A database of paramodular forms from quinary orthogonal modular forms

TL;DR

This paper introduces a method to compute tables of paramodular forms of degree two by leveraging a correspondence with orthogonal modular forms on quinary lattices, advancing computational techniques in modular form theory.

Contribution

It presents a novel computational approach linking paramodular forms to orthogonal modular forms on quinary lattices, enabling explicit calculations.

Findings

Computed new tables of paramodular forms of degree two.

Established a correspondence between paramodular and orthogonal modular forms.

Enhanced computational methods for modular form classification.

Abstract

We compute tables of paramodular forms of degree two and cohomological weight via a correspondence with orthogonal modular forms on quinary lattices.