The course is intended for graduate students in cryptography and mathematics. Introductory topics on elliptic curves and cryptographic applications will be covered, with an emphasis on providing a strong background in support of the research talks at ECC.

Slides are available online and it's very good, it covers the main fields related to EC.

And, don't miss the rule 34 of crypto from the lecture on pairings:

Rule 34 of crypto. If you can think of a crypto scenario, there is already a pairing-based article about it.