Lagrangian concordance is not a symmetric relation

We provide an explicit example of a non trivial Legendrian knot $\mathrm{\Lambda }$ such that there exists a Lagrangian concordance from ${\mathrm{\Lambda }}_0$ to $\mathrm{\Lambda }$ where ${\mathrm{\Lambda }}_0$ is the trivial Legendrian knot. We then use the map induced in Legendrian contact homology by a concordance and the augmentation category of $\mathrm{\Lambda }$ to show that no Lagrangian concordance exists in the other direction. This proves that the relation of Lagrangian concordance is not symmetric.