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

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

2008-12-17

arxiv.org/abs/0812.3222v1

Mathematics

Algebraic Geometry

Scientific paper

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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