Talk:Classical modular curve

Is anyone going to make this at all readable for the average wikipedian? This is so specialized that the lay person with the average 12th grade education can't understand it. 68.13.238.221 (talk) 15:26, 17 May 2008 (UTC)

The article is missing crucial information, to the extent that the article is somewhere between incorrect and meaningless. What is $\Phi$? There are no constraints at all mentioned on it. If it is allowed to be an arbitrary function (which is what one would usually infer from the notation), then any subset of the plane is a modular curve.... — Preceding unsigned comment added by 118.93.36.133 (talk) 19:11, 24 December 2017 (UTC)

Which polynomial?
"The polynomial $Φ_{n}$ has integer coefficients ..."

Which polynomial??? That notation has already been mentioned in the article as a polynomial in two variables, and also a polynomial in one variable. So which is it??? 98.255.224.144 (talk) 13:51, 20 March 2021 (UTC)

Exceptionally bad article
The only place that the subject of the article is "defined" is in the introductory section:

"In number theory, the classical modular curve is an irreducible plane algebraic curve given by an equation



''such that $Φ_{n}(x, y) = 0$ is a point on the curve. Here $(x, y) = (j(nτ), j(τ))$ denotes the $j$-invariant.''"

Except that this is not a definition, because


 * 1) Nothing is said about what the symbol τ means, or how it is quantified.


 * 2) Nothing is said about how to define the polynomial $j(τ)$.

The entire article could be deleted from Wikipedia, and no one would be worse off. 2601:200:C000:1A0:A991:82E8:4058:537B (talk) 15:07, 30 June 2021 (UTC)