Number of dimensions of the underlying data, by definition 1.
Examples
>>> s = pd.Series(['Ant', 'Bear', 'Cow'])
>>> s
0 Ant
1 Bear
2 Cow
dtype: object
>>> s.ndim
1
For Index:
>>> idx = pd.Index([1, 2, 3])
>>> idx
Index([1, 2, 3], dtype='int64')
>>> idx.ndim
1
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https://pandas.pydata.org/pandas-docs/version/2.3.0/reference/api/pandas.Series.ndim.html