An elliptic curve is an algebraic curve of genus one with some additional properties. Questions with this tag will often have the top-level tags nt.number-theory or ag.algebraic-geometry in addition; note also the tag arithmetic-geometry as well as some related tags such as rational-points, abelian-varietes, heights. Please do not use this tag for questions related to ellipses; instead use conic-sections.
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Are there nonisotrivial elliptic curves over $\mathbb{G}_m$?Are there nonisotrivial elliptic curves over $\mathbb{G}_m$?
Eichler-Shimura congruence
Is elliptic curve point division defined over the field of real numbers?
Elliptic curves with maximal order in an imaginary field
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nt.number-theory × 311
ag.algebraic-geometry × 171
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rational-points × 9
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