Cryptography Reference
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works with only small (but noticeable) probability then it is possible to have a CDH
instance on an elliptic curve E for which the oracle does not work for any twist of E .
By moving around the isogeny class they claim that the probability of success increases.
However, it is still possible to have a CDH instance on an elliptic curve E for which the
oracle does not work for any elliptic curve in the isogeny class of E .
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