
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
Given the ellipse $C$: $\frac {x^{2}}{a^{2}}+ \frac {y^{2}}{b^{2}}=1$ with $a > b > 0$, and its eccentricity is $\frac {\sqrt {3}}{2}$. Point $M(2,1)$ lies on the ellipse $C$.
$(1)$ Find the equation of the ellipse $C$.
$(2)$ A line $l$ is parallel to $OM$ and intersects the ellipse $C$ at two distinct points $A$ and $B$. If $\angle AOB$ is an obtuse angle, determine the range of values for the y-intercept $m$ of the line $l$.

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