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Points of order 13 on elliptic curves. (English) Zbl 0268.14009


MSC:

14G05 Rational points
14H45 Special algebraic curves and curves of low genus
14H25 Arithmetic ground fields for curves
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References:

[1] Blass, J.: Points of order 13 on elliptic curves. (A. M. S. Announcement)
[2] Masley, J.: On the class number of abelian number fields. Ph.D. dissertation. Princeton University, 1972
[3] Mazur, B.: Rational points on abelian varieties with values in towers of number fields. Inventiones math.18, 183-266 (1972) · Zbl 0245.14015
[4] 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
[5] 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) · Zbl 0195.50801
[6] Weil, A.: Variétés abéliennes et courbes algébriques, Publications de l’Institut de Mathématique de l’Université de Strasbourg (1948). Paris: Hermann Cie
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