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: On the Construction of the System of Forms of the Ternary Biquadratic Form | Statement: [Über die Bildung des Formensystems der ternären biquadratischen Form, titleTranslation, On the Construction of the System of Forms of the Ternary Biquadratic Form]

Target entity: On the Construction of the System of Forms of the Ternary Biquadratic Form
Context triple: [Über die Bildung des Formensystems der ternären biquadratischen Form, titleTranslation, On the Construction of the System of Forms of the Ternary Biquadratic Form]

• A. Über die Bildung des Formensystems der ternären biquadratischen Form chosen
  "Über die Bildung des Formensystems der ternären biquadratischen Form" is the 1907 doctoral dissertation of mathematician Emmy Noether, in which she investigates the invariant theory of certain higher-degree algebraic forms.
• B. Fermat's theorem on sums of two squares
  Fermat's theorem on sums of two squares is a result in number theory stating exactly which prime numbers (and, more generally, which integers) can be expressed as the sum of two perfect squares.
• C. Conway’s topograph
  Conway’s topograph is a geometric visualization tool introduced by mathematician John H. Conway to study binary quadratic forms and their arithmetic properties using a planar graph of curves and regions.
• D. Fermat polygonal number theorem
  The Fermat polygonal number theorem is a result in number theory stating that every positive integer can be expressed as a sum of a fixed number of polygonal numbers of a given order.
• E. Gauss’s lemma in number theory
  Gauss’s lemma in number theory is a result that relates the Legendre symbol to the number of sign changes in a certain sequence of multiples, providing a practical criterion for determining quadratic residues modulo an odd prime.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.