We give a method for finding a minimal point adjacent to 1 of the reduced lattice in cubic number fields using an isotropic vector of the quadratic form and two-dimensional lattice.
"A method for finding a minimal point of the lattice in cubic number fields (II)." Tsukuba J. Math. 38 (2) 227 - 237, March 2015. https://doi.org/10.21099/tkbjm/1429103723