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: Lang conjectures | Statement: [Diophantine geometry, relatedTo, Lang conjectures]

Target entity: Lang conjectures
Context triple: [Diophantine geometry, relatedTo, Lang conjectures]

• A. abc conjecture
  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. Bombieri–Lang conjecture chosen
  The Bombieri–Lang conjecture is a major unsolved conjecture in number theory and arithmetic geometry predicting that varieties of general type over number fields have only finitely many rational points.
• C. 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.
• D. Bateman–Horn conjecture
  The Bateman–Horn conjecture is a far-reaching unproven statement in number theory that predicts how often sets of polynomial expressions simultaneously take prime values, generalizing several earlier conjectures about the distribution of prime numbers.
• E. 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.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.