SD14: Visualisation 1
system:sage

{{{id=0|
# node
R.<x, y> = QQ[]
f = y^2 -x*(x-1)^2
node = Curve(f)
node.plot()
///
}}}

{{{id=2|
# A_10-singularity
f = y^11 - x^2
a10_sing = Curve(f)
a10_sing.plot((x, -1, 1), (y, -1, 1))
///
}}}

{{{id=17|
# 5-nodal plane curve of degree 11
f = 32*x^2 - 2097152*y^11 + 1441792*y^9 - 360448*y^7 + 39424*y^5 - 1760*y^3 + 22*y - 1
five_nodal = Curve(f)
five_nodal.plot((x, -1, 1), (y, -1, 1), plot_points=400)
///
}}}

{{{id=19|
# elliptic curve, projective equation
E = EllipticCurve('101a')
C = Curve(E)
C.plot(patch=0)
///
}}}

{{{id=16|

///
}}}