Local data of rational elliptic curves with nontrivial torsion

By Mazur's Torsion Theorem, there are fourteen possibilities for the non-trivial torsion subgroup $T$ of a rational elliptic curve. For each $T$, such that $E$ may have additive reduction at prime $p$, we consider parameterized family $E_T$ curves with property they parameterize all $E/\mathbb{Q}$ which contain in their subgroup. Using these families, explicitly classify Kodaira-N\'{e}ron type, conductor exponent, and local Tamagawa number $p$ where has reduction. As consequence, find $2$-torsion or $3$-torsion point global $1$.