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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 K1213a : X(395), X(398), X(5318), X(23302), X(42489, X(42814), X(42816), X(42818) on K1213b :X(396), X(397), X(5321), X(23303), X(42488), X(42813), X(42815), X(42817) |
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Geometric properties : |
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K1213a and K1213b are the KHO-cubics with respective KHO-equations : x (x^2 - 3 y^2 + 2 y z - z^2) + 2 y (x^2 - 6 y z + 3 z^2) = 0 or 5 (2 x - 3 y) (x + z) (x + 2 y - z) - 3 (2 x + 3 y) (x - z) (x - 2 y + z) = 0 x (x^2 - 3 y^2 + 2 y z - z^2) - 2 y (x^2 - 6 y z + 3 z^2) = 0 or 3 (2 x - 3 y) (x + z) (x + 2 y - z) - 5 (2 x + 3 y) (x - z) (x - 2 y + z) = 0 |
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