It’s simple to search out the biggest integer answers to the curve equation y² = x³ + 7 mod p, the place p = 2²⁵⁶-2³²-977, by means of merely making an attempt numbers from prime to low till you hit an answer.

The perfect imaginable X coordinate is p-2, in level (115792089237316195423570985008687907853269984665640564039457584007904539707900, 1148038623339182617959457666574527036743672745957844424855269387484341771889).

The perfect imaginable Y coordinate is p-7, in level (74457389898078305058288866037262764012489787283698261733820383101097343325095, 115792089237316195423570985008687907853269984665640564039457584007904539707895).

We can not perhaps compute what the corresponding non-public keys for those issues are. Doing so would quantity to breaking the discrete logarithm downside.