Torsion of elliptic curves with rational j-invariant defined over number fields of prime degree

2019/12/09 by Gužvić, Tomislav
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1912.04037

Abstract

Let [K:ℚ]=p be a prime number and let E/K be an elliptic curve with j(E) ∈ ℚ. We determine the all possibilities for E(K)_tors. We obtain these results by studying Galois representations of E and of it's quadratic twists.

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