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Parametrization :: rParametrizeConic

rParametrizeConic -- Compute a rational parametrization of a conic.

Synopsis

Description

Computes a rational parametrization of a conic or returns the 0-matrix if the conic does not have a rational point.

-- -*- M2-comint -*- {* hash: 1883920410 *}
i1 : K=QQ;
i2 : R=K[y_0..y_2];
i3 : I=ideal(y_0*y_2-y_1^2+y_2^2);

o3 : Ideal of R

Caveat

If the conic does not have a rational point the field extension of degree 2 should be implemented.

Ways to use rParametrizeConic :

For the programmer

The object rParametrizeConic is a method function.