18.783 Elliptic Curves, Lecture 1¶
Sutherland, A. V. (2013). 18.783 Elliptic Curves, Lecture 1.
Cited by¶
1 citation across 1 artifact.
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Domain-specific¶
- Mordell–Weil Rank of an Elliptic Curve
- Tensoring with \(\mathbb Q\) removes finite torsion and converts the free part into a vector space, exposing rank as an invariant count rather than a choice of generators.
This sourceStates Mordell's theorem over \(\mathbb Q\), the decomposition \(E(\mathbb Q)\cong T\oplus\mathbb Z^r\), and the definitions of torsion and rank.
- Tensoring with \(\mathbb Q\) removes finite torsion and converts the free part into a vector space, exposing rank as an invariant count rather than a choice of generators.
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