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In this paper, we compute Alexander polynomials of a torus curve C of type(2, 5), C : f(x, y) = f_2(x, y)^5 + f_5(x, y)^2 = 0, under the assumption thatthe origin O is the unique inner singularity and f2 = 0 is an irreducibleconic. We show that the Alexander polynomial remains the same with that of ageneric torus curve as long as C is irreducible.

On Alexander polynomials of certain ( 2 , 5 ) torus curves