Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Class fields generated by coordinates of elliptic curves   Let $K$ be an imaginary quadratic field different from
$\mathbb{Q}(\sqrt{-1})$ and $\mathbb{Q}(\sqrt{-3})$. For a nontrivial integral
ideal $\mathfrak{m}$ of $K$, let $K_\mathfrak{m}$ be the ray class field modulo
$\mathfrak{m}$. By using some inequalities on special values of modular
functions, we show that a single $x$-coordinate of a certain elliptic curve
generates $K_\mathfrak{m}$ over $K$.

13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin