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ON TATE-SHAFAREVICH GROUPS OF SOME ELLIPTIC CURVES FRANZ LEMMERMEYER Abstract. Generalizing results of Stroeker and Top we show that the 2-ranks of the Tate-Shafarevich groups of the elliptic curves y 2 = (x + k)(x2 + k2
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Document Date: 2003-09-11 11:04:03


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ON TATE-SHAFAREVICH / TATE-SHAFAREVICH / Selmer / /

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pence / /

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factor / nontrivial primitive integral solution / few numerical solutions / heavier machinery / nontrivial primitive solution / quadratic reciprocity law / rational solution / mean non-trivial primitive integral solution / addition law / rational solutions / nontrivial1 primitive2 solution / /

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FRANZ LEMMERMEYER / Ek / /

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model / conductor / /

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M-16 / /

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