Discovering Unexpected Patterns in Elliptic Curves Using Artificial Intelligence

Mathematicians have discovered unexpected patterns in elliptic curves using artificial intelligence. Elliptic curves are one of the most fascinating objects in modern mathematics. The Birch and Swinnerton-Dyer conjecture provides new insights into solving mathematical challenges. A key tool in modern cryptography, the statistical properties conjecture of elliptic curves is one of the Millennium Prize Problems. In 2022, a transatlantic collaborative team discovered new patterns called 'murmurations', which resemble the flight structures of flocks of birds. Mathematicians explain the patterns behind 'murmurations'.