To put a little color on the BSD conjecture, it states that the rank (0, 1, 2, 3, etc.) of rational points on an elliptic curve is related to the residue (coefficient of 1/q) of the L-function for the curve. There are some additional multiplicative factors, in particular the size of the Tate-Shafarevich group.

No one knows how to compute the size of that group in general (in fact no one has proved that it's finite!). Computing the rank of a curve via non-analytic means is more akin to a bespoke proof than a straightforward computation (see Noam Elkies' work).

So saying you're going to disprove BSD with blind computation is rather naive unless you're sitting on several career-defining proofs and not sharing them.