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: Arithmetic of Elliptic Curves | Statement: [Goro Shimura, notableWork, Arithmetic of Elliptic Curves]

Target entity: Arithmetic of Elliptic Curves
Context triple: [Goro Shimura, notableWork, Arithmetic of Elliptic Curves]

• A. Introduction to Elliptic Curves and Modular Forms
  Introduction to Elliptic Curves and Modular Forms is a graduate-level mathematics textbook that develops the theory of elliptic curves and their deep connections to modular forms, number theory, and arithmetic geometry.
• B. Lectures on Elliptic Curves
  Lectures on Elliptic Curves is a classic introductory monograph by J. W. S. Cassels that systematically develops the arithmetic theory of elliptic curves for advanced undergraduates and beginning graduate students in number theory.
• C. A Course in Arithmetic
  A Course in Arithmetic is a classic introductory text in number theory by Jean-Pierre Serre, renowned for its concise and elegant treatment of fundamental arithmetic and algebraic concepts.
• D. Cassels–Fröhlich: Algebraic Number Theory
  Cassels–Fröhlich: Algebraic Number Theory is a classic graduate-level textbook that provides a comprehensive and rigorous introduction to algebraic number theory and its foundational results.
• E. Hasse bound for elliptic curves
  The Hasse bound for elliptic curves is a fundamental result in number theory that gives tight limits on how far the number of points on an elliptic curve over a finite field can deviate from the size of the field plus one.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Arithmetic of Elliptic Curves
Target entity description: "Arithmetic of Elliptic Curves" is a foundational monograph in number theory that systematically develops the theory of elliptic curves and their arithmetic properties.

• A. Introduction to Elliptic Curves and Modular Forms
  Introduction to Elliptic Curves and Modular Forms is a graduate-level mathematics textbook that develops the theory of elliptic curves and their deep connections to modular forms, number theory, and arithmetic geometry.
• B. Lectures on Elliptic Curves
  Lectures on Elliptic Curves is a classic introductory monograph by J. W. S. Cassels that systematically develops the arithmetic theory of elliptic curves for advanced undergraduates and beginning graduate students in number theory.
• C. A Course in Arithmetic
  A Course in Arithmetic is a classic introductory text in number theory by Jean-Pierre Serre, renowned for its concise and elegant treatment of fundamental arithmetic and algebraic concepts.
• D. Cassels–Fröhlich: Algebraic Number Theory
  Cassels–Fröhlich: Algebraic Number Theory is a classic graduate-level textbook that provides a comprehensive and rigorous introduction to algebraic number theory and its foundational results.
• E. Hasse bound for elliptic curves
  The Hasse bound for elliptic curves is a fundamental result in number theory that gives tight limits on how far the number of points on an elliptic curve over a finite field can deviate from the size of the field plus one.
• F. None of above. chosen