Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Ribet’s theorem | Statement: [Taniyama–Shimura–Weil conjecture, relatedTo, Ribet’s theorem]

Target entity: Ribet’s theorem
Context triple: [Taniyama–Shimura–Weil conjecture, relatedTo, Ribet’s theorem]

• A. Ribet's theorem chosen
  Ribet's theorem is a result in number theory that linked certain modular forms to Galois representations and played a crucial role in the proof of Fermat's Last Theorem.
• B. modularity theorem for elliptic curves over Q
  The modularity theorem for elliptic curves over Q is a landmark result in number theory stating that every elliptic curve defined over the rational numbers corresponds to a modular form, a fact central to the proof of Fermat’s Last Theorem.
• C. Taniyama–Shimura–Weil conjecture
  The Taniyama–Shimura–Weil conjecture, now the modularity theorem, asserts that every elliptic curve over the rational numbers is modular and played a central role in the proof of Fermat’s Last Theorem.
• D. Faltings' theorem
  Faltings' theorem is a landmark result in arithmetic geometry that proves every algebraic curve of genus greater than one over a number field has only finitely many rational points.
• E. Fontaine–Mazur conjecture
  The Fontaine–Mazur conjecture is a central open problem in number theory that predicts which p-adic Galois representations of number fields arise from geometry or from automorphic forms.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.