Galois lines for space elliptic curve with j=123
Abstract
The V4-lines for each linearly normal space elliptic curve form the edges of a tetrahedron, however in case the elliptic curve has j=123, there exist Z4-lines in addition. We show the arrangement of V4 and Z4-lines explicitly for the curve. As a corollary we obtain that each irreducible quartic curve with genus one has at most two Galois points.
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