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twentyone_le_rank_height_count_asymptotic
Specification
[PPVW2016] 8.2(c): the number of elliptic curves over ℚ with rank ≥ 21 and naïve height at most `H` is asymptotically at most `H ^ o(1)`.
Lean 4 Statement
theorem twentyone_le_rank_height_count_asymptotic :
∃ f : ℕ → ℝ, atTop.Tendsto f (𝓝 0) ∧
∀ H : ℕ, 1 < H → {E ∈ heightLE H | 21 ≤ E.rank}.ncard ≤ (H : ℝ) ^ f H
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