The elliptic threefold y^2=x^3+16s^6+16t^6-32(t^3s^3+t^3+s^3)+16

Remke Kloosterman

doi:10.1216/RMJ-2012-42-2-643

paper

The elliptic threefold y^2=x^3+16s^6+16t^6-32(t^3s^3+t^3+s^3)+16

arXiv:0812.3222 · doi:10.1216/RMJ-2012-42-2-643

Abstract

We present a method to calculate the rank of $E(\oQ(s,t))$ for the elliptic curve mentioned in the title. This method uses a generalization of a method from Van Geemen and Werner to calculate $h^{4} (Y)$ for nodal hypersurfaces $Y$ .

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