
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 $$E: \frac {x^{2}}{a^{2}}+y^{2}=1(a>1)$$, the line passing through points A(0, -1) and B(a, 0) has a distance from the origin of $$\frac { \sqrt {3}}{2}$$.  
(Ⅰ) Find the equation of ellipse E;  
(Ⅱ) The line $l$: $y=kx+1$ intersects ellipse E at points C and D. The circle with diameter CD passes through point M(-1, 0). Find the equation of line $l$.

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