Upgrade eclib to version 20241112

[JohnCremona]

Fixed #38960

📝 Checklist

• The title is concise and informative.
• [x ] The description explains in detail what this PR is about.
• [ x] I have linked a relevant issue or discussion.
• I have created tests covering the changes.
• I have updated the documentation and checked the documentation preview.

⌛ Dependencies

[JohnCremona]

Anyone looking at this ticket now would assume that there is something wrong with it as several automatic checks have failed. But none of the failures have (as far as I can see) anything to do with the new eclib. I myself am not going to take any further action on this unless someone tells me that I am wrong about this.

[antonio-rojas]

This requires patching sagelib due to API changes. See https://gitlab.archlinux.org/archlinux/packaging/packages/sagemath/-/blob/main/eclib-20241112.patch?ref_type=heads

[JohnCremona]

This requires patching sagelib due to API changes. See https://gitlab.archlinux.org/archlinux/packaging/packages/sagemath/-/blob/main/eclib-20241112.patch?ref_type=heads

Thanks. I will make the changes you suggest in the link and update the PR.

[github-actions]

Documentation preview for this PR (built with commit 6967897; changes) is ready! 🎉
This preview will update shortly after each push to this PR.

[JohnCremona]

The forced push was just after rebasing on current develop.

[JohnCremona]

As usual I have no idea what is making any of the failures, this time I am more confident that it is nothing to do with this PR but whi knows? I hope someone does.