Im reading Mazur's Proof of his famous theorem for the torsion of elliptic curves. He points to a result that given an elliptic curve over a given local field, there is a field extension of ramification degree not bigger than 6, over which the given curve has at least multiplicative type reduction. He cites a paper as reference for this fact (https://wstein.org/papers/bib/Serre-Tate-Good_Reduction_of_Abelian_Varieties.pdf) but I don't seem to find said result in it. Any idea where I can learn more about it?
2026-03-25 12:49:57.1774442997
What is a good reference for an elliptic curve over a local field having a semi-stable Neron model over a field extension of degree $\le6$?
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