Automorphism groups of the modular curves X 0 (N)
Compositio Mathematica, Tome 65 (1988) no. 1, pp. 51-80. 
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Kenku, M. A.; Momose, Fumiyuki. Automorphism groups of the modular curves $X_0(N)$. Compositio Mathematica, Tome 65 (1988) no. 1, pp. 51-80. http://www.numdam.org/item/CM_1988__65_1_51_0/

1 A.O.L. Atkin and J. Lehner, Hecke operators on Γ0(m), Math. Ann. 1985 (1970) 134-160. | Zbl

2 Z.I. Borevich and I.R. Safarevich, Number Theory, Academic Press, New York and London (1966). | MR | Zbl

3 P. Deligne, Formes modulaires et représentation l-adiques, Sém. Bourbaki 1968/69, exposé n°355, Lecture Notes in Math. 189 (1971). | Numdam | Zbl

4 P. Deligne and M. Rapoport, 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. | MR | Zbl

5 K. Doi and M. Yamauchi, On the Hecke operators for Γ0(N) and class fields over quadratic fields, J. Math. Soc. Japan 25 (1973) 629-643. | Zbl

6 R. Fricke, Die Elliptischen Functionen und ihre Anwendungen, Leipzig-Berlin, Teubner 1922.

7 M.A. Kenku, The modular curve X0(39) and rational isogeny, Math. Proc. Cambridge Philos. Soc. 85 (1979) 21-23. | MR | Zbl

8 M.A. Kenku, The modular curves X0(65) and X0(91) and rational isogeny, Math. Proc. Cambridge Philos. 87 (1980) 15-20. | MR | Zbl

9 M.A. Kenku, The modular curve X0(169) and rational isogeny, J. London Math. Soc. (2), 22 (1981) 239-244. | MR | Zbl

10 M.A. Kenku, On the modular curves X0(125), X1(25) and X1(49), J. London Math. Soc. (2), 23 (1981) 415-427. | MR | Zbl

11 M.A. Kenku, Rational torsion points on elliptic curves defined over quadratic fields, to appear. | MR

12 S. Lang, Elliptic Functions. Addison-Wesley, Reading Math. | MR | Zbl

13 Y. Manin, Parabolic points and zeta functions of modular forms, Math. USSR-Izvestija, Vol. 6, No. 1 (1972) 19-64. | Zbl

14 B. Mazur, Modular curves and the Eisenstein ideals, Publ. Math. I.H.E.S. 47 (1977). | Numdam | Zbl

15 B. Mazur, Rational isogenies of prime degree, Inv. Math. 44 (1978) 129-162. | MR | Zbl

16 B. Mazur and P. Swinnerton-Dyer, Arithmetic of Weil curves, Inv. Math. 25 (1974) 1-61. | MR | Zbl

17 J.F. Mestre, Points rationnels de la courbe modulaire X0(169), Ann. Inst. Fourier, Grenoble 30, 2 (1980) 17-27. | Numdam | MR | Zbl

18 F. Momose, On the l-adic representations attached to modular forms, J. Facult. Sci. Univ. Tokyo, Vol. 28, No. 1 (1981) 89-109. | MR | Zbl

19 F. Momose, Rational points on the modular curves Xsplit(p), Comp. Math. 52 (1984) 115-137. | Numdam | MR | Zbl

20 F. Momose, Rational points on the modular curves X0(p), J. Facult. Sci. Univ. Tokyo, 33 (1986) 585-631. | MR | Zbl

21 F Momose, p-torsion points on elliptic curves defined over quadratic fields, Nagoya Math. J. Vol. 96 (1984), 139-165. | MR | Zbl

22 A. Ogg, Hyperelliptic modular curves, Bull. Soc. Math. France 102 (1974) 449-462. | Numdam | MR | Zbl

23 A. Ogg, Über die Automorphismengruppe von X0(N), Math. Ann. 228 (1977) 279-292. | MR | Zbl

24 F. Oort and J. Tate, Group schemes of prime order, Ann. Scient. Ec. Norm. Sup. série 4, 3 (1970), 1-21. | Numdam | MR | Zbl

25 M. Raynaud, Spécialisation du fonctor de Picard, Publ. Math. I.H.E.S. 38 (1970) 27-76. | Numdam | Zbl

26 M. Raynaud, Schémas en groupes de type (p, ... , p) Bull. Soc. Math. France 102 (1974) 241-280. | Numdam | MR | Zbl

27 K.A. Ribet, Endomorphisms of semi-stable abelian varieties over number fields, Ann. Math. 101 (1975) 555-562. | MR | Zbl

28 K.A. Ribet, On l-adic representations attached to modular forms, Inv. Math. 28 (1975) 245-275. | MR | Zbl

29 K.A. Ribet, Twists of modular forms and endomorphisms of abelian varieties, Math. Ann. 253 (1980) 43-62. | MR | Zbl

30 J.B. Rossor and L. Schoenfeld, Approximate formula for some functions of prime numbers, Illinois J. Math. Vol. 6 (1962) 64-94. | Zbl

31 J.P. Serre, Propriétés galoissiennes des points d'ordre fini des courbes elliptiques, Inv. Math. 15 (1972) 259-331. | MR | Zbl

32 J.P. Serre and J. Tate, Good reduction of abelian varieties, Ann. Math. 88 (1968) 429-517. | MR | Zbl

33 G. Shimura, Introduction to the Arithmetic theory of Automorphic functions, Publ. Math. Soc. No. 11, Tokyo -Princeton 1970. | MR | Zbl

34 G. Shimura, On elliptic curves with complex multiplication as factors of the jacobians of modular function fields, Nagoya Math. J 43 (1971) 199-208. | MR | Zbl

35 G. Shimura, On the factors of jacobian variety of a modular function field, J. Math. Soc. Japan 25 (1973) 525-544. | MR | Zbl

36 Modular functions of one variable IV, Lecture Notes in Math. 476.