Elliptic Curve/Examples/Arbitrary Example 1

Example of Elliptic Curve

The equation:

$y^2 = x^3 + 17$

describes an elliptic curve.

This has the rational lattice points $\tuple {-2, 3}$, $\tuple {2, 5}$, $\tuple {\dfrac 1 4, \dfrac {33} 8}$, $\tuple {-1, 4}$ and many more.

Sources

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