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Algebra

Algebraic geometry

Elliptic curve

Domain of an elliptic curve

Elliptic curve over the rational numbers

Birch and Swinnerton-Dyer conjecture

BSD conjecture bibliography

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{title2=2023}

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(\F_p) \mod p> lets us define $N_r$ as the number of elements of the generated finite group

\Video[https://www.youtube.com/watch?v=84ig5cih4kI]


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

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

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

 Ancestors (10)

 Incoming links (1)

Discussion (0) Subscribe (1)

Articles by others on the same topic (0)

Discussion (0)