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Let p>3 be a prime, f a positive integer and Q_{p^f} the unramified extensionof Q_p of degree f. After Breuil and Paskunas, to a generic semi-simplecontinue modulo p representation of the absolute Galois group of Q_{p^f}, wecan associate a parameterized family of smooth admissible modulo prepresentations of GL_2(Q_{p^f}). In this article, we prove that there are moreparameters than those known.

Sur quelques repr\'esentations supersinguli\`eres de $GL_2(Q_{p^f})$