Given an elliptic curve \(E\) over a field \(k\), its \(p\)-torsion
\(E[p]\) gives a 2-dimensional representation of the Galois group
\(G_k\) over \(\mathbb F_p\). The Frey-Mazur conjecture asserts
that for \(k= \mathbb Q\) and \(p > 13\), \(E\) is...
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