Solar filaments are intriguing structures suspended in the solar corona at heights uprnto 100Mm above the chromosphere, but they are made of chromospheric materialrnwhich is one hundred times cooler and denser than the coronal material, indicatingrnthat they are thermally and pressure isolated from the surrounding environment.rnStudying filamentsâ€™ topological magnetic field structures, magnetic energyrnand electric current density is crucial to know its stability, because unstable conditionsrncan result in explosive events: flare and coronal mass ejection (CME). Allrnthe studies in the area are limited to the small scale filaments near to the size ofrnsunspot. This study is the first to use non-linear force-free field (NLFFF) model inrnspherical geometry to study a gain filament (with length more than 800Mm) alongrnpolarity inversion line (PIL) where it is in weak-field region (with photospheric fieldrnregion of _ 500G). Moreover, the non-linear force-free extrapolation code take uncertaintiesrnin to account in the photospheric field data which occur due to noise,rnincomplete inversions or azimuth resolving techniques.rnBoth potential field and nonlinear force-free coronal magnetic field modelingrnmethods are applied with preprocessing of photospheric full-disk vector magnetogramsrnfrom the Helioseismic and Magnetic Imager (HMI) of solar dynamics observatoryrn(SDO) and the Vector Spectromagnetograph (VSM) of the Synoptic OpticalrnLong-term Investigations of the Sun (SOLIS) using the optimization procedurernto full-disk vector magnetograms in spherical geometry is carried-out to make thernboundary data more consistent with the force-free principle. In this process thernpressure gradient and gravity are neglected, and only Lorentz force is considered.rnHowever, in solar corona for the force-free condition the Lorentz force is zero,wherernthe current density is parallel to the magnetic field.rn2rnTopological magnetic field structure of the filament is resulted from sheared arcadesrnover the PIL. The magnetic field lines obtained from non-linear force-freernextrapolation based on HMI and VSM data have good agreement though they haverndifferent structures with the magnetic field lines from potential field source surfacern(PFSS) model. The non-linear force-free extrapolation based on HMI data haverngreater total magnetic energy, free magnetic energy, and surface electric currentrndensity compared to the one from VSM data.