Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Small Heights in Large Non-Abelian Extensions   Let E be an elliptic curve over the rationals. Let L be an infinite Galois
extension of the rationals with uniformly bounded local degrees at almost all
primes. We will consider the infinite extension L(E_tor) of the rationals where
we adjoin all coordinates of torsion points of E. In this paper we will prove
an effective lower bound for the height of non-zero elements in L(E_tor) that
are not a root of unity.

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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: comp-gas