A database of genus-2 curves over the rational numbers

Q1 Mathematics

Lms Journal of Computation and Mathematics Pub Date : 2016-02-11 DOI:10.1112/S146115701600019X

A. Booker, J. Sijsling, Andrew V. Sutherland, J. Voight, D. Yasaki

引用次数: 54

Abstract

We describe the construction of a database of genus-

$2$

curves of small discriminant that includes geometric and arithmetic invariants of each curve, its Jacobian, and the associated

$L$

-function. This data has been incorporated into the

$L$

-Functions and Modular Forms Database (LMFDB).

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有理数上的二类曲线数据库

我们描述了一个包含每条曲线的几何和算术不变量、雅可比矩阵和相关的L函数的小判别式的格- 2曲线数据库的构造。这些数据已被纳入$L$-函数和模块化表单数据库(LMFDB)。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Lms Journal of Computation and Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： LMS Journal of Computation and Mathematics has ceased publication. Its final volume is Volume 20 (2017). LMS Journal of Computation and Mathematics is an electronic-only resource that comprises papers on the computational aspects of mathematics, mathematical aspects of computation, and papers in mathematics which benefit from having been published electronically. The journal is refereed to the same high standard as the established LMS journals, and carries a commitment from the LMS to keep it archived into the indefinite future. Access is free until further notice.