@incollection{SB_1993-1994__36__209_0, author = {Edixhoven, Bas}, title = {Rational torsion points on elliptic curves over number fields}, booktitle = {S\'eminaire Bourbaki : volume 1993/94, expos\'es 775-789}, series = {Ast\'erisque}, note = {talk:782}, pages = {209--227}, publisher = {Soci\'et\'e math\'ematique de France}, number = {227}, year = {1995}, mrnumber = {1321648}, zbl = {0832.14024}, language = {en}, url = {https://www.numdam.org/item/SB_1993-1994__36__209_0/} }
TY - CHAP AU - Edixhoven, Bas TI - Rational torsion points on elliptic curves over number fields BT - Séminaire Bourbaki : volume 1993/94, exposés 775-789 AU - Collectif T3 - Astérisque N1 - talk:782 PY - 1995 SP - 209 EP - 227 IS - 227 PB - Société mathématique de France UR - https://www.numdam.org/item/SB_1993-1994__36__209_0/ LA - en ID - SB_1993-1994__36__209_0 ER -
%0 Book Section %A Edixhoven, Bas %T Rational torsion points on elliptic curves over number fields %B Séminaire Bourbaki : volume 1993/94, exposés 775-789 %A Collectif %S Astérisque %Z talk:782 %D 1995 %P 209-227 %N 227 %I Société mathématique de France %U https://www.numdam.org/item/SB_1993-1994__36__209_0/ %G en %F SB_1993-1994__36__209_0
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. https://www.numdam.org/item/SB_1993-1994__36__209_0/
[1] 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] Les schémas de modules des courbes elliptiques. In Modular Functions of One Variable II. Springer Lecture Notes in Mathematics 349 (1973). | MR | Zbl
, .[3] 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. | MR | Zbl
.
[4] Links between solutions of
[5] A remark on isogenies of elliptic curves defined over quadratic fields. Compos. Math. 58, 133-134 (1986). | EuDML | Numdam | MR | Zbl
.[6] Curves with infinitely many points of fixed degree. Preprint, Institut für Experimentelle Mathematik (1992). | MR | Zbl
.
[7] Nonvanishing theorems for
[8] Torsion points on elliptic curves and winding homomorphisms. MSRI preprint, December 1993. | MR | Zbl
.[9] Rational torsion of prime order in elliptic curves over number fields. To appear in an Astérisque volume. | Numdam | MR | Zbl
, .[10] Arithmetic moduli of elliptic curves. Annals of Mathematics Studies 108, Princeton University Press (1985). | MR | Zbl
, .[11] Torsion points on elliptic curves defined over quadratic fields. Nagoya Mathematical Journal 109, 125-149 (1988). | DOI | MR | Zbl
, .[12] Finiteness of the Shafarevich-Tate group and group of rational points for some modular abelian varieties. Leningrad Math. J. 1, 1229-1253 (1990). | MR | Zbl
, .[13] Universal bounds on the torsion of elliptic curves. Proceedings London Math. Soc. (3) 33, 193-237 (1976). | DOI | MR | Zbl
.
[14] Weierstrass points of
[15] Sull'equazione indeterminata del 3° ordine. Atti del IV congresso internazionale dei matematici, Roma, 6-11 Aprile 1908, G. Castelnuovo editor. | JFM
.
[16] A uniform bound for
[17] Modular curves and the Eisenstein ideal. Publications Mathématiques de l'IHES 47, 33-186 (1977). | DOI | EuDML | Numdam | MR | Zbl
.[18] Rational isogenies of prime degree. Invent. Math. 44, 129-162 (1978). | DOI | EuDML | MR | Zbl
.
[19] Points rationnels des courbes modulaires
[20] Bornes pour la torsion des courbes elliptiques sur les corps de nombres. To appear. | DOI | MR | Zbl
.
[21] Mean values of derivatives of modular
[22] Rational points of finite order on elliptic curves. Invent. Math. 12, 105-111 (1971). | DOI | EuDML | MR | Zbl
.
[23]
[24] Points of finite order on abelian varieties. Contemporary Mathematics 133, 175-193 (1992). | DOI | MR | Zbl
.