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: Mordell–Weil group | Statement: [Birch and Swinnerton-Dyer Conjecture, relatesConcept, Mordell–Weil group]

Target entity: Mordell–Weil group
Context triple: [Birch and Swinnerton-Dyer Conjecture, relatesConcept, Mordell–Weil group]

• A. Mordell–Weil theorem chosen
  The Mordell–Weil theorem is a fundamental result in number theory stating that the group of rational points on an abelian variety (in particular, an elliptic curve) over a number field is finitely generated.
• B. Mordell curve
  A Mordell curve is an elliptic curve of the form \(y^2 = x^3 + k\) over a field, central to number theory and Diophantine geometry.
• C. Weil group
  The Weil group is an extension of the absolute Galois group introduced by André Weil to refine class field theory and play a central role in the formulation of the local and global Langlands correspondences.
• D. Faltings' theorem
  Faltings' theorem is a landmark result in arithmetic geometry that proves every algebraic curve of genus greater than one over a number field has only finitely many rational points.
• E. Adeles and Algebraic Groups
  "Adeles and Algebraic Groups" is a foundational mathematical work by André Weil that develops the theory of adeles and its deep connections with algebraic groups and number theory.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.