Abstract
In this paper, we will deal with a very practical problem. The problem is that of finding the lowest level of a given modular form which is known to have some level. For forms on principal (homogeneous) congruence subgroups, the answer is the greatest common divisor of the widths at all cusps [6, p. 82]. This is often not an easy calculation to make unless the transformation formulas are already known. However, frequently another congruence group appears: namely the Γ0 type group. Here, the calculation of finding the minimal level turns out to be much easier and involves just the inversion formula. Since it is often the case that if one non-trivial transformation is known for the form in question, it is the inversion formula, this will be very convenient. This is the subject of Theorem 1.
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