Under rank-zero conditions on elliptic curves E1 and E2 over K, the K-quadratic points on the Fermat quartic are finite and computable, coinciding with Q-quadratic points for odd-degree K.
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Quadratic points on the Fermat quartic over number fields
Under rank-zero conditions on elliptic curves E1 and E2 over K, the K-quadratic points on the Fermat quartic are finite and computable, coinciding with Q-quadratic points for odd-degree K.