Note: there was no daily post due Friday Oct 11th, no worries there.
Warning: Poster Plan is due Wednesday October 16th. See the tab “Posters” for more detail. It requires a title/abstract/work plan, so you’ll want to have at least a brief discussion as a group before Wednesday.
Friday’s class wasn’t a good one to miss, so I’ll try to post a link on the Archive page to last year’s recording, for those who weren’t in attendance.
I’ve added everyone into poster groups in canvas — check that this is correct! Also, you should be able to contact one another there, or on discord.
Compute the sum of the following two points on this elliptic curve. $E: y^2 = x^3 + x + 1$ modulo $7$. $P = (0,1)$ and $Q = (2,2)$. Compute $P+Q$.
What is $P + \infty$ on this curve?
What is $-P$?
Suppose, on the same curve, we want to compute the sum of $Q$ with itself. That means we need to find a tangent line! Compute $Q+Q$. (I’ll do this in class also.)
Show that if $P=(x,0)$ is a point on an elliptic curve, then $2P = \infty$.