No $17$-torsion on elliptic curves over cubic number fields
نویسندگان
چکیده
منابع مشابه
No 17-torsion on elliptic curves over cubic number fields
Consider, for d an integer, the set S(d) of prime numbers p such that: there exists a number field K of degree d, an elliptic curve E overK, and a point P in E(K) of order p. It is a well-known theorem of Mazur, Kamienny, Abramovich and Merel that S(d) is finite for every d; moreover S(1) and S(2) are known. In [7], we tried to answer a question of Kamienny and Mazur by determining S(3), and we...
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ژورنال
عنوان ژورنال: Journal de Théorie des Nombres de Bordeaux
سال: 2003
ISSN: 1246-7405
DOI: 10.5802/jtnb.428