Brake hose part # for Ultegra Hydraulic?

[PoppaWheelie]

Anyone know what the correct hose is for Ultegra road hydro disc brakes? Seems like it should be an easy Google...but I can't seem to find the answer. Three calls to LBS's have come up empty too. Not sure why this is a State secret...any help is appreciated, thx!

[PoppaWheelie]

I should note...the dealer manual calls out the correct olive and termination pin, but not the hose itself...

[adhumston]

Shimano BH59 if I recall correctly

[zank]

SM-BH59-SB if you have the first R785 caliper with the banjo bolt. SM-BH55-JK-SS if you have the more recent RS785 caliper with straight hose entry.

[PoppaWheelie]

Thx!!!