Broué, Malle and Rouquier defined a presentation for the complex braid group B(e,e,n) attached to the complex reflection group G(e,e,n) but the monoid defined by their presentation does not embed in B(e,e,n). The failure of the embedding property implies that the presentation of Broué, Malle and Rouquier does not give rise to a Garside structure. Adding some generators and relations to this presentation, Corran and Picantin defined a presentation for B(e,e,n) that gives rise to a Garside structure. We will study the presentation of Corran and Picantin as well as open questions about the complex braid group B(e,e,n).