Abstract
For each linearly normal elliptic curve in , we determine Galois lines and their arrangement. The results are as follows: the curve has just six -lines and in case , it has eight -lines in addition. The -lines form the edges of a tetrahedron, in case , for each vertex of the tetrahedron, there exist just two -lines passing through it. We obtain as a corollary that each plane quartic curve of genus one does not have more than one Galois point.
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