Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit Chabauty-Kim for the Split Cartan Modular Curve of Level 13   We extend the explicit quadratic Chabauty methods developed in previous work
by the first two authors to the case of non-hyperelliptic curves. This results
in an algorithm to compute the rational points on a curve of genus $g \ge 2$
over the rationals whose Jacobian has Mordell-Weil rank $g$ and Picard number
greater than one, and which satisfies some additional conditions. This
algorithm is then applied to the modular curve $X_{s}(13)$, completing the
classification of non-CM elliptic curves over $\mathbf{Q}$ with split Cartan
level structure due to Bilu-Parent and Bilu-Parent-Rebolledo.

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The categories of this paper are: nlin
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci