A database of nonhyperelliptic genus 3 curves over Q
Andrew V. Sutherland
TL;DR
This paper presents the creation of a database containing nonhyperelliptic genus 3 curves over the rational numbers with small discriminant, aiding research in algebraic geometry and number theory.
Contribution
It provides the first comprehensive database of such curves, facilitating further computational and theoretical studies.
Findings
Database includes numerous nonhyperelliptic genus 3 curves over Q.
Enables new research directions in algebraic geometry.
Supports computational experiments and conjecture testing.
Abstract
We report on the construction of a database of nonhyperelliptic genus 3 curves over Q of small discriminant.
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