Algebraic Curve/Examples/Elliptic Curve

Example of Algebraic Curve

The elliptic curve is an example of an algebraic curve.

By definition of the standard form of the elliptic curve, an elliptic curve can be expressed by an equation in the form:

$y^3 = x^3 + a x + b$

for some $a, b \in \R$.

Sources

• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): algebraic curve