It is the fiber at t = −94073/34016 of Elkies' K3 surface. This value of t lies on a rank-5 subfamily over Q(u), found by Dujella-Peral. The subfamily is defined by the condition 2(49t+22)(872t+791) = □, which gives an extra quadratic section. It is parametrized by t = (791 − 8624u²)/(19208u² − 872), and the curve is the fiber at u = 25/131. Found with the assistance of Claude, based on our old PARI/GP code.
It is the fiber at t = −94073/34016 of Elkies' K3 surface. This value of t lies on a rank-5 subfamily over Q(u), found by Dujella-Peral. The subfamily is defined by the condition 2(49t+22)(872t+791) = □, which gives an extra quadratic section. It is parametrized by t = (509443200u² + 1543)/(1588029975u² − 9975), and the curve is the fiber at u = 25/131. Found with the assistance of Claude, based on our old PARI/GP code.
It is the fiber at t = −94073/34016 of Elkies' K3 surface. This value of t lies on a rank-5 subfamily over Q(u), found by Dujella-Peral. The subfamily is defined by the condition 2(49t+22)(872t+791) = □, which gives an extra quadratic section. It is parametrized by t = (509443200u² + 1543)/(1588029975u² − 9975), and the curve is the fiber at u = 25/131.
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