
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In the Cartesian coordinate system $xOy$, it is known that the ellipse $C_{1}$: $\dfrac {x^{2}}{a^{2}}+ \dfrac {y^{2}}{b^{2}}=1(a > b > 0)$ has an eccentricity $e= \dfrac { \sqrt {3}}{2}$, and the length of the minor axis of the ellipse $C_{1}$ is $2$.
$(1)$ Find the equation of the ellipse $C_{1}$;
$(2)$ Let $A(0, \dfrac {1}{16})$, and $N$ be a moving point on the parabola $C_{2}$: $y=x^{2}$. The tangent line to the parabola $C_{2}$ at point $N$ intersects the ellipse $C_{1}$ at points $B$ and $C$. Find the maximum value of the area of $\triangle ABC$.

Present the answer in LaTex format: \boxed{Your answer}
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