I can create a curly brace around a set of equations (aligned at two positions!) using aligned:
\begin{equation}
\left\{
\begin{aligned}[2]
&\rho &&= \frac{\e^{- \lambda_2 \H/k}}{\e^{1 + \lambda_1/k}}
\\
&\Tr{\rho} &&= 1
\\
&\Tr{\rho \H} &&= \braket{E}
\end{aligned}
\right.
\end{equation}
Or, I can create a set of equations where every line has a number, but no curly brace, using alignat:
\begin{alignat}{2}
&\rho &&= \frac{\e^{- \lambda_2 \H/k}}{\e^{1 + \lambda_1/k}}
\\
&\Tr{\rho} &&= 1
\\
&\Tr{\rho \H} &&= \braket{E}
\end{alignat}
How can I create a set of equations (still aligned at two positions) that all have numbers (like in the second example), and they also have a curly brace (like in the first example)??



