  Bring's curve, the unique Riemann surface of genus-4 with automorphism group
$S_5$, has many exceptional properties. We review, give new proofs of, and
extend a number of these including giving the complete realisation of the
automorphism group for a plane curve model, identifying a new elliptic quotient
of the curve and the modular curve $X_0(50)$, providing a complete description
of the orbit decomposition of the theta characteristics, and identifying the
unique invariant characteristic with the divisor of the Sz\"ego kernel. In
achieving this we have used modern computational tools in Sagemath, Macaulay2,
and Maple, for which notebooks demonstrating calculations are provided.
