This is a preview of subscription content, log in via an institution to check access.
References
Carayol, H.: Sur les representationsl-adiques attachées aux formes modulaires de Hilbert. C.R. Acad. Sci. Paris Sér. I Math.296, 629–632 (1983)
Cox, D.: Gauss and the arithmetic-geometric mean. Notices of the Am. Math. Sci.32, 147–151 (1985)
Deligne, P.: Preuve des conjectures de Tate et de Shafarevitch [d'aprèv G. Faltings]. Séminaire Bourbaki, 36e année,616, 1983/84
Deligne, P., Rapoport, M.: Les schémas de modules de courbes elliptiques. In: Deligne, P., Kuijk, W. (eds.) Modular Forms in One Variable II. Proceedings Antwerp 1872. (Lect. Notes Math., vol. 349) Berlin Heidelberg New York: Springer 1973
Deligne, P., Ribet, K.: Values of AbelianL-functions at negative integers over totally real fields. Invent. Math.59, 227–286 (1980)
Drinfeld, V.G.: Two theorems on modular curves. Funct. Anal. App.7, 155–156 (1973)
Faltings, G.: Endlichkeitssätze für abelsche Varietäten über Zahlkörpern. Invent. Math.73, 349–366 (1983)
Greenberg, R.: Iwasawa theory forp-adic representations. (To appear in Adv. Stud. Pure Math.17)
Gross, B.H.: Arithmetic on elliptic curves with complex multiplication. (Lect. Notes Math., vol. 776) Berlin Heidelberg New York: Springer 1980
Katz, N.:P-adicL-functions via moduli of elliptic curves. Algebraic Geometry Arcata 1974, Proc. Symp. Pure Math.29, 479–506 (1975)
Manin, J.: Parabolic points and zeta functions of modular curves (Russian). Izv. Akad. Nauk SSSR Ser. Mat.36, 19–65 (1972). Engl. transl. in Math. USSR-Izv.6, 19–64 (1972)
Mazur, B.: On the arithmetic of special values ofL-functions. Invent. Math.55, 207–240 (1979)
Mazur, B.: Rational isogenies of prime degree. Invent. Math.44, 129–162 (1978)
Mazur, B., Swinnerton-Dyer, P.: Arithmetic of Weil curves. Invent. Math.25, 1–16 (1974)
Mazur, B., Tate, J.: Refined conjectures of the ‘Birch and Swinnerton-Dyer type’. Duke Math. J.54, 711–750 (1987)
Mazur, B., Tate, J., Teitelbaum, J.: Onp-adic analogues of the conjectures of Birch and Swinnerton-Dyer. Invent. Math.84, 1–48 (1986)
Raynaud, M.: Schémas en groupes de type (p, ...p). Bull. Soc., Math. Fr.102, 241–280 (1974)
Rubin, K.: Congruences for special values ofL-functions of elliptic curves with complex multiplication. Invent. Math.71, 339–364 (1983)
Shimura, G.: Introduction to the arithmetic theory of automorphic forms. Publications of the Mathematical Society of Japan 11. Princeton: Princeton University Press 1971
Stevens, G.: Atithmetic on modular curves. Progr. Math. 20. Boston: Birkhäuser 1982
Stevens, G.: The cuspidal group and special values ofL-functions. Trans. Am. Math. Soc.291, 519–549 (1985)
Swinnerton-Dyer, P., et al.: table 1; Modular functions of one variable (Lect. Notes Math., vol. 476, pp. 81–113) Berlin Heidelberg New York: Springer 1975
Tate, J.: Algorithm for determining the type of a singular fiber in an elliptic pencil. In: Birch, B., Kuijk, W. (eds.) Modular functions of one variable. (Lect. Notes Math., vol. 476, pp. 33–52) Berlin Heidelberg New York: Springer 1975
Wohlfahrt, K.: An extension of F. Klein's level concept. Ill. J. Math.8, 529–535 (1964)
Author information
Authors and Affiliations
Additional information
Research supported by the National Science Foundation.
Rights and permissions
About this article
Cite this article
Stevens, G. Stickelberger elements and modular parametrizations of elliptic curves. Invent Math 98, 75–106 (1989). https://doi.org/10.1007/BF01388845
Issue Date:
DOI: https://doi.org/10.1007/BF01388845