1. Discuss student projects: a. Robert Bradshaw -- 2-descent b. Dustin -- computing a_p c. Robert Miller -- isogeny graphs, congruence graphs d. Koopa Koo -- theory needed to compute p-adic L-series 2. Examples galore. 3. Formula for computing L(E,s). 4. The rank challenge... computing order of vanishing. Next time: definition of p-adic L-series of E at good ordinary primes.