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by Ciro Santilli (@cirosantilli, 37)

Birch and Swinnerton-Dyer conjecture in two minutes by Ciro Santilli (2023)

 ... Algebraic geometry Elliptic curve Domain of an elliptic curve Elliptic curve over the rational numbers Birch and Swinnerton-Dyer conjecture BSD conjecture bibliography
 0 By others on same topic  0 Discussions  Updated 2025-05-23  +Created 1970-01-01  See my version
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
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  1. BSD conjecture bibliography
  2. Birch and Swinnerton-Dyer conjecture
  3. Elliptic curve over the rational numbers
  4. Domain of an elliptic curve
  5. Elliptic curve
  6. Algebraic geometry
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