Beta Phase:
Square45 is currently in beta testing. Expect some features or content to be incomplete or missing.
45
English
Français
العربية
Deutsch
🏠
/
Mathematics
/
Arithmetic Geometry
/
Elliptic Curves (Definition)
Elliptic Curves (Definition)
Smooth, projective, algebraic curves of genus one, on which there is a specified point
O
O
O
.
📜
The statement of the theorem
Defined by a Weierstrass equation
y
2
=
x
3
+
a
x
+
b
y^2 = x^3 + ax + b
y
2
=
x
3
+
a
x
+
b
with
4
a
3
+
27
b
2
≠
0
4a^3 + 27b^2 \neq 0
4
a
3
+
27
b
2
=
0
.