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A level of a modular form $f$ is a positive integer $N$ such that $f$ is a modular form on a subgroup $\Gamma$ of $\operatorname{SL}_2(\mathbb{Z})$ that contains the principal congruence subgroup $\Gamma(N)$.

The least such integer $N$ is sometimes referred to as “the level” of $f$.

Knowl status:
  • Review status: reviewed
  • Last edited by David Farmer on 2019-04-09 22:49:53
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