Elliptic Curves: Diophantine Analysis

Target entity: Elliptic Curves: Diophantine Analysis
Context triple: [Serge Lang, notableWork, Elliptic Curves: Diophantine Analysis]

• A. Arithmetic of Elliptic Curves
  "Arithmetic of Elliptic Curves" is a foundational monograph in number theory that systematically develops the theory of elliptic curves and their arithmetic properties.
• B. 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.
• C. 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.
• D. 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.
• E. modularity theorem for elliptic curves over Q
  The modularity theorem for elliptic curves over Q is a landmark result in number theory stating that every elliptic curve defined over the rational numbers corresponds to a modular form, a fact central to the proof of Fermat’s Last Theorem.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Elliptic Curves: Diophantine Analysis
Target entity description: "Elliptic Curves: Diophantine Analysis" is a graduate-level mathematics book by Serge Lang that develops the theory of elliptic curves with a focus on their applications to Diophantine equations and number theory.

• A. Arithmetic of Elliptic Curves
  "Arithmetic of Elliptic Curves" is a foundational monograph in number theory that systematically develops the theory of elliptic curves and their arithmetic properties.
• B. 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.
• C. 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.
• D. 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.
• E. modularity theorem for elliptic curves over Q
  The modularity theorem for elliptic curves over Q is a landmark result in number theory stating that every elliptic curve defined over the rational numbers corresponds to a modular form, a fact central to the proof of Fermat’s Last Theorem.
• F. None of above. chosen