We consider the canonical basis elements f(k,m)(epsilon) for the space of weakly holomorphic modular forms of weight k for the Hecke congruence group Gamma(0)(2) and we prove that for all m >= c(k) for some constant c(k), if z(0) in a fundamen- tal domain for Gamma(0)(2) is a zero of f(k,m)(epsilon), then either z(0) is in {i/root 2, - 1/2 + i/2, 1/2 + i/2, -1+i root 7/4, 1+i root 7/4} or z(0) is transcendental. (C) 2019 Elsevier Inc. All rights reserved.