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v3.25.4

Service Providers and Related Party Agreements - Additional Information) (Details) | 18 Months Ended
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Dec. 31, 2025
Related Party Transactions [Abstract] |
Sponsor fee per annum on daily net assets | 0.25%
Limited liability company formation state | Delaware
Limited liability company formation date | Feb. 07, 2003

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- Definition Management fee per annum of daily net assets. + References No definition available. + Details
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Namespace Prefix: | qeth_
Data Type: | dtr-types:percentItemType
Balance Type: | na
Period Type: | duration

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- Definition Date the limited liability company (LLC) or limited partnership (LP) was formed, in YYYY-MM-DD format. + References No definition available. + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:dateItemType
Balance Type: | na
Period Type: | duration

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- Definition State in which the limited liability company or limited partnership was organized. + References No definition available. + Details
Name: | us-gaap_LimitedLiabilityCompanyOrLimitedPartnershipBusinessFormationState
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- References No definition available. + Details
Name: | us-gaap_RelatedPartyTransactionsAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration