# Rigid realizations of modular forms in Calabi--Yau threefolds

## TL;DR

This paper constructs specific rigid Calabi--Yau threefolds that realize new weight 4 cusp forms, advancing the understanding of the connection between Calabi--Yau geometry and modular forms.

## Contribution

It provides explicit examples of modular rigid Calabi--Yau threefolds that realize previously unassociated weight 4 cusp forms.

## Key findings

- Construction of modular rigid Calabi--Yau threefolds
- Realization of new weight 4 cusp forms
- Enhanced link between geometry and modular forms

## Abstract

We construct examples of modular rigid Calabi--Yau threefolds, which give a realization of some new weight 4 cusp forms.