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Does torsor of an elliptic curve extend to torsor of its Neron model?

Any non-trivial $E$-torsor over $\mathbb{Q}_p$ will give you an example. Let me be more precise. Let $E$ be an elliptic curve over $K=\mathrm{Frac}(R)$. Assume that $E$ has good reduction over $R$. L …
Ariyan Javanpeykar's user avatar