What is the Dimensional Formula of Coefficient of Elasticity?

Coefficient of Elasticity is defined as the ratio of stress and strain.
Mathematically

Coefficient of Elasticity = Stress/Strain

Now we know
Strain= Change in dimension/Original dimension
Stress = Force/ Area
Thus
Dimensional Formula of Stress= (M¹L^-1T^-2)
Dimensional Formula of Strain= (M⁰L⁰T⁰)

Putting these values in above equation we get
Dimensional Formula of Coefficient of Elasticity= M¹L^-1T^-2
SI units of Coefficient of Elasticity is Nm^-2

Please note the units of Coefficient of Elasticity are same as that of Stress, Pressure because Strain has no units.