A CLASSICAL FAMILY OF ELLIPTIC CURVES HAVING RANK ONE AND THE 2-PRIMARY PART OF THEIR TATE-SHAFAREVICH GROUP NON-TRIVIAL

Kezuka, Y; Li, YX

Kezuka, Y (corresponding author), Univ Regensburg, Fak Math, D-93049 Regensburg, Germany.

DOCUMENTA MATHEMATICA, 2020; 25 (): 2115

Abstract

We study elliptic curves of the form x(3) + y(3) = 2p and x(3) + y(3) = 2p(2) where p is any odd prime satisfying p equivalent to 2 mod 9 or p equival......

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