Mathematicians have utilized artificial intelligence to uncover unexpected patterns in elliptic curves, which resemble the formations of birds in collective flight. Their findings have deepened our understanding of elliptic curves and provided new insights for solving millennium problems. Elliptic curves play a significant role in modern mathematics, contributing to both cryptography and challenging conjectures. In 2022, a transatlantic collaborative team discovered entirely unexpected patterns in elliptic curves using statistical techniques and AI, which were named "murmurations." This discovery has brought new perspectives to the mathematical community. The application of machine learning has allowed mathematicians to delve into the logical relationships behind the patterns in elliptic curves, revealing new research directions and discoveries.