Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 030-01. Modularity of elliptic curves over imaginary quadratic fields

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Authors: OpenAI. Family 030.

Title: Modularity of elliptic curves over imaginary quadratic fields.

Abstract: We prove the modularity conjecture for elliptic curves over imaginary quadratic fields: every such curve is modular, with matching local parameters at every place.

This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.

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