What was already known
Modularity over the rationals and known special classes over other fields do not supply the unrestricted imaginary-quadratic result. Matching good-prime point counts alone is also a narrower assertion.
What changed and why it matters
Establishes the unrestricted imaginary-quadratic elliptic-curve modularity target with full local compatibility.
The AI contribution
OpenAI attributes these manuscripts to its internal model. The entry does not infer individual human contributions beyond that publisher attribution.
Limitations
The base fields are imaginary quadratic. The statement does not claim modularity for elliptic curves over all number fields or all higher-dimensional abelian varieties. Preprint. This is a source-statement and significance assessment, not a proof audit. No independent checking or successful formal compilation is asserted by this entry.
Verification evidence
Evidence labels show what supports the claim. Importance rates its impact if correct.
Author claim
The publisher reports the scoped result. AIProofWatch has not independently validated its correctness.
Accessible artifact / proof
The original written argument is accessible. Availability does not establish a successful proof check or Lean verification.
Correction and publication history
Historical report added after statement, scope, and importance review. No proof audit or formal checking asserted; subscriber alerts disabled.
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