Exhibit 31.1



CERTIFICATION



I, Elaina C. Rodgers, certify that:



| | 1. | I have reviewed this annual report on Form 10-K of MV Oil Trust, for which The Bank of New York Mellon Trust Company, N.A. acts
as Trustee;
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| | 2. | Based on my knowledge, this report does not contain any untrue statement of a material fact or omit to state a material fact necessary
to make the statements made, in light of the circumstances under which such statements were made, not misleading with respect to the period
covered by this report;
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| | 3. | Based on my knowledge, the financial statements, and other financial information included in this report, fairly present in all material
respects the financial condition, distributable income and changes in trust corpus of the registrant as of, and for, the periods presented
in this report;
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| | 4. | I am responsible for establishing and maintaining disclosure controls and procedures (as defined in Exchange Act Rules 13a-15(e) and
15d- 15(e)), and internal control over financial reporting (as defined in Exchange Act Rules 13a-15(f) and 15d-15(f)) for the
registrant and I have:
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| | (a) | Designed such disclosure controls and procedures, or caused such disclosure controls and procedures to be designed under my supervision,
to ensure that material information relating to the registrant, including its consolidated subsidiaries, is made known to me by others
within those entities, particularly during the period in which this report is being prepared; and
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| | (b) | Designed such internal control over financial reporting, or caused such internal control over financial reporting to be designed under
my supervision, to provide reasonable assurance regarding the reliability of financial reporting and the preparation of financial statements
for external purposes in accordance with generally accepted accounting principles; and
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| | (c) | Evaluated the effectiveness of the registrant’s disclosure controls and procedures and presented in this report my conclusions
about the effectiveness of the disclosure controls and procedures, as of the end of the period covered by this report based on such evaluation;
and
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| | (d) | Disclosed in this report any change in the registrant’s internal control over financial reporting that occurred during the registrant’s
most recent fiscal quarter (the registrant’s fourth fiscal quarter in the case of an annual report) that has materially affected,
or is reasonably likely to materially affect, the registrant’s internal control over financial reporting; and
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| | 5. | I have disclosed, based on my most recent evaluation of internal control over financial reporting, to the registrant’s auditors:
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| | (a) | All significant deficiencies and material weaknesses in the design or operation of internal control over financial reporting, which
are reasonably likely to adversely affect the registrant’s ability to record, process, summarize and report information; and
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| | (b) | Any fraud, whether or not material, that involves any persons who have a significant role in the registrant’s internal control
over financial reporting.
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In giving the foregoing certifications in paragraphs
4 and 5, I have relied to the extent I consider reasonable on information provided to me by MV Partners, LLC.



Date: March 20, 2024



| | /s/ Elaina C.
    Rodgers                           
| | ----------------------------------------------------
| | Elaina C. Rodgers                                   
| | Vice President                                      
| | The Bank of New York Mellon Trust Company,
    N.A.,
| | Trustee for MV Oil Trust