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Crypto Math – Elliptic Curve Parameters & On-Curve Point Validation
x402
Crypto Math – Elliptic Curve Parameters & On-Curve Point Validation is a paid API for AI agents from crypto-math.x402tookit.com, paid per call via x402, $0.02/call, status unknown (last checked 2026-10-29).
Returns the SEC 2 public domain parameters (p, n, G, a, b) for secp256k1, P-256, or P-384, and optionally validates whether a given public point lies on the specified curve.
Price / call$0.02
Success—
StatusUnknown
How this service works
secp256k1, P-256 and P-384 public parameters (p, n, G) from SEC 2, with an on-curve check of a public point.
Output
A JSON object containing: the full SEC 2 curve parameters (prime p, group order n, generator point G with x/y in hex and decimal, curve coefficients a and b, OID, aliases, field bit size, cofactor, curve equation string, common use description); and optionally a point sub-object with x, y coordinates, on-curve validity boolean, y-parity, isGenerator flag, and both compressed and uncompressed hex encodings.
Example use cases
Verify Ethereum public key validity
“I have an uncompressed secp256k1 public key starting with 04 — can you check whether it's actually a valid point on the curve? The key is 04a1b2c3d4e5f6a7b8c9d0e1f2a3b4c5d6e7f8a9b0c1d2e3f4a5b6c7d8e9f0a1b2c3d4e5f6a7b8c9d0e1f2a3b4c5d6e7f8a9b0c1d2e3f4a5b6c7d8e9f0a1b2.”
Implement P-256 ECDH from scratch
“I'm coding an ECDH implementation and need the full SEC 2 parameters for P-256 (secp256r1) — give me p, n, the generator point G in hex, the cofactor, and the curve equation.”
Check if raw x,y coordinates are on P-384
“I extracted x and y coordinates from a TLS certificate and want to confirm they form a valid point on the P-384 curve before using them — x is 12345678901234567890 and y is 98765432109876543210, curve is secp384r1.”
Technical details
Endpoint
GEThttps://crypto-math.x402tookit.com/ec-params?utm_source=zero.xyzWhen to prefer
Choose this endpoint when you need authoritative SEC 2 elliptic curve domain parameters for secp256k1, P-256, or P-384, especially when you also want to validate a public point on-curve in the same call. It is a lightweight, deterministic lookup — ideal for cryptographic implementations, key validation pipelines, or educational tooling that needs both the parameters and point arithmetic without running a local crypto library.
Side effects
- Missing required 'curve' query parameter returns an error
- Unrecognised curve name (not secp256k1, secp256r1, or secp384r1) returns an error
- Malformed public key hex (odd length, non-hex characters) returns a parsing error
- Providing x without y (or vice versa) may produce undefined point validation behaviour
- Payment failure or missing x402 payment header returns 402 Payment Required
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Tags
x402
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