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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- Last edited by Bjorn Poonen on 2022-03-25 19:41:31

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- 2022-03-25 19:41:31 by Bjorn Poonen (Reviewed)