Abstract
The \(V_4\)-lines for each linearly normal space elliptic curve form the edges of a tetrahedron, in addition the elliptic curve with \(j=12^3\) has \(Z_4\)-lines. We show the arrangement of \(V_4\) and \(Z_4\)-lines concretly for the curve. As a corollary we obtain that each irreducible quartic curve with genus one has at most two Galois points, which is a correction of the previous paper (Yoshihara, Algebra Colloq 19(no. spec 01):867–876, 2012).
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Kanazawa, M., Yoshihara, H. Galois lines for space elliptic curve with \(j=12^3\). Beitr Algebra Geom 59, 431–444 (2018). https://doi.org/10.1007/s13366-018-0380-z
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DOI: https://doi.org/10.1007/s13366-018-0380-z