An elliptic curve of rank ≥ 30
robinhouston
93 points
27 comments
August 20, 2026
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Discussion Highlights (4 comments)
zenburnmyface
Want to understand this more? Read the triplet of books by Ash and Gross, specially Elliptical Tales
dwrensha
I'm the maintainer of the linked website. This morning, a mysterious user named "ranksunbounded" submitted the linked curve, which has rank at least thirty. This breaks the previous record of 29 found by Elkies and Klagsbrun in 2024. Nobody knows whether it is possible to achieve arbitrarily high ranks.
great_psy
Can we have a tldr of the implications of this for the uninitiated?
gpvos
BSD = https://en.wikipedia.org/wiki/Birch_and_Swinnerton-Dyer_conjecture GRH = https://en.wikipedia.org/wiki/Generalized_Riemann_hypothesis