Geodesic
Rational torsion points on elliptic curves over number fields
Séminaire Bourbaki : volume 1993/94, exposés 775-789, Astérisque, no. 227 (1995), Exposé no. 782, 19 p.

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Edixhoven, Bas. Rational torsion points on elliptic curves over number fields, dans Séminaire Bourbaki : volume 1993/94, exposés 775-789, Astérisque, no. 227 (1995), Exposé no. 782, 19 p.. http://geodesic.mathdoc.fr/item/SB_1993-1994__36__209_0/
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[1] D. Abramovich. Formal finiteness and the uniform boundedness conjecture, a footnote to a paper of Kamienny and Mazur. Preprint March 1993. To appear in an Astérisque volume. | MR

[2] P. Deligne, M. Rapoport. Les schémas de modules des courbes elliptiques. In Modular Functions of One Variable II. Springer Lecture Notes in Mathematics 349 (1973). | Zbl | MR

[3] G. Faltings. The general case of S. Lang's conjecture. To appear in "The Barsotti symposium in algebraic geometry", W. Messing and V. Christante, eds. Acad. Press, Cambridge, Mass. | Zbl | MR

[4] G. Frey. Links between solutions of A - B = C and elliptic curves. Number theory, Ulm 1987. Lecture Notes in Mathematics 1380. | Zbl

[5] G. Frey. A remark on isogenies of elliptic curves defined over quadratic fields. Compos. Math. 58, 133-134 (1986). | Numdam | Zbl | MR | EuDML

[6] G. Frey. Curves with infinitely many points of fixed degree. Preprint, Institut für Experimentelle Mathematik (1992). | MR | Zbl

[7] D. Bump, S. Friedberg and J. Hoffstein. Nonvanishing theorems for L -functions of modular forms and their derivatives. Invent. Math. 102, 543-618 (1990). | Zbl | MR | EuDML | DOI

[8] S. Kamienny. Torsion points on elliptic curves and winding homomorphisms. MSRI preprint, December 1993. | MR | Zbl

[9] S. Kamienny, B. Mazur. Rational torsion of prime order in elliptic curves over number fields. To appear in an Astérisque volume. | Zbl | MR | Numdam

[10] N. M. Katz, B. Mazur. Arithmetic moduli of elliptic curves. Annals of Mathematics Studies 108, Princeton University Press (1985). | Zbl | MR

[11] M. Kenku, F. Momose. Torsion points on elliptic curves defined over quadratic fields. Nagoya Mathematical Journal 109, 125-149 (1988). | Zbl | MR | DOI

[12] V. A. Kolyvagin, D. Logachev. Finiteness of the Shafarevich-Tate group and group of rational points for some modular abelian varieties. Leningrad Math. J. 1, 1229-1253 (1990). | Zbl | MR

[13] D. Kubert. Universal bounds on the torsion of elliptic curves. Proceedings London Math. Soc. (3) 33, 193-237 (1976). | Zbl | MR | DOI

[14] J. Lehner, M. Newman. Weierstrass points of Γ 0 ( N ) . Annals of Mathematics 79, No. 2, 360-368 (1963). | Zbl | DOI

[15] B. Levi. Sull'equazione indeterminata del 3° ordine. Atti del IV congresso internazionale dei matematici, Roma, 6-11 Aprile 1908, G. Castelnuovo editor. | JFM

[16] Y. Manin. A uniform bound for p -torsion in elliptic curves. Izv. Akad. Nauk. CCCP 33, 459-465 (1969). | Zbl

[17] B. Mazur. Modular curves and the Eisenstein ideal. Publications Mathématiques de l'IHES 47, 33-186 (1977). | Numdam | Zbl | MR | EuDML | DOI

[18] B. Mazur. Rational isogenies of prime degree. Invent. Math. 44, 129-162 (1978). | Zbl | MR | EuDML | DOI

[19] B. Mazur and J-P.. Serre. Points rationnels des courbes modulaires X 0 ( N ) . Séminaire Bourbaki exp. 469 (1974-1975). Lecture Notes in Mathematics 514, 238-255 (1976). | Numdam | Zbl | MR | EuDML

[20] L. Merel. Bornes pour la torsion des courbes elliptiques sur les corps de nombres. To appear. | Zbl | MR | DOI

[21] M. R. Murty and V. K. Murty. Mean values of derivatives of modular L -series. Ann. Math. 133, 447-475 (1991). | Zbl | MR | DOI

[22] A. Ogg. Rational points of finite order on elliptic curves. Invent. Math. 12, 105-111 (1971). | Zbl | MR | EuDML | DOI

[23] J-P. Serre. p -torsion des courbes elliptiques (d'après Y. Manin). Séminaire Bourbaki exp. 380 (1969-1970). Lecture Notes in Mathematics 180, 281-294 (1971). | Numdam | Zbl | EuDML

[24] A. Silverberg. Points of finite order on abelian varieties. Contemporary Mathematics 133, 175-193 (1992). | Zbl | MR | DOI