@article{CM_1995__97_3_329_0, author = {Momose, Fumiyuki}, title = {Isogenies of prime degree over number fields}, journal = {Compositio Mathematica}, pages = {329--348}, publisher = {Kluwer Academic Publishers}, volume = {97}, number = {3}, year = {1995}, mrnumber = {1353278}, zbl = {1044.11582}, language = {en}, url = {http://www.numdam.org/item/CM_1995__97_3_329_0/} }
Momose, Fumiyuki. Isogenies of prime degree over number fields. Compositio Mathematica, Volume 97 (1995) no. 3, pp. 329-348. http://www.numdam.org/item/CM_1995__97_3_329_0/
[Ab] Formal finiteness and the uniform boundedness conjecture. A footnote to a paper of Kamienny and Mazur, preprint.
:[C-S] Arithmetic Geometry. Springer-Verlag, Berlin (1985). | MR | Zbl
and :[D-R] Schémas de modules des courbes elliptiques, Vol. II of the Proceedings of the International Summer School on Modular Functions, Antwerp (1972). Lecture Notes in Math. 349, Springer-Verlag, Berlin (1973). | MR | Zbl
and :[Fa] Rational Points, Seminar Bonn/Wuppertal 1983-84, Aspects of Math., Friedr. Vieweg and Sohn (1984). | MR | Zbl
and et al.:[Ka1] Torsion points on elliptic curves and q-coefficients of modular forms, Invent. Math. 109(2) (1992) 221-230. | MR | Zbl
:[Ka2] A letter to B. Mazur.
:[K-M] Rational torsion of prime order in elliptic curves over number fields, preprint.
and :[Ke1] On the modular curves X0(125), X 1(25) and X1(49), J. Lond. Math. Soc. 23 (1981) 415-427. | MR | Zbl
:[Ke2] Certain torsion points on elliptic curves defined over quadratic fields, J. Lond. Math. Soc. 2 (1978) 233-240. | MR | Zbl
:[K-Mo] Torsion points on elliptic curves defined over quadratic fields, Nagoya Math. J. 109 (1988) 125-149. | MR | Zbl
and :[La1] Elliptic Functions, Addison-Wesley, Reading Math. (1973). | MR | Zbl
:[La2] Algebraic Number Theory, GTM 110, Springer-Verlag (1970). | MR
:[Ma1] Modular curves and the Eisenstein ideal, Publ. Math. I.H.E.S. 47 (1977) 33-186. | Numdam | MR | Zbl
:[Ma2] Rational isogenies of prime degree, Invent. Math. 44 (1978) 129-162. | MR | Zbl
:[Mo] p-Torsion points on elliptic curves defined over quadratic fields, Nagoya Math. J., 96 (1984) 139-165. | MR | Zbl
:[O-T] Group schemes of prime order, Ann. Scient. Éc. Nórm. Sup., série 4, 3, 1-21 (1970). | Numdam | MR | Zbl
and :[Ra1] Schémas en groupes de type (p,...,p), Bull. Math. France 102 (1974) 241-280. | Numdam | MR | Zbl
:[Ra2] Spécialisation du fonctuer de Picard, Publ. Math. I.H.E.S. 38 (1970) 27-76. | Numdam | Zbl
:[Ri] Endomorphisms of semistable abelian varieties over number fields, Ann. of Math. 101 (1975) 552-562. | MR | Zbl
:[Se] Propriétés galoisiennes des points d'ordre fini des courbes elliptiques, Invent. Math. 15 (1972) 259-331 | MR | Zbl
:[S-T] Good reduction of abelian varieties, Ann. Math. 88 (1968) 492-517. | MR | Zbl
and :[Mf] Modular functions of one variable IV, Lecture Notes in Math. 476, Springer-Verlag, Berlin (1975).
[SGA7] Groupes de Monodromie en Géométrie Algébrique (dirigé par A. Grothendieck avec collaboratiob de M. Raynaud et D. S. Rim), Lecture Notes in Math. 288, Springer-Verlag, Berlin (1972). | MR | Zbl