My lab had published a pictorial guide about Jatropha species (not the hybrids) that you may find it useful, before making an attempt to understand the new hybrids:
I am aware of a company at Shenzhen, Southern China having superior Jatropha hybrid lines. I'm not sure, however, whether these high oil yielding lines are for sale.
Likewise, in Singapore, there is a company called Joil, that sells superior Jatropha saplings.
From our lab experiences, N fertilizers have a strong effect on the number of fruits produced per plant (see attached). This will impact the total amount of oil produced per unit area. However, the amount of oil produced per seed is not affected by N nutrition.
To increase oil yield per seed, you need to do more breeding (Chinese company at Shenzhen), or use genetic engineering (JOil).
Dwarf varieties with high water use efficiency are preferred as Jatropha plantations are normally found in marginal areas with poor soils and drier conditions (lower rainfall), in order to avoid direct competition with food production.
Nowdays there is not a real improved variety of Jatropha curcas in the world. Please beware of companies offering super-improved varieties, since most are frauds. In the center of origin of this species (Southern Mexico and Central America) some companies and universities are working hard to study the germplasm and to select and improve genotypes. IAt this time we have some promising lines (most of them toxic), but are still under evaluation.