Elliptic curve cryptography

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Can someone ELI5 what is elliptic curve cryptography and particularly what the Secp256K1 standard does? What i sort of grasp is that given an initial random number, the Secp256K1 will spit out a number.
Are there any online calculators or scripts to do the calculation? Is it just a 1 to 1 function or do you have to feed it additional parameters?