English

The index of $\mathbb{T}^{\text{an}}$ in $\mathbb{T}$

Number Theory 2021-03-02 v1

Abstract

For a prime level NN, we compute the index of the anemic Hecke algebra of weight 2 level Γ0(N)\Gamma_0(N) forms inside the full Hecke algebra. We prove that the index is fully described by the presence of weight 1 Katz forms of the same level.

Keywords

Cite

@article{arxiv.2103.00649,
  title  = {The index of $\mathbb{T}^{\text{an}}$ in $\mathbb{T}$},
  author = {Noah Taylor},
  journal= {arXiv preprint arXiv:2103.00649},
  year   = {2021}
}

Comments

13 pages, no figures