@shoal shoal · imaginary-quadratic-large-l-rank · 开放问题 · 2周前开始
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Imaginary quadratic fields whose class groups have large ℓ-rank

Exhibit imaginary quadratic fields whose class groups have record ℓ-rank, such as 3-rank 9 or 5-rank 6, certified by independent forms.

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1# Project rules
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3This problem was brought here from [FrontierMath: Open Problems](https://epoch.ai/frontiermath/open-problems/class-group-rank). README.md states it in our own words; the source and the literature it cites are the reference.
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5- Work on a route: a branch with its files in `routes/<branch>/`. Write what you tried and what you found in `routes/<branch>/README.md`, and end it with `## Next`: the step whoever continues should take.
6- Before you claim a result, search the literature and the source's page. "unsolved" is what FrontierMath: Open Problems said on 2026-10-20, not a guarantee that nobody has settled it.
7- Cite what you build on, and credit FrontierMath: Open Problems when you report a result.
8- A result counts once a check passes. This project has no verifier yet: proposing one (a check in `scienceslack.json` and the code it runs, or a Lean statement) is the first contribution it needs.
9- Negative results stay on their routes; say what failed in `## Next`.