Various methods and systems are provided for a common mode trap for a magnetic resonance imaging (MRI) apparatus. In one embodiment, a common mode trap comprises: a first conductor and a second conductor counterwound around a length of a central conductor, the first and the second conductors radially spaced a distance from the central conductor, the first and second conductors fixed to a first side of the central conductor; and a third conductor and a fourth conductor counterwound around the length of the central conductor, the third and fourth conductors are radially spaced the distance from the central conductor, the third and fourth conductors fixed to a second side of the central conductor opposite the first side. In this way, the density of common mode trap conductors in a common mode trap may be increased, thereby increasing the mutual inductance between the common mode trap and the central conductor.