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Ciro Santilli @cirosantilli 37

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 Incoming links: Domain of an elliptic curve

Birch and Swinnerton-Dyer conjecture in two minutes by Ciro Santilli  Updated 2025-05-29  +Created 1970-01-01
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Summary:
  • overview of the formula of the BSD conjecture
  • definition of elliptic curve
  • domain of an elliptic curve. Prerequisite: field
  • elliptic curve group. Prerequisite: group
  • Mordell's theorem lets us define the rank of an elliptic curve over the rational numbers, which is the r. Prerequisite: generating set of a group
  • reduction of an elliptic curve from E(Q) to E(Fp​)modp lets us define Nr​ as the number of elements of the generated finite group
Video 1. Source.
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