# Rigorous computation of the endomorphism ring of a Jacobian

## TL;DR

This paper presents enhanced algorithms for accurately computing the endomorphism ring of Jacobians of curves over number fields, improving the reliability and efficiency of such computations.

## Contribution

It introduces several algorithmic improvements for the rigorous determination of Jacobian endomorphism rings over number fields.

## Key findings

- Enhanced algorithms for endomorphism ring computation
- Improved accuracy and efficiency in calculations
- Applicability to Jacobians over number fields

## Abstract

We describe several improvements to algorithms for the rigorous computation of the endomorphism ring of the Jacobian of a curve defined over a number field.