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An elliptic curve over a commutative ring $R$ is an elliptic scheme $E \to \operatorname{Spec} R$.

For example, an elliptic curve over $\Z[1/N]$ is the same as an elliptic curve over $\Q$ with good reduction at all primes not dividing $N$. (More precisely, the latter is the generic fiber of the former.)

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  • Review status: reviewed
  • Last edited by Bjorn Poonen on 2022-03-25 19:41:31
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