An Elliptic Curve with Rank $\ge$ 29 has been found

more math news from Mathstodon


Post by @robinhouston@mathstodon.xyz
View on Mastodon

This Reddit thread from r/math is very interesting. Elliptic curves are super-important in number theory. Many unsolved problems depend on our understanding of elliptic curves. I remember reading all I could about Fermat’s Last Theorem in 2021 and learning the basics of elliptic curves so I could get a rudimentary understanding of the Taniyama-Shimura conjecture. Most elliptic curves have ranks of 0 or 1, so finding curves with higher ranks is very hard. I mean, look at the coefficients!