The set of all rational points in an elliptic curve $C$ over $ℚ$ is denoted by $C(ℚ)$ and called the Mordell-Weil group, i.e.,
$C(ℚ)=\{\text{points on } $C$ \text{ with coordinates in } ℚ\}∪\{∞\}$.
1) What is the points $\{∞\}$?
2) If we ignor the torsion part of $C(ℚ)$ then what is the coordinates of $\{∞\}$?