Fair Value of XLM - Summary of Changes in Quantity of XLM and the Respective Fair Value (Details) $ in Thousands	3 Months Ended		12 Months Ended
	Dec. 31, 2022 USD ($) Lumens	Dec. 31, 2021 USD ($) Lumens	Sep. 30, 2022 USD ($) Lumens
Fair Value Disclosures [Abstract]
Investment Owned, Balance | Number | Lumens	74,950,703.0854167	76,848,154.9650449	76,848,154.9650449
XLM contributed | Lumens	0		0
XLM distributed for Sponsor's Fee, related party | Lumens	(470,823.2521981)		(1,897,451.8796282)
Net change in unrealized depreciation on investment in XLM | Lumens	0		0
Net realized loss on investment in XLM | Lumens	0		0
Investment Owned, Balance | Number | Lumens	74,479,879.8332186		74,950,703.0854167
Investment Owned, at Fair Value | $	$ 8,653	$ 21,342	$ 21,342
XLM contributed | $	0		0
XLM distributed for Sponsor's Fee, related party | $	(46)		(387)
Net change in unrealized depreciation on investment in XLM | $	(3,223)	(1,383)	(12,209)
Net realized loss on investment in XLM | $	(73)	$ 38	(93)
Investment Owned, at Fair Value | $	$ 5,311		$ 8,653