Projective plane conics over a number field.

AUTHORS:

  • Marco Streng (2010-07-20)
class sage.schemes.plane_conics.con_number_field.ProjectiveConic_number_field(A, f)

Bases: sage.schemes.plane_conics.con_field.ProjectiveConic_field

Create a projective plane conic curve over a number field. See Conic for full documentation.

EXAMPLES:

sage: K.<a> = NumberField(x^3 - 2, 'a')
sage: P.<X, Y, Z> = K[]
sage: Conic(X^2 + Y^2 - a*Z^2)
Projective Conic Curve over Number Field in a with defining polynomial x^3 - 2 defined by X^2 + Y^2 + (-a)*Z^2

TESTS:

sage: K.<a> = NumberField(x^3 - 3, 'a')
sage: Conic([a, 1, -1])._test_pickling()

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