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: Fermat’s Last Theorem | Statement: [Beal conjecture, generalizes, Fermat’s Last Theorem]

Target entity: Fermat’s Last Theorem
Context triple: [Beal conjecture, generalizes, Fermat’s Last Theorem]

• A. Fermat's Last Theorem chosen
  Fermat's Last Theorem is a famous statement in number theory asserting that there are no whole-number solutions to the equation xⁿ + yⁿ = zⁿ for integers n greater than 2, a problem that remained unsolved for over three centuries until it was proved by Andrew Wiles in the 1990s.
• B. Ribet's theorem
  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.
• C. Catalan’s conjecture
  Catalan’s conjecture is a number theory statement, now proven as Mihăilescu’s theorem, asserting that 8 and 9 are the only consecutive perfect powers among the positive integers.
• D. 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.
• E. Birch and Swinnerton-Dyer Conjecture
  The Birch and Swinnerton-Dyer Conjecture is a central unsolved problem in number theory that predicts a deep connection between the arithmetic of rational points on an elliptic curve and the behavior of its associated L-function at a specific value.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.