TY - JOUR AU - Joachim Moussounda Mouanda AU - Djagwa Dehainsala AU - Kinvi Kangni PY - 2024 DA - 2024/04/10 TI - On Matrix Elliptic Curves and Matrix Solutions of the Exponential Diophantine Equation (X^{24}-I_{24})(Y^{24}-I_{24})=Z^{2} JO - Japan Journal of Research VL - 5 IS - 3 AB - We show that the structures of the matrix solutions of the matrix elliptic curves 2 3 6 EY X I : , α = +× ∈ α α  allow the construction of the matrix solutions of the equations 4 24 6 24 24 2 24 24 XY ZX IY I Z += − −= ,( )( ) . Mathematics Subject Classification(2010). 15B36, 11D61. SN - 2690-8077 UR - https://dx.doi.org/10.33425/2690-8077.1110 DO - 10.33425/2690-8077.1110