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Elliptic-curve BSD evidence ledger

Family 002: The full BSD formula from low Selmer corank. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Number-theory researchers can connect a proven low Selmer-corank condition to the stated full leading-term formula.

Applicability and commercial boundary

The low-corank condition and Tate–Shafarevich information are not automatically cheap to compute. This gives no blanket cryptographic security or fast point-counting improvement.

Initial business decision

Research infrastructure or conditional engineering until a computable implementation, effective bounds and a recurring buyer need are demonstrated. No commercial novelty or profitability is established.

Next verification action

Inspect computability of the inputs and compare a known exact curve calculation.

Evidence scope

The catalog statement was individually reviewed. Manuscript proof and selected formal scope comparison remain queued. No independent Lean verification was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.

Exact Birch–Swinnerton-Dyer Formula from Low Selmer Corank.