Computations of algebraic modular forms associated with the definite quaternion algebra of discriminant $2$
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909215062228992 |
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| author | Ochiai, Hiroyuki Wakatsuki, Satoshi Yokoyama, Shun'ichi |
| author_facet | Ochiai, Hiroyuki Wakatsuki, Satoshi Yokoyama, Shun'ichi |
| contents | In this paper, we present an algorithm to compute a basis of the space of algebraic modular forms on the maximal order of the definite quaternion algebra of discriminant $2$, and provide a database of such bases. One of our motivations is to study congruence relations of algebraic modular forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_15893 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Computations of algebraic modular forms associated with the definite quaternion algebra of discriminant $2$ Ochiai, Hiroyuki Wakatsuki, Satoshi Yokoyama, Shun'ichi Number Theory In this paper, we present an algorithm to compute a basis of the space of algebraic modular forms on the maximal order of the definite quaternion algebra of discriminant $2$, and provide a database of such bases. One of our motivations is to study congruence relations of algebraic modular forms. |
| title | Computations of algebraic modular forms associated with the definite quaternion algebra of discriminant $2$ |
| topic | Number Theory |
| url | https://arxiv.org/abs/2312.15893 |