Thanks for creating this.
To start with, we do not need to know what modular forms or elliptic curves are in too much detail.
Just imagine them as areas of study in number theory.
Completely different areas.
Completely unrelated.
To solve Fermat's Last Theorem, it was necessary to prove they were identical objects.
Let that sink in.
The language of mathematics was so utterly unfit for purpose, that two identical or equivalent objects did not appear to be so.
Fundamental problem?
Looking at this description, it's hard to make head nor tail.
The square of x plus the square of y being equal to r doesn't look like a circle either.
If you can pinpoint the discovery that lead to the idea that modular forms being equal to elliptic curves, you don't need to know the mathematics too much, that single step gave away the problem.
I'll bring it tomorrow if no one finds it before then…
I've been trying to find the specific book.
It has a superb intro that talks about the Taylor series in a way that we layman can understand.
If I don't find it, I'll paraphrase.
Thanks for your patience.
It's from the nineties.