def Jacobian(C):
if not is_HyperellipticCurve(C):
raise TypeError, "Argument C (= %s) must be a hyperelliptic curve."
if C.genus() == 2:
return jacobian_g2.HyperellipticJacobian_g2(C)
else:
return jacobian_generic.HyperellipticJacobian_generic(C)
def jacobian(self):
"""
Return the Jacobian of the hyperelliptic curve.
EXAMPLES::
sage: R.<x> = QQ[]
sage: f = x^5 - x^4 + 3
sage: HyperellipticCurve(f).jacobian()
Jacobian of Hyperelliptic Curve over Rational Field defined by y^2 = x^5 - x^4 + 3
"""
return jacobian_g2.HyperellipticJacobian_g2(self)
def jacobian(self):
return jacobian_g2.HyperellipticJacobian_g2(self)