## How to generate an elliptic curve in Sage

The list is a list of coefficients: [0,a,0,b,c] for y^2 = x^3 + ax^2 + bx + c.

You can put the field of definition in the first spot, e.g. GF(7) or RR or QQ

## Get the points of your elliptic curve

The point (x,y) is written as (x:y:1) and the point at infinity is (0:1:0).