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<p>We compute the cuspidal divisor class group of several noncongruence subgroups in Huang and Kim (J Number Theory 281:533–561, 2026). They are all finite. Moreover, we compute the cuspidal divisor class group of congruence/noncongruence subgroups associated to several elliptic curves. Some of them are finite even though they come from noncongruence subgroups.</p>

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Cuspidal divisor class groups of noncongruence subgroups

  • 期刊论文

  • 发表日期：

    2026年2月11日

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  • George Huang,
  • Henry H. Kim

摘要

We compute the cuspidal divisor class group of several noncongruence subgroups in Huang and Kim (J Number Theory 281:533–561, 2026). They are all finite. Moreover, we compute the cuspidal divisor class group of congruence/noncongruence subgroups associated to several elliptic curves. Some of them are finite even though they come from noncongruence subgroups.