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We study the structure and total energy of a strange quark star (SQS) endowedwith a strong magnetic field with different rotational frequencies. The MIT bagmodel is used, with the density-dependent bag constant for the equation ofstate (EOS). The EOS is computed considering the Landau quantization effectregarding the strong magnetic fields (up to $5\times10^{17}$ G) in the interiorof the strange quark star. Using the LORENE library, we calculate thestructural parameters of SQS for different setups of magnetic field strengthsand rotational frequencies. In each setup, we perform calculations for $51$stellar configurations, with specified central enthalpy values. We investigatethe configurations with the maximum gravitational mass of SQS in each setup.Our models of SQSs are compared in the maximum gravitational mass, bindingenergy, compactness, and deformation of the star. We show that thegravitational mass might exceed $2.3 M_\odot$ in some models, which iscomparable with the mass of the recently detected ``black widow'' pulsar\emph{PSR J0952-0607} and the mass of \emph{GW190814} detected by theLIGO/Virgo collaboration. The deformation and maximum gravitational mass of SQScan be characterized by simple functions that have been fitted to account forvariations in both magnetic field strength and frequency. Rapidly rotatingstrange stars have a minimum gravitational mass given by the equatorialmass-shedding limit.

The maximum mass and deformation of rotating strange quark stars with strong magnetic fields