Your best bet is to just go to a store that sells patterns and look through them - or look online.
You can also always modify a pattern if you need to.
It could be referred to as a "basque bodice" (or, in less specific terms, "boned bodice", "fitted bodice" or things like that) but I don't think that's going to actually help you (since they don't have to be pointy at the bottom to qualify - that's a mutable design element). I would just look at patterns and pick out something similar - which you should have no trouble finding.
And, no, it's not dramatically different.
Disclaimer : This post written by a Grumpy Old Man
Actually in the pipes:
- Remaking Ser Loras doublet.
- Luke Skywalker, A New Hope
- Wind Waker starter costume in swim material
Eventually: Paul from Dune, Faramir, Harry Sullivan