WOLFRAM

DEMONSTRATIONS
PROJECT
Real Elliptic Curves
parameters
of
the
plane
z
=
A
x
+
B
A
(
rotation
)
11
B
(
translation
)
12
parameters
of
the
surface
z
=
x
2

a
y
2
+
b
x
y
2
+
c
x
2
y
a

1
b
0
c
0
The intersection of the surface
z
=
x
3

a
y
2
+
b
x
y
2
+
c
x
2
y
with the plane
z
=
A
x
+
B
gives an elliptic curve or its degenerate form. The intersection curve is illustrated in real space.