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[ecdsa123]

1

[NotATether]

What is the range of the nonce used in your example, since if the nonce range is small enough (I think less than 2^248?), it is trivial to derive a solution for the private key.

[NotATether]

" if the nonce range is small enough (I think less than 2^248?), it is trivial to derive a solution for the private key"

how we can derive a solution for the private key in this example? I have no idea

I wrote some equations for the private key which you can view here. In particular, the first one which calculates the private key from r, s, and z (in the post it's called h) will be useful.

[puzzleplayer]

I try run this code (upper) on sagemath cell online
result is

signature matches
signature matches
False