The DS28C36 is NIST P256 too? https://www.analog.com/media/en/technical-documentation/data-sheets/ds28c36.pdf
(This link above btw is an abridged data sheet. The full datasheet is under NDA for which I call bullshit. Friends don't let friends use Maxim.)
The Koblitz curve is really exotic outside the blockchain/nostr bubble. Nostr doesn't use Schnorr sigs AFAIK just plain EcDsa.
Not sure how Coldcard works.