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- W1997609855 abstract "If E is a minimal elliptic curve defined over Z , we obtain a bound C , depending only on the global Tamagawa number of E , such that for any point P ∈ E ( Q ) , nP is integral for at most one value of n > C . As a corollary, we show that if E / Q is a fixed elliptic curve, then for all twists E ′ of E of sufficient height, and all torsion-free, rank-one subgroups Γ ⊆ E ′ ( Q ) , Γ contains at most 6 integral points. Explicit computations for congruent number curves are included." @default.
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- W1997609855 date "2009-01-01" @default.
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- W1997609855 title "Multiples of integral points on elliptic curves" @default.
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- W1997609855 doi "https://doi.org/10.1016/j.jnt.2008.08.001" @default.
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