This dataset contains the result of the numerical solution of a flexible two-link magnetic nano-swimmer actuated by a conic rotating magnetic field, figures 20-27 from https://doi.org/10.1103/vh58-lbb9. The data is for the optimization in the next parameters: links’ length ratio, conic field component h, joint’s stiffness component k, magnetic field’s amplitude component b, for speed and pitch. For more details, refer to the paper: https://doi.org/10.1103/vh58-lbb9.