Thuses

Math discussions

  • login
  • register
  • write a post
  • about
  • FAQ
  • support Thuses
  • updates
Tag: galois-cohomology

The rank of \(y^2 = x^3 - 2\) via Mazur-Tate methods

When I was a young kid, I heard the mathematical fact that the only (positive) integer that is one more than a square and one less than a cube is \(26\). Said differently, the only integer solutions \((x,y)\) to \(y^2 = x^3 - 2\) are given by \((3,\pm 5)\). There are elementary methods to prove this, using …

△
4
▽
Views: 391
Posted by David Benjamin LimAugust 10, 2021Posted in number theoryLeave a comment on The rank of \(y^2 = x^3 - 2\) via Mazur-Tate methods