ON THE FAMILY OF ELLIPTIC CURVES X + 1/ X + Y + 1/ Y + t = 0
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We study various properties of the family of elliptic curves x+1/x+y+1/y+t = 0, which is isomorphic to the Weierstrass curve E t : Y 2 = X ( X 2 + ( t 2 4 - 2 ) X + 1 ) . . This equation arises from the study of the Mahler measure of polynomials. We show... ...
