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arxiv: 1605.09205 · v2 · pith:IMDOQ5LBnew · submitted 2016-05-17 · 🧮 math.NT

On some remarkable congruences between two elliptic curves

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keywords curvesellipticcongruencesexhibitgaloisisomorphicmodulesnon-isogenous
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We exhibit two non-isogenous rational elliptic curves with $17$-torsion subgroups isomorphic as Galois modules.

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