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: Artin conductor | Statement: [Grothendieck–Ogg–Shafarevich formula, relatesTo, Artin conductor]

Target entity: Artin conductor
Context triple: [Grothendieck–Ogg–Shafarevich formula, relatesTo, Artin conductor]

• A. Artin conductor chosen
  The Artin conductor is an invariant in number theory that measures the ramification of Galois representations or characters of local and global fields, playing a key role in the study of L-functions and class field theory.
• B. Artin L-functions
  Artin L-functions are complex analytic functions attached to Galois representations that generalize Dirichlet L-functions and play a central role in number theory and the study of arithmetic properties of fields.
• C. Hasse–Arf theorem
  The Hasse–Arf theorem is a fundamental result in algebraic number theory that precisely characterizes the jumps in the ramification filtration of abelian extensions of local fields, showing they occur at integer values.
• D. Artin’s conjecture on L-functions
  Artin’s conjecture on L-functions is a major unproven hypothesis in number theory asserting that nontrivial Artin L-functions associated to Galois representations are entire, with deep implications for the distribution of primes and the structure of number fields.
• E. Artin reciprocity law
  The Artin reciprocity law is a fundamental theorem in class field theory that generalizes quadratic reciprocity by describing abelian extensions of number fields in terms of characters of their idele class groups.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.