Short answers, pulled from the story.
There were thirty-five Roman tribes in total. The final two, Quirina and Velina, were admitted in 241 BC, after which no further tribes were created. Legislation required all new citizens from territorial expansion to be registered in existing rural tribes rather than new ones.
The first three Roman tribes, the Ramnes, the Tities, and the Luceres, were created by Romulus, according to Roman tradition. Their establishment is traditionally dated to around 750 BC, following the peace between Rome and the Sabines under Titus Tatius.
The comitia tributa elected lower magistrates, passed legislation, and decided suits brought against those who harmed the plebs. A law of 449 BC made its resolutions binding on all Romans. Because every citizen cast the same vote regardless of wealth, it was the Republic's most democratic institution.
The four urban Roman tribes were the Collina, Esquilina, Palatina, and Suburana, each named for a district of the city. Freedmen were nearly always enrolled in one of these four tribes, limiting their influence in the larger rural majority.
The Roman tribal assembly, the comitia tributa, was stripped of authority progressively from the late Republic onward. Julius Caesar removed its power over war and peace; Augustus eliminated its judicial function; and Tiberius transferred its electoral authority to the senate. By the third century AD, voting had been replaced by acclamation.
The curiae were the thirty wards into which Rome's first three tribes were divided, each led by an official called a curio. One curio was elevated as curio maximus to preside over all thirty; together they formed the comitia curiata, Rome's earliest popular assembly. Only nine of the original curia names survive: Acculeia, Calabra, Faucia, Foriensis, Rapta, Tifata, Titia, Veliensis, and Velitia.