Let E be a central ℚ-curve over a polyquadratic field k. In this article we give an upper bound for prime divisors of the order of the k-rational torsion subgroup Etors(k) (see Theorems 1.1 and 1.2). The notion of central ℚ-curves is a generalization of that of elliptic curves over ℚ. Our result is a generalization of Theorem 2 of Mazur , and it is a precision of the upper bounds of Merel  and Oesterlé .
ASJC Scopus subject areas
- Algebra and Number Theory