Ranks of elliptic curves
Copyright policy )Ranks of elliptic curves
This paper gives a general survey of ranks of elliptic curves over the field of rational numbers. The rank is a measure of the size of the set of rational points. The paper includes discussions of the Birch and Swinnerton-Dyer Conjecture, the Parity Conjecture, ranks in families of quadratic twists, and ways to search for elliptic curves of large rank.
- The Ohio State University United States
- Stanford University United States
\(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Elliptic curves over global fields, Research exposition (monographs, survey articles) pertaining to number theory, Elliptic curves, Rational points
\(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Elliptic curves over global fields, Research exposition (monographs, survey articles) pertaining to number theory, Elliptic curves, Rational points
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