Are there any available test cases for testing elliptic curves like secp256k1 (Korblitz curves from http://www.secg.org/collateral/sec2_final.pdf)? For curves like P192 there are for example those values: http://point-at-infinity.org/ecc/nisttv .

Moreover, what other ways one should test an implementation of an elliptic curve to make sure it is working correctly in all the scenarios used in encryption software?

Are there any easy to understand examples/tutorials of how to program and test elliptic curve algorithms that are available online?