@article{CM_1992__84_1_71_0, author = {Bayer, P. and Lario, J. C.}, title = {On {Galois} representations defined by torsion points of modular elliptic curves}, journal = {Compositio Mathematica}, pages = {71--84}, publisher = {Kluwer Academic Publishers}, volume = {84}, number = {1}, year = {1992}, mrnumber = {1183564}, zbl = {0770.11029}, language = {en}, url = {http://www.numdam.org/item/CM_1992__84_1_71_0/} }
TY - JOUR AU - Bayer, P. AU - Lario, J. C. TI - On Galois representations defined by torsion points of modular elliptic curves JO - Compositio Mathematica PY - 1992 SP - 71 EP - 84 VL - 84 IS - 1 PB - Kluwer Academic Publishers UR - http://www.numdam.org/item/CM_1992__84_1_71_0/ LA - en ID - CM_1992__84_1_71_0 ER -
Bayer, P.; Lario, J. C. On Galois representations defined by torsion points of modular elliptic curves. Compositio Mathematica, Tome 84 (1992) no. 1, pp. 71-84. http://www.numdam.org/item/CM_1992__84_1_71_0/
[As] On the Fourier coefficients of automorphic forms at various cusps and some applications to Rankin's convolution, J. Math. Soc. Japan 28 (1976), 48-61. | MR | Zbl
:[At-Le] Hecke operators on Γ0(N), Math. Ann. 185 (1970), 134-160. | Zbl
and :[At-Li] Twists of newforms and pseudo-eigenvalues of W-operators, Invent. Math. 48 (1978), 221-243. | MR | Zbl
and :[Ca] Sur les représentations l-adiques attachées aux formes modulaires de Hilbert, Ann. scient. E.N.S. 19 (1986), 409-468. | Numdam | MR | Zbl
:[Hi] Galois representations into GL2[[X]] attached to ordinary cusp forms, Inv. Math. 85 (1986), 545-577. | MR | Zbl
:[Jo-Li] Conjecture 'epsilon' for weight k > 2, Bull. Amer. Math. Soc. 21 (1989), 51-69. | MR | Zbl
and :[Ko] Congruences between cusp forms and linear representations of the Galois group, Nagoya Math. J. 64 (1976), 63-85. | MR | Zbl
:[Kr] 'Thèse: Sur l'arithmétique des courbes elliptiques', 1990.
:[La] Automorphic forms and l-adic representations, Modular Forms of One Variable II, 361-500; Springer Lect. Notes 349, 1973. | Zbl
:[Ma] Rational isogenies of prime degree, Invent. Math. 44 (1978), 129-162. | MR | Zbl
:[Ma-Ti] Représentations galoisiennes, différentielles de Kähler, et 'conjectures principales',Publ. Math. IHES 71 (1990), 65-103. | Numdam | MR | Zbl
and :[Mi] On automorphic forms on GL2 and Hecke operators, Ann. of Math. 94 (1971), 174-189. | MR | Zbl
:[Og] On the eigenvalues of the Hecke operators, Math. Ann. 79 (1969), 101-108. | MR | Zbl
:[Ri] On modular representations of Gal(Q/Q) arising from modular forms, Invent. Math. 100 (1990), 431-476. | MR | Zbl
:[Se1] Facteurs locaux des fonctions zêta des variétés algébriques (définitions et conjectures); Séminaire Delange-Pisot-Poitou 19 (1969/70); Œ 87. Springer, 1986. | Numdam | Zbl
:[Se2] Propriétés galoisiennes des points d'ordre fini des courbes elliptiques, Invent. Math. 15 (1972), 259-331; Œ 94, 1986. | Zbl
:[Se3] Valeurs propres des opérateurs de Hecke modulo l, Astérisque 24-25 (1975), 109-117; Œ 104, Springer, 1986. | Numdam | Zbl
:[Se4] Sur les représentations modulaires de degré 2 de Gal(Q/Q), Duke Math. J. 54 (1987), 179-230. | MR | Zbl
:[Se-Ta] Good reduction of abelian varieties, Ann. of Math. 88 (1968), 492-517; Œ 79, Springer, 1986. | Zbl
and :[Sh] On the factors of the Jacobian variety of a modular function field, J. Math. Soc. Japan 25 (1976), 523-544. | MR | Zbl
:[Wi] On p-adic representations for totally real fields, Ann. of Math. 123 (1986), 407-456. | MR | Zbl
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