I want to know what security level is provided by an elliptic curve used in Supersingular isogeny Diffie–Hellman key exchange (SIDH). Is there any mathematical convention to follow or by looking at different parameters we can find the security level?
For instance, what security is provided by the type a and type d curves which are included in the Charm crypto library?
I know the type a curve SS512 and SS1024 have a prime field of 512 and 1024 bits respectively. Can anyone tell me what security is provided by them?