References
Abramovich, D., Harris, J.: Abelian Varieties and curves inW d (C). (Preprint)
Deligne, P., Rapoport, M.: Schémas de modules de courbes elliptique. (Lect. Notes Math., vol. 349) Berlin Heidelberg New York: Springer 1980
Faltings, G.: Diophantine Approximation on Abelian Varieties. (Preprint)
Frey, G.: Families of Elliptic Curves with Bounded Torsion. (Preprint)
Kamienny, S.: Letter to K. Ribet.
Kamienny, S.: On the torsion subgroups of elliptic curves over totally real fields. Invent. Math.83, 545–551 (1986)
Kamienny, S.: Points of Orderp on Elliptic Curves over ℚ\(\left( {\sqrt p } \right)\). Math. Ann.261, 413–424 (1982)
Kamienny, S.: Torsion Points on Elliptic Curves. Bull. Am. Math. Soc.23 (No. 2), 371–373 (1990)
Kamienny, S.: Torsion Points on Elliptic Curves over fields of higher degree, to appear in IMRN
Kamienny, S.: Torsion Points on Elliptic Curves over all Quadratic Fields. Duke Math. J.53, 157–162 (1986)
Kamienny, S.: Torsion Points on Elliptic Curves over all Quadratic Fields II. Bull. Soc. Math. Fr.114, 119–122 (1986)
Kubert, D.: Universal Bounds on the Torsion of Elliptic Curves. Proc. Lond. Math. Soc.33, 192–237 (1976)
Kubert, D.: Universal Bounds on the Torsion of Elliptic Curves. Compos. Math.38, 121–128 (1979)
Lenstra, H.: Letter dated March 18, 1990
Manin, Y.: A uniform bound forp-torsion in elliptic curves. Izv. Akad. Nauk. CCCP33, 459–465 (1969)
Mazur, B.: Kamienny's recent work on torsion on the Mordell-Weil group of elliptic curves over quadratic fields. Quebec-Vermont Number Theory Seminar (1990–91)
Mazur, B.: Letter dated February 14, 1990
Mazur, B.: Modular Curves and the Eisenstein Ideal. Publ. Math., Inst. Hautes Etud. Sci.47, 33–186 (1978)
Mazur, B.: Rational Isogenies of Prime Degree. Invent. Math.44, 129–162 (1978)
Milne, J.S.: Jacobian Varieties. In: Cornell, G. Silvermann, J. (eds.) Arithmetic Geometry, pp. 167–212. Berlin Heidelberg New York. Springer 1986
Ogg, A.: Hyperelliptic Modular Curves. Bull. Soc. Math. Fr.102, 449–462 (1974)
Ogg, A.: Rational Points of Finite Order on Elliptic Curves. Invent. Math.12, 105–111 (1971)
Ogg, A.: Rational Points on Certain Elliptic Modular Curves. In: Diamond, H.G. (ed.) Analytic number theory. (Proc. Symp. Pure Math., vol. 24, pp. 221–231) Providence, RI: Am. Math. Soc. 1973
Oort, F., Tate, J.: Group Schemes of Prime Order. Ann. Sci. Éc. Norm. Supér., IV. Ser.3, 1–21 (1970)
Serre, J.-P., Tate, J.: Good Reduction of Abelian Varieties. Ann. Math.88, 492–517 (1968)
Wada, H.: Tables of characteristic polynomials of Hecke Operators.
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Oblatum 25-II-1991
Partially supported by grants from NSA, NSF, and the Sloan Foundation
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Kamienny, S. Torsion points on elliptic curves andq-coefficients of modular forms. Invent Math 109, 221–229 (1992). https://doi.org/10.1007/BF01232025
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DOI: https://doi.org/10.1007/BF01232025