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arXiv · 2312.15893

Computations of algebraic modular forms associated with the definite quaternion algebra of discriminant $2$

Hiroyuki Ochiai·Satoshi Wakatsuki·Shun'ichi Yokoyama
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Abstract

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.

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Hiroyuki Ochiai, Satoshi Wakatsuki, Shun'ichi Yokoyama. 2023-12-26. Computations of algebraic modular forms associated with the definite quaternion algebra of discriminant $2$. https://arxiv.org/abs/2312.15893

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