Back to Problems

avg_rank_lt_0885

Specification

Theorem 3 of [BS2013]: when elliptic curves over ℚ are ordered by height, their average rank is < .885.

Actions

Submit a Proof

Have a proof attempt? Submit it for zero-trust verification.

Submit Proof
Lean 4 Statement
theorem avg_rank_lt_0885 :
    atTop.limsup (fun H ↦ ((∑ᶠ E : heightLE H, E.1.rank) / (heightLE H).ncard : ℝ)) < 0.885
ID: Wikipedia__EllipticCurveRank__avg_rank_lt_0885
Browse 300 unsolved math conjectures formalized in Lean 4
Browse

All Problems

Explore all 300 unsolved conjectures.

View problems →
ASI Prize documentation for formal verification pipeline
Docs

Verification Pipeline

How zero-trust verification works.

Read docs →
Evaluation Results

Recent Submissions

No submissions yet. Be the first to attempt this problem.