A filtration element for filtering a fluid medium comprising a rigid porous support of cylindrical shape having a longitudinal central axis and comprising a plurality of channels (C 01, C 11, C 12... C 21, C 22 - C n1, C n2...) for the circulation of the fluid medium to be filtered with a view to recovering a filtrate at the periphery ( 1 1) of the support, which channels are made in the support parallel to its central axis, said channels (C 01, C 11, C 12... C 21, C 22.. C n1, C n2...) defining, in particular, filtration crowns ( F 1, F 2... F n), each crown constituting a filtration zone defined as a set of identical channels located over a circle, the filtration crowns being distributed over concentric circles, of at least three in number, in each of which crowns: - the channels (C 11, C 12... C 21, C 22... C n1, C n2...) have a noncircular transverse cross section, the transverse cross section of each channel having an axis of symmetry ( X, X 1... X n, X 11,... X 21..., X n1...) that passes through the center of the support, - two neighboring channels are separated by flow and connection paths (P, P 1, P 2...P n, P 11,... P 21..., P n1...), said flow and connection paths ( P, P 1, P 2...P n, P 11,... P 21..., P n1...) having an axis of symmetry (Y, Y 1, Y 2... Y n, Y 11,... Y 21..., Y n1...) that passes through the center of the support, - the ratios between the hydraulic diameters of any two channels (C 11, C 12... C 21, C 22... C n1, C n2...) of the filtration crowns are all within the interval 0.75-1.25, preferably within the interval 0.95-1.05, said filtration crowns (F 1, F 2... F n) being distributed concentrically and separated from one another by a continuous porous zone ( F 1, F 2... F n-1), without overlap between two adjacent crowns, and at the three crowns closest to the periphery of the support, known as row n, n-1 and n-2 crowns, there is at least a substantial alignment of 3 adjacent axes, located on the same side with respect to the center, taken among the axes (Y, Y 1, Y 2... Y n, Y 11,... Y 21..., Y n1...) of the flow and connection paths and the axes ( X, X 1... X n, X 11,... X 21..., X n1...) of the channels, which favors the mechanical strength of the support, it being understood that when the filtration element has more than three filtration crowns, there is at least one crown among the three crowns closest to the periphery of the support, known as row n, n-1 and n-2 crowns, the number of channels of which is not a multiple of the number of channels of the crown closest to the center of the support, known as row 1 crown. - the channels (C 11, C 12... C 21, C 22... C n1, C n2...) have a noncircular transverse cross section, the transverse cross section of each channel having an axis of symmetry ( X, X 1... X n, X 11,... X 21..., X n1...) that passes through the center of the support, - two neighboring channels are separated by flow and connection paths (P, P 1, P 2...P n, P 11,... P 21..., P n1...), said flow and connection paths ( P, P 1, P 2...P n, P 11,... P 21..., P n1...) having an axis of symmetry (Y, Y 1, Y 2... Y n, Y 11,... Y 21..., Y n1...) that passes through the center of the support, - the ratios between the hydraulic diameters of any two channels (C 11, C 12... C 21, C 22... C n1, C n2...) of the filtration crowns are all within the interval 0.75-1.25, preferably within the interval 0.95-1.05,