Can anyone identify this inductor?

It is a transformer! Interesting!

So what is the brand and model of the speaker?

Can you post a picture of the crossover?

Amphion. But there are no photos online, probably because the crossovers are tucked way inside and strongly glued in. When I asked them about it, they declined to answer.😏

Well I looked closer and its not that exact Lundhal. Its slightly larger and only has 30 windings, which seems much fewer than all their others. I can’t identify the core material - that one I mentioned for tube mics says 10x the THD than normal Mu Metal, so I can’t see why they would use that one. But the construction otherwise looks similar, with the putty. So it seems its a custom transformer for them. Unshielded no less. I don't know enough about transformers to know if there are other brands which look identical to this.

Anyone have thoughts on using transformers in crossovers?

I've got the parts but they were slow to arrive and now I'm in the vacation season so I haven't done the work yet.   I'm chaning all the inductors in my crossovers to wax/foil inductors. Some existing are iron core, some are not.   Replacements are Much larger.  the heaviest ones weight just over 5 lbs.  

Upgrading your inductors (and caps and resistors) is a fairly expensive but quite useful upgrade to most speakers under $50k.  And a good upgrade for many more expensive speakers as well.

Measure the inductance and order 2 upgraded replacements (one for each speaker).  While at it, upgrade other components on the crossover.  

Jerry

If it only has 30 turns winding and two leads, It could be an C core inductor for woofer low pass filter, because of its extremely low resistance!