@article{CM_1995__97_3_329_0, author = {Momose, Fumiyuki}, title = {Isogenies of prime degree over number fields}, journal = {Compositio Mathematica}, volume = {99}, year = {1995}, pages = {329-348}, mrnumber = {1353278}, zbl = {1044.11582}, language = {en}, url = {http://dml.mathdoc.fr/item/CM_1995__97_3_329_0} }
Momose, Fumiyuki. Isogenies of prime degree over number fields. Compositio Mathematica, Tome 99 (1995) pp. 329-348. http://gdmltest.u-ga.fr/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 861969 | Zbl 0596.00007
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 337993 | Zbl 0281.14010
and :[Fa] Rational Points, Seminar Bonn/Wuppertal 1983-84, Aspects of Math., Friedr. Vieweg and Sohn (1984). | MR 766573 | Zbl 0753.14019
and et al.:[Ka1] Torsion points on elliptic curves and q-coefficients of modular forms, Invent. Math. 109(2) (1992) 221-230. | MR 1172689 | Zbl 0773.14016
:[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 616546 | Zbl 0425.14006
:[Ke2] Certain torsion points on elliptic curves defined over quadratic fields, J. Lond. Math. Soc. 2 (1978) 233-240. | MR 533321 | Zbl 0431.14007
:[K-Mo] Torsion points on elliptic curves defined over quadratic fields, Nagoya Math. J. 109 (1988) 125-149. | MR 931956 | Zbl 0647.14020
and :[La1] Elliptic Functions, Addison-Wesley, Reading Math. (1973). | MR 409362 | Zbl 0316.14001
:[La2] Algebraic Number Theory, GTM 110, Springer-Verlag (1970). | MR 1282723
:[Ma1] Modular curves and the Eisenstein ideal, Publ. Math. I.H.E.S. 47 (1977) 33-186. | Numdam | MR 488287 | Zbl 0394.14008
:[Ma2] Rational isogenies of prime degree, Invent. Math. 44 (1978) 129-162. | MR 482230 | Zbl 0386.14009
:[Mo] p-Torsion points on elliptic curves defined over quadratic fields, Nagoya Math. J., 96 (1984) 139-165. | MR 771075 | Zbl 0578.14021
:[O-T] Group schemes of prime order, Ann. Scient. Éc. Nórm. Sup., série 4, 3, 1-21 (1970). | Numdam | MR 265368 | Zbl 0195.50801
and :[Ra1] Schémas en groupes de type (p,...,p), Bull. Math. France 102 (1974) 241-280. | Numdam | MR 419467 | Zbl 0325.14020
:[Ra2] Spécialisation du fonctuer de Picard, Publ. Math. I.H.E.S. 38 (1970) 27-76. | Numdam | Zbl 0207.51602
:[Ri] Endomorphisms of semistable abelian varieties over number fields, Ann. of Math. 101 (1975) 552-562. | MR 371903 | Zbl 0305.14016
:[Se] Propriétés galoisiennes des points d'ordre fini des courbes elliptiques, Invent. Math. 15 (1972) 259-331 | MR 387283 | Zbl 0235.14012
:[S-T] Good reduction of abelian varieties, Ann. Math. 88 (1968) 492-517. | MR 236190 | Zbl 0172.46101
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 354656 | Zbl 0237.00013