The Lotus 34 is one of the Lotus entries the open record knows by name, and by little else. That is not nothing: a name in the catalogue is where a car's story starts to be recoverable. Its designer of record is Colin Chapman / Len Terry.
The background
The Lotus 34 is an open-wheel race car built by Team Lotus for the 1964 Indianapolis 500. Driven by Jim Clark, who qualified on pole, and Dan Gurney, tyre failure led to Clark retiring and Gurney being withdrawn.
The engineering
it is rated at 425 bhp. Kerb weight is 543 kg. Power-to-weight lands near 783 horsepower per tonne, which is hypercar territory, where the limiting factor is the tyre, not the engine. The wheelbase is 2,438 mm (96 in). These are manufacturer figures carried by Wikipedia and Wikidata, not road-test measurements.
Where it sits
Where it sits in Lotus's history is not in doubt: the Lotus 29 came before it; the Lotus 38 followed it. Its Lotus stablemates include the Lotus 100T and the Lotus 101.