  It is known that the large N expansion of the partition function in ABJM
theory on a three-sphere is completely determined by the topological string on
local Hirzebruch surface F_0. In this note, we investigate the ABJM partition
function on an ellipsoid, which has a conventional deformation parameter b.
Using 3d mirror symmetry, we find a remarkable relation between the ellipsoid
partition function for b^2=3 (or b^2=1/3) in ABJM theory at k=1 and a matrix
model for the topological string on another Calabi-Yau threefold, known as
local P^2. As in the case of b=1, we can compute the full large N expansion of
the partition function in this case. This is the first example of the complete
large N solution in ABJM theory on the squashed sphere. Using the obtained
results, we also analyze the supersymmetric Renyi entropy.
