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I want to know the order of the curve that have been built above i.e K283_curve.order(). Is there a way to know the order of that curve and in that how could I generate a random point which is element of that curve? this works fine FF = sage.rings.finite_rings.finite_field_ext_pari.FiniteField_ext_pari;K. = FF(order, 'a', modulus=x^283 + x^12 + x^7 + x^5 + 1 )[]
How could I get its order? In that, how could I find a random point of that curve?