East Ridge Route. 

Here are some notes on the pitches we did. This information may not be entirely accurate since I did this route a couple months ago.

We started the route beneath a small roof.

P1: Step over the roof and onto a slab. Climb left to a crack in left facing corner. Climb up the corner a bit until the crack becomes too thin and difficult to climb. Traverse left and do an exposed step across (5.7) into a corner / chimney. Climb up the chimney to excellent face climbing on big jugs at the top of the chimney. Belay on a huge ledge.

P2: Climb up the easy broken slab to a ginormous slanting ledge. This is an easy pitch.

P3: Climb up the steep slanting crack near the left edge of the wall (5.7) to gain the slabby arete. See mountainproject.com/v/california/tahoe_vicinity/eagle_creek_>>> Stay on the arete for maximum exposure and eventually move left on to a pillar. Belay on the exposed pillar.

P4: Gain the ridge by traversing across a slabby face and downclimbing a bit. See mountainproject.com/v/california/tahoe_vicinity/eagle_creek_>>> Once on the ridge, the terrain is 3rd and flat walking. Eventually, you can do a tunnel through if you want and belay on the other side.

P5: Unrope and walk along the ridge. Stay on the right (East Facing) side of the ridge. Eventually, you'll come to a 30 foot wall blocking your progress. This makes up the last and sixth pitch.

P6: Climb the steep 30 foot wall. Feeling daring? Climb as close as you can to the edge. See mountainproject.com/v/california/tahoe_vicinity/eagle_creek_>>> The rock is crap so be careful. This is a scary but short pitch. 5.7

Descent: Walk a few hundred more feet along the ridge. Go down the slabs on the left (West Facing). Easy downclimbing. Keep your climbing shoes on.

Great climb, with lots of options. You can choose your own adventure and make it as difficult or easy as you'd like.
You can also stop after 3 pitches at the top of what I'd call the "East Summit". The climbing after this is un-memorable, requiring a long ridge traverse and a short pitch of 5.7 on poor quality rock that adds length and complexity to a descent.

(Warning, beta alert)
Had to kind of look around for a good place to start, this required walking around the right end and looking for some cracks to start up on. The start isn't particularly obvious.

P1. Also started under a small roof very near the actual end of the buttress proper. There was a big, slab up and to the left of our start. Connected 3 short, discontinuous crack systems, mostly 5.7ish. This brings you to a big ledge with an obvious hand crack that goes straight up. Take this, at the top is a huge ledge with a right slanting crack. Belay here. ~100'

P2. Climb steep right slanting crack to top, then you'll see an excellent looking off fingers crack to your right when you top out. Climb this to it's end, then traverse left (5.8) into another, wider, easier crack. (You could also take the easier looking, wider crack to the left of the off-fingers crack to avoid the 5.8 part). This leads to an easy, right-arching crack and after that, easy 5th/4th class until you run out of rope or find a nice spot to belay. Long pitch.

P3. ~90' (or 130') of easy 5th/4th to the base of a large block. This block represents the "East summit". You can belay here or continue up. The block is maybe 35' tall, has many options, the easiest looking one towards the center was 5.7.