Fair Value of Lumens - Summary of Changes in Quantity of XLM and the Respective Fair Value (Details) $ in Thousands	3 Months Ended		9 Months Ended		12 Months Ended
	Jun. 30, 2022 USD ($) Lumens	Jun. 30, 2021 USD ($)	Jun. 30, 2022 USD ($) Lumens	Jun. 30, 2021 USD ($) Lumens	Sep. 30, 2021 USD ($) Lumens
Fair Value Disclosures [Abstract]
Investment Owned, Balance | Number | Lumens			76,848,154.9650449	15,775,928.2261500	15,775,928.2261500
XLM contributed | Lumens			0		62,429,377.3665027
XLM distributed for Sponsor's Fee, related party | Lumens			(1,423,652.3265098)		(1,357,150.6276078)
Net change in unrealized appreciation on investment in XLM | Lumens			0		0
Net realized gain on investment in XLM | Lumens			0		0
Investment Owned, Balance | Number | Lumens	75,424,502.6385351		75,424,502.6385351		76,848,154.9650449
Investment Owned, at Fair Value | $			$ 21,342	$ 1,152	$ 1,152
XLM contributed | $			0		18,351
XLM distributed for Sponsor's Fee, related party | $			(334)		(481)
Net change in unrealized depreciation on investment in XLM | $	$ (9,514)	$ (7,933)	(12,819)	2,430	2,148
Net realized loss on investment in XLM | $	(46)	$ 90	(26)	$ 148	172
Investment Owned, at Fair Value | $	$ 8,163		$ 8,163		$ 21,342