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arxiv: 1203.1187 · v2 · pith:QG44LVHKnew · submitted 2012-03-06 · 🧮 math.NT

Bounding j-invariant of integral points on X_(ns)⁺(p)

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keywords integralinvariantbakerboundingboundscartancorrespondingcurve
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For prime $p\ge 7$, by using Baker's method we obtain two explicit bounds in terms of $p$ for the $j$-invariant of an integral point on $X_{\ns}^{+}(p)$ which is the modular curve of level $p$ corresponding to the normalizer of a non-split Cartan subgroup of $\GL_2(\Z/p\Z)$.

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