Family: mordell — Mordell equation - #29
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One family: **Mordell equation** (`mordell`) — P1, algorithmic. - Standard form: `y^2 = x^3 + k` - Parent: `elliptic-weierstrass` - Examples: `y^2 = x^3 - 2` Contents: the registry entry, its `docs/FAMILIES.md` section, its rows in the classification corpus, its solver and solver-layer tests. References cited (the claim each one supports): - `GebelPethoZimmer1998` — the method, with tables for |k| <= 10^4 - `BennettGhadermarzi2015` — complete tables for |k| <= 10^7 Independent of every other family PR: it needs only the registry backbone it is based on. Part of the series that splits #1 into reviewable pieces: 1. `01-bibliography` — packaging, docs, annotated bibliography 2. `02-parsing` — equation strings to a term model 3. `03-registry` — the YAML family registry (3 seed families) 4. `04-matchers` — shape recognizers 5. `05-classify` — the classification pipeline 6. `06-solvers` — solver framework, two seed solvers, and the CLI 7. `07..09-backbone` — the 23 parent families of the DAG, by depth 8. one PR per remaining family (38 of them, mutually independent) 9. `99-polish` — restore the full doctests and tighten the invariants
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One family: Mordell equation (
mordell) — P1, algorithmic.y^2 = x^3 + kelliptic-weierstrassy^2 = x^3 - 2Contents: the registry entry, its
docs/FAMILIES.mdsection, its rows in the classification corpus, its solver and solver-layer tests.References cited (the claim each one supports):
GebelPethoZimmer1998— the method, with tables for |k| <= 10^4BennettGhadermarzi2015— complete tables for |k| <= 10^7Independent of every other family PR: it needs only the registry backbone it is based on.
Part of the series that splits #1 into reviewable pieces:
01-bibliography— packaging, docs, annotated bibliography02-parsing— equation strings to a term model03-registry— the YAML family registry (3 seed families)04-matchers— shape recognizers05-classify— the classification pipeline06-solvers— solver framework, two seed solvers, and the CLI07..09-backbone— the 23 parent families of the DAG, by depth99-polish— restore the full doctests and tighten the invariants