Galois lines for space elliptic curve with j=12^3
Algebraic Geometry
2014-05-06 v1 Number Theory
Abstract
The V_4-lines for each linearly normal space elliptic curve form the edges of a tetrahedron, however in case the elliptic curve has j=12^3, there exist Z_4-lines in addition. We show the arrangement of V_4 and Z_4-lines explicitly for the curve. As a corollary we obtain that each irreducible quartic curve with genus one has at most two Galois points.
Cite
@article{arxiv.1405.0759,
title = {Galois lines for space elliptic curve with j=12^3},
author = {Mitsunori Kanazawa and Hisao Yoshihara},
journal= {arXiv preprint arXiv:1405.0759},
year = {2014}
}