Projective plane conics over prime finite fields

AUTHORS:

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

Bases: sage.schemes.plane_conics.con_finite_field.ProjectiveConic_finite_field, sage.schemes.plane_curves.projective_curve.ProjectiveCurve_prime_finite_field

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

EXAMPLES:

sage: P.<X, Y, Z> = FiniteField(5)[]
sage: Conic(X^2 + Y^2 - 2*Z^2)
Projective Conic Curve over Finite Field of size 5 defined by X^2 + Y^2 - 2*Z^2

TESTS:

sage: Conic([FiniteField(7)(1), 1, -1])._test_pickling()

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