References
Blass, J.: Points of order 13 on elliptic curves. (A. M. S. Announcement)
Masley, J.: On the class number of abelian number fields. Ph.D. dissertation. Princeton University, 1972
Mazur, B.: Rational points on abelian varieties with values in towers of number fields. Inventiones math.18, 183–266 (1972)
Ogg, A.: Rational points on certain elliptic modular curves. Talk given at AMS Symposium on Analytic Number Theory and Related Parts of Analysis. St. Louis, 1972. Mimeographed notes, Berkeley
Oort, F., Tate, J.: Group schemes of prime order. Annales Scient. de l'Ecole Norm. Sup., 4e serie T. 3, fasc. 1, 1–21 (1970)
Weil, A.: Variétés abéliennes et courbes algébriques, Publications de l'Institut de Mathématique de l'Université de Strasbourg (1948). Paris: Hermann Cie
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mazur, B., Tate, J. Points of order 13 on elliptic curves. Invent Math 22, 41–49 (1973). https://doi.org/10.1007/BF01425572
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01425572