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too complicated to be written here. Click on the link to download a text file. |
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on both curves : X(2), X(3), X(4), X(13), X(14), X(15), X(16), X(17), X(18) on K1212a : X(36969), X(42125), X(42129), X(42926), X(42928), X(42930), X(42932), X(42934), X(42936), X(42938) on K1212b :X(36970), X(42128), X(42132), X(42927), X(42929), X(42931), X(42933), X(42935), X(42937), X(42939) |
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Geometric properties : |
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K1212a and K1212b are the KHO-cubics with respective KHO-equations : x (x^2 - 3 y^2 + 2 y z - z^2) + y (x^2 - 6 y z + 3 z^2) = 0 or 3 (2 x - 3 y) (x + z) (x + 2 y - z) - (2 x + 3 y) (x - z) (x - 2 y + z) = 0 x (x^2 - 3 y^2 + 2 y z - z^2) - y (x^2 - 6 y z + 3 z^2) = 0 or (2 x - 3 y) (x + z) (x + 2 y - z) - 3 (2 x + 3 y) (x - z) (x - 2 y + z) = 0 |
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