{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/computing-points-on-bielliptic-modular-curves","title":"Computing points on bielliptic modular curves over fixed quadratic fields","arxiv_id":"2301.06440","date":"2023-01-16","proceeding":null,"authors":["Philippe Michaud-Jacobs"],"abstract":"We present a Mordell-Weil sieve that can be used to compute points on certain bielliptic modular curves $X_0(N)$ over fixed quadratic fields. We study $X_0(N)(\\mathbb{Q}(\\sqrt{d}))$ for $N \\in \\{ 53,61,65,79,83,89,101,131 \\}$ and $\\lvert d \\rvert < 100$.","url_abs":"https://arxiv.org/abs/2301.06440v1","url_pdf":"https://arxiv.org/pdf/2301.06440v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"computing-points-on-bielliptic-modular-curves","repo_url":"https://github.com/michaud-jacobs/bielliptic","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}