A Rank-$31$ Record for an Elliptic Curve over $\mathbb{Q}$

Lineage and corrections

This event attributed to Ava Howell

This event attributed to Levent Alpöge

This event attributed to Claude

Two tiers, and only the first is the record. Rank $\ge 31$ is unconditional: 31 explicit points, independence asserted via the leaderboard's stated general practice of exact 2-descent (not reproduced here - see the verification note). Rank exactly 31 is conditional on GRH and BSD, per the submitters' commentary, in the same style as the sibling record's Bober-bound argument; no numeric derivation has been published for this curve specifically. The entry is a partial result because the open question - whether ranks are unbounded at all - remains unanswered by any single record. parent of this event

VibeMathed record: A Rank-$31$ Record for an Elliptic Curve over $\mathbb{Q}$ evidence for this event

Curve data as JSON, including all thirty-one witness points evidence for this event

Bober, conditionally bounding analytic ranks evidence for this event

Dujella's history of elliptic curve rank records evidence for this event

A Rank-$31$ Record for an Elliptic Curve over $\mathbb{Q}$ parent of this event

A Rank-$31$ Record for an Elliptic Curve over $\mathbb{Q}$ evidence for this event