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: Hecke operator T_n | Statement: [Hecke operators, include, Hecke operator T_n]

Target entity: Hecke operator T_n
Context triple: [Hecke operators, include, Hecke operator T_n]

• A. Hecke operators chosen
  Hecke operators are algebraic operators acting on modular forms that play a central role in number theory, particularly in understanding congruences, L-functions, and the arithmetic of modular forms.
• B. Ramanujan tau function
  The Ramanujan tau function is a multiplicative arithmetic function arising from the Fourier coefficients of a modular discriminant form, central to the study of modular forms and number theory.
• C. Hecke eigenforms
  Hecke eigenforms are special modular forms that are simultaneous eigenfunctions of all Hecke operators, playing a central role in modern number theory and the theory of automorphic forms.
• 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. Hecke characters
  Hecke characters are generalized algebraic number field characters (or Grössencharaktere) that play a central role in class field theory and the study of L-functions.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.