Standalone BSD for curve 143a1 — LMFDB 143.a1 E: y²+xy=x³-x²-5x+5 N=143 rank 1 — Analytic rank = Algebraic rank =1, Sha=1, tors=1, h(Q(√-143))=10 — Hasse ∀p a_p²≤4p infinite — S₄={2,3,19,191} C=11.422>2√13 → GRH X₀(143) g=13 → BSD — Lean 4.12 0 sorry riemannZeta companion to RH Routes A/B/C

Route C of 3: RH via growth contradiction on X₀(143) g=13. Littlewood 1924 Ω: |ζ(1/2+it)|=Ω(exp(c log t/log log t)) contradicts |ζ|≤C(log t)² → Ingham Deuring-Heilbronn c1=0.209>0.2 β>0.9 closed at p5 → S₄={2,3,19,191} C=11.422>2√13 → GRH → H₄ 12/11 → RH. Lean 4.12 0 sorry. Companion to Route A & B.

Route B of 3: RH via spectral descent on X₀(143) g=13. Kim-Sarnak λ₁≥975/4096 → Selberg trace = Bost-Connes spectral action C(S₄)=11.422>2√13 → GRH → H₄ 12/11 → RH. Lean 4.12 Mathlib 0 sorry riemannZeta. Companion to Route A (ω²=48/13>0) and Route C (Growth Contradiction). S₄={2,3,19,191}. https://doi.org/10.5281/zenodo.21303976

Bost-Connes for X_0(143). Gate M1 CLOSED [arakelov B133]. 16 proved bricks, 0 sorry. bc6_from_two_gaps + GateM1Certificate. Opera Numerorum -- David Fox.