@Anonymous I see that you are visiting as a new member to the Inventor Forum.
Welcome to the Autodesk Community!
The first thing I did was sketch all three views to get the geometry as a reference.

- Created a Plane on the front face at an angle and projected the curve to it (3D Sketch9).
- Then used these sketches to create a front and back Boundary Patch.
- Used Sculpt of these two to make a solid.
- Started a 3D Sketch for the top curve and another for the bottom curve.
- Projected the edges and used Sketch2 for Projected Geometry point of the center of the arc.
- It then did not like the 3D Sketch and broke the links turning them pink. Not sure why.
- Edited the 3D Sketches and deleted all constraints to turn them back to black. Not best practice but this is my initial attempt.
- Lofted Intersection to give the final shape.
You might find a better solution, but this is what I came up with to start. I notice that there are a few dimensions that might need to be modified, specifically d4, d14, d51 in Sketch1, had to fudge them to make the points meet up. See the yellow circle in picture.

I didn't model the rest of the features or the other part but this might point you in the right direction as to how to get started. Hope this helps!
Edit: After reviewing the part, the arcs don't match up with the top view of Sketch3 because I didn't project the 3D Sketch to the surface so the arc isn't right. I would bet @johnsonshiue method is much more accurate and elegant. Trial and error, the life of a designer.
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