← BSD Conjecture · Phase 2

Phase 2: Non-Semistable Families

Curve 696.e1 Explicit Twist Family · 40 / 40 COMPLETE

The Banwait–Huang method itself requires the structural restriction of semistability. The goal of Phase 2 is to construct explicit strong-BSD twist families for the non-semistable curves it does not cover, using Fouquet–Wan's arbitrary-reduction Iwasawa Main Conjecture. The core difficulty is compressing the infinite quantifier "must verify for $\forall p>2$" into a finite, replayable exceptional-prime certificate — not claiming to prove BSD, each document only answers which curves/primes the clearly compiled conditions hold for.

40 / 40 COMPLETE. Read in the order of the original documents. The true total is 40 documents (corrected from the initial estimate of 33): 29 main thread documents (v0.1 NonSemistable Bridge → v0.2 FW Compiler → v0.3 First NonSemistable Family → v0.4 696e1 Referee Audit, consecutively numbered 00-28), plus an independent "Witness-Network / FW_H2" auxiliary branch of 11 documents (three theorem-note papers credited to Neo.K + the local isogeny compiler for the FW-H2 condition) — this branch was completely missed in the initial estimate and was filled in after discovery. The main thread concludes at "DERIVED THEOREM CANDIDATE" (696.e1 explicit twist family, novelty pending check), and the side branch concludes by standardizing the FW_H2 criterion into an executable function that requires a complete, replayable output.

Online Documents · Mainline

Online Documents · Witness-Network / FW_H2 Side Branch

Another line parallel to the mainline, with the same 696.e1 result, but written as a formal paper with Neo.K named, numbered Lemmas/Propositions, and real literature citations, abstracting the proof for a single curve into a reusable general criterion version by version. 11 documents, consecutively numbered.