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: abc conjecture | Statement: [Beal conjecture, relatedTo, abc conjecture]

Target entity: abc conjecture
Context triple: [Beal conjecture, relatedTo, abc conjecture]

• A. abc conjecture chosen
  The abc conjecture is a deep and influential unsolved problem in number theory that predicts a surprising relationship between the prime factors of three integers a, b, and c satisfying a + b = c, with far-reaching consequences for many Diophantine equations.
• B. Beal conjecture
  The Beal conjecture is an unsolved problem in number theory proposing that if A^x + B^y = C^z with A, B, C, x, y, z positive integers and exponents greater than 2, then A, B, and C must share a common prime factor.
• C. Bunyakovsky conjecture
  The Bunyakovsky conjecture is an unproven statement in number theory asserting that certain irreducible integer polynomials with positive leading coefficient take on infinitely many prime values.
• 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. 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.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.