The Boot Sequence: BSD at Rank 0 on the Compiler's First Curve

Paper 140 validated the quintic compiler at rank 1, verifying the five-factor grammar on the curve 37a1 (ε = −1, gate open). This paper completes the rank 0 channel by running the compiler on 11a1: the elliptic curve y² + y = x³ − x² − 10x − 20, which is the modular curve X₀(11) and the curve of smallest conductor in the Cremona database. The parity gate is closed (ε = +1): the archimedean ψ-mode (ε_∞ = −1) is cancelled by the split multiplicative ψ-mode at 11 (w₁₁ = −1), giving ε = (−1)(−1) = +1. No zero is forced at s = 1, and L(E, 1) ≠ 0 confirms rank 0. The five-factor grammar produces L(E, 1) = Ω · c₁₁ · |Sha| / |E(ℚ)_tors|² = 1.269209 × 5 × 1 / 25 = Ω/5. The rational BSD quotient is 1/5 — the quintic…