W. [. Atkin, W. Ch-'ing, and . Li, Twists of newforms and pseudo-eigenvalues ofW-operators, Inventiones Mathematicae, vol.168, issue.3, pp.221-243, 1978.
DOI : 10.1007/BF01390245

N. Billerey and L. V. Dieulefait, Explicit large image theorems for modular forms, Journal of the London Mathematical Society, vol.27, issue.Special Issue, pp.499-523, 2014.
DOI : 10.1112/jlms/jdt072

N. Billerey and R. Menares, On the modularity of reducible mod l Galois representations Automorphic forms and representations, Math. Research Letters Cambridge Studies in Advanced Mathematics, vol.55, 1997.

L. Carlitz, Some arithmetic properties of generalized Bernoulli numbers, Bulletin of the American Mathematical Society, vol.65, issue.2, pp.174-182, 1959.
DOI : 10.1090/S0002-9904-1959-10278-0

L. Carlitz, Some arithmetic properties of generalized Bernoulli numbers, Bulletin of the American Mathematical Society, vol.65, issue.2, pp.68-69, 1959.
DOI : 10.1090/S0002-9904-1959-10278-0

H. Carayol, Sur les repr??sentations $l$-adiques associ??es aux formes modulaires de Hilbert, Annales scientifiques de l'??cole normale sup??rieure, vol.19, issue.3, pp.409-468, 1986.
DOI : 10.24033/asens.1512

H. Carayol, Sur les repr???sentations Galoisiennes modulo $\ell$ attach???es aux formes modulaires, Seminar on Fermat's Last Theorem CMS Conf. Proc, pp.785-801, 1989.
DOI : 10.1215/S0012-7094-89-05937-1

P. Deligne and J. Serre, Formes modulaires de poids $1$, Annales scientifiques de l'??cole normale sup??rieure, vol.7, issue.4, pp.507-530, 1974.
DOI : 10.24033/asens.1277

M. Nicholas and . Katz, A result on modular forms in characteristic p, Modular functions of one variable, V (Proc. Second Internat. Conf, pp.53-61, 1976.

C. Khare and J. Wintenberger, Serre's modularity conjecture . I. Invent, Math, vol.178, issue.3, pp.485-504, 2009.

C. Khare and J. Wintenberger, Serre???s modularity conjecture (II), Inventiones mathematicae, vol.141, issue.3, pp.505-586, 2009.
DOI : 10.1007/s00222-009-0206-6

D. Loeffler and J. Weinstein, On the computation of local components of a newform, Mathematics of Computation, vol.81, issue.278, pp.1179-1200, 2012.
DOI : 10.1090/S0025-5718-2011-02530-5

B. Mazur, Modular curves and the eisenstein ideal, Publications math??matiques de l'IH??S, vol.88, issue.2, pp.33-186, 1977.
DOI : 10.1007/BF02684339

T. Miyake, Modular forms Springer Monographs in Mathematics, 2006.

A. Kenneth and . Ribet, On l-adic representations attached to modular forms, Ser87] Jean-Pierre Serre. Sur les représentations modulaires de degré 2 de Gal, pp.245-275, 1975.