  In this text, we develop the theory of vectorial modular forms with values in
Tate algebras introduced by the first author, in a very special case (dimension
two, for a very particular representation of {\Gamma} := GL 2 (Fq[$theta$])).
Among several results that we prove here, we determine the complete structure
of the modules of these forms, we describe their specializations at roots of
unity and their connection with Drinfeld modular forms for congruence subgroups
of {\Gamma} and we prove that the modules generated by these forms are stable
under the actions of Hecke operators.
