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On the class numbers of the fields of the p^n-torsion points of elliptic curves over \protect \mathbb{Q}
Let E be an elliptic curve over ℚ which has multiplicative reduction at a fixed prime p. Assume E has multiplicative reduction or potentially good reduction at any prime not equal to p. For each positive integer n we put K n :=ℚ(E[p n ]). The aim of this paper …