@article{CM_1984__52_1_115_0, author = {Momose, Fumiyuki}, title = {Rational points on the modular curves $X\_{\mathrm {split}}(p)$}, journal = {Compositio Mathematica}, volume = {53}, year = {1984}, pages = {115-137}, mrnumber = {742701}, zbl = {0574.14023}, language = {en}, url = {http://dml.mathdoc.fr/item/CM_1984__52_1_115_0} }
Momose, Fumiyuki. Rational points on the modular curves $X_{\mathrm {split}}(p)$. Compositio Mathematica, Tome 53 (1984) pp. 115-137. http://gdmltest.u-ga.fr/item/CM_1984__52_1_115_0/
[1] Hecke operators on Γ0(m). Math. Ann. 185 (1970) 134-160. | Zbl 0177.34901
and :[2] Rational points on the jacobians of modular curves. Math. USSR Sbornik 30 (4) (1976) 478-500. | Zbl 0385.14007
:[3] 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. Berlin- Heidelberg-New York: Springer 1973. | MR 337993 | Zbl 0281.14010
and :[4] The modular curve X0(39) and rational isogeny. Math. Proc. Cambridge Philos. Soc. 85 (1979) 21-23. | MR 510395 | Zbl 0392.14011
:[5] The modular curves X0(65) and X0(91) and rational isogeny. Math. Proc. Cambridge Philos. Soc. 87 (1980) 15-20. | MR 549292 | Zbl 0479.14014
:[6] The modular curve X0(169) and rational isogeny. J. London Math. Soc. (2) 22 (1980) 239-244. | MR 588271 | Zbl 0437.14022
:[7] On the modular curves X0(125), X 1(25) and X1(49). J. London Math. Soc. (2) 23 (1981) 415-427. | MR 616546 | Zbl 0425.14006
:[8] Elliptic functions. Reading, Mass.: Addison-Wesley. | MR 409362 | Zbl 0316.14001
:[9] Rational points on modular curves. Proceedings of a conference on modular functions held in Bonn 1976. Lecture Notes in Math. 601. Berlin-Heidelberg-New York: Springer 1977. | MR 450283 | Zbl 0357.14005
:[10] Modular curves and the Eisenstein ideal. Publ. Math. I.H.E.S. 47 (1977). | Numdam | Zbl 0394.14008
:[11] Rational isogenies of prime degree. Inv. Math. 44 (1978) 129-162. | MR 482230 | Zbl 0386.14009
:[12] Arithmetic of Weil curves. Inv. Math. 25 (1974) 1-61. | MR 354674 | Zbl 0281.14016
and :[13] Points rationnels de la courbe modulaire X 0(169). Ann. Inst. Fourier, Grenoble 30-2 (1980) 17-27. | Numdam | MR 584269 | Zbl 0432.14017
:[14] Über die Automorphismengruppe von X0(N). Math. Ann. 228 (1977) 279-292. | MR 562500 | Zbl 0336.14002
:[15] On reduction and zeta functions of varieties obtained from Γ0(N) (to appear).
:[16] Group schemes of prime order. Ann. Scient. Éc. Norm. Sup. Série 4, 3 (1970) 1-21. | Numdam | MR 265368 | Zbl 0195.50801
and :[17] Schémas en groupes de type (p, ... , p). Bull. Soc. Math. France 102 (1974) 241-280. | Numdam | MR 419467 | Zbl 0325.14020
:[18] Endomorphisms of semi-stable abelian varieties over number fields. Ann. Math. 101 (1975) 555-562. | MR 371903 | Zbl 0305.14016
:[19] Propriétés galoisiennes des points d'ordre fini des courbes elliptiques. Inv. Math. 15 (1970) 259-331. | Zbl 0235.14012
:[20] p-divisible groups. Proceedings of a conference on local fields, Driebergen, 1966. Berlin: Springer-Verlag (1967), pp. 158-183. | MR 231827 | Zbl 0157.27601
:[21] B.J. BIRCH and W. KUYK (eds.): Modular functions of one variable IV. Lecture Notes in Math. 476. | Zbl 0315.14014