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arxiv: 1402.1632 · v1 · pith:RX63Y52Mnew · submitted 2014-02-07 · 🧮 math.NT

Singular Moduli that are Algebraic Units

classification 🧮 math.NT
keywords algebraiccurvesunitscomplexellipticfinitelygeneralizedintegral
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We prove that only finitely many $j$-invariants of elliptic curves with complex multiplication are algebraic units. A rephrased and generalized version of this result resembles Siegel's Theorem on integral points of algebraic curves.

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