# Order of Elliptic Curve over Finite Field contradicts Lagrange? [closed]

Please see the attached image for a question on why the order of an elliptic curve does not consider the point at infinity in order to avoid contradicting Lagrange's Theorem.

Elliptic Curve over Finite Field specific Example

Matlab Plotting of the Elliptic Curve

3. This is not an elliptic curve: it is $y^2=(x+4)^2(x+3)$, a rational curve with a node.
• @CallumN: The field is $\mathbb{F}_{11}$ here, so the discriminant is zero. Jun 25, 2017 at 9:41