Torsion of rational elliptic curves over the cyclotomic extensions of Q

Let $n$ be a positive integer and $\zeta_n = e^{\frac{2\pi i}{n}}$ be a primitive $n$-th root of unity. Let $E$ be an elliptic curve defined over $\mathbb{Q}.$ In this thesis, our aim is to classify the groups that can arise as $E(\mathbb{Q}(\zeta_n))_{tors}$ up to isomorphism.