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: Shimura correspondence | Statement: [Hecke operators, appearIn, Shimura correspondence]

Target entity: Shimura correspondence
Context triple: [Hecke operators, appearIn, Shimura correspondence]

• A. Shimura correspondence chosen
  The Shimura correspondence is a fundamental result in number theory that establishes a deep link between modular forms of half-integral weight and modular forms of integral weight, with important applications to L-functions and arithmetic geometry.
• B. Eichler–Shimura theory
  Eichler–Shimura theory is a foundational framework in number theory and arithmetic geometry that connects modular forms with the cohomology of modular curves and the theory of elliptic curves.
• C. Shimura reciprocity law
  The Shimura reciprocity law is a fundamental result in number theory that generalizes classical reciprocity laws by describing how values of modular functions at complex multiplication (CM) points transform under the action of Galois groups.
• D. Shimura lift
  The Shimura lift is a fundamental construction in number theory that associates modular forms of half-integral weight to modular forms of integral weight, playing a key role in the theory of automorphic forms and L-functions.
• E. Shimura varieties
  Shimura varieties are higher-dimensional algebraic varieties that generalize modular curves and play a central role in the Langlands program by connecting number theory, automorphic forms, and arithmetic geometry.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.