{"id": "card_instr_elliptic_curves", "kind": "reference", "title": "Elliptic curves", "body": "The Elliptic curves verifier (src/concordance/verifiers/elliptic_curves.py). On the one map it instruments: card_question_bsd. Found from the code's own imports, never invented; the module keeps the logic, this card is a pointer.", "source": {"label": "verifier: elliptic_curves", "url": "", "ref": "src/concordance/verifiers/elliptic_curves.py", "domain": "mathematics", "authority_tier": "engine_derived"}, "shelf": "codex", "box": "instrument", "bands": ["instrument", "verifier", "one map", "elliptic_curves"], "subject": "Elliptic curves", "connections": [{"to_card_id": "card_floor_the_instruments", "relationship": "part_of", "evidence": "a root of the instrument trees (Elliptic curves)"}, {"to_card_id": "card_question_bsd", "relationship": "connects_at", "evidence": "instruments the map: elliptic_curves computes L(E,1), the root number and the analytic rank, and the full BSD formula - the BSD stick's instances are its verdicts, sealed"}], "author": "engine", "created_at": 0.0, "updated_at": 0.0, "visibility": "public", "lifecycle_stage": "public", "volatility": "permanent", "surface": "secular", "generated": false, "call": "codex.instrument", "facets": {"subject": ["elliptic_curves", "one map", "verifier"]}, "presentation": {"glyph": "•", "kind_label": "instrument", "by": "verifier: elliptic_curves", "authority": "engine_derived", "posted": "", "standing": ""}, "neighbors": [{"id": "card_floor_the_instruments", "title": "The instruments — every verifier and validator, and where they join", "relationship": "part of", "why": "a root of the instrument trees (Elliptic curves)", "href": "/card/card_floor_the_instruments", "resolved": true}, {"id": "card_question_bsd", "title": "The Birch and Swinnerton-Dyer conjecture", "relationship": "connects at", "why": "instruments the map: elliptic_curves computes L(E,1), the root number and the analytic rank, and the full BSD formula - the BSD stick's instances are its verdicts, sealed", "href": "/card/card_question_bsd", "resolved": true}], "house": {"door": "FIND", "kind": "card", "trail": "connections", "seal": "/card/card_instr_elliptic_curves", "next_step": {"do": "follow a connection: what this card rests on, and what rests on it", "door": "FIND", "tool": "card_connections", "params": {"id": "card_instr_elliptic_curves"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}