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: modularity conjecture | Statement: [Taniyama–Shimura–Weil conjecture, alsoKnownAs, modularity conjecture]

Target entity: modularity conjecture
Context triple: [Taniyama–Shimura–Weil conjecture, alsoKnownAs, modularity conjecture]

• A. modularity conjecture chosen
  The modularity conjecture is a central statement in number theory asserting that every elliptic curve over the rational numbers corresponds to a modular form, a result whose proof underpins the modern proof of Fermat’s Last Theorem.
• B. reciprocity conjecture
  The reciprocity conjecture is a far-reaching set of ideas in number theory and representation theory that generalizes classical reciprocity laws by relating Galois groups to automorphic forms within the Langlands program.
• C. Ramanujan–Petersson conjecture
  The Ramanujan–Petersson conjecture is a fundamental statement in number theory and the theory of modular forms that predicts strong bounds on the Fourier coefficients of modular cusp forms, with deep connections to automorphic forms and the Langlands program.
• D. Monstrous Moonshine conjecture
  The Monstrous Moonshine conjecture is a famous result in mathematics that reveals a deep and unexpected connection between the Monster finite simple group and modular functions in number theory.
• 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.