prime p= 11 Disc -3 not square mod p D= -7 x0= 9 (u,v)= (4, 2) list of curves [(3, 3), (1, 2)] list of orders [16, 8] parameters: (3, 3, 11) random point (0, 5) order is 16 parameters: (1, 2, 11) random point (1, 9) order is 8 result, all curves, all orders (3, 3, 11) with order 16 (1, 2, 11) with order 8 prime p= 103 D= -3 x0= 93 (u,v)= (20, 2) list of curves [(0, 102), (0, 101), (0, 99), (0, 95), (0, 87), (0, 71)] list of orders [124, 84, 117, 111, 91, 97] parameters: (0, 102, 103) random point (1, 0) order is 124 parameters: (0, 101, 103) random point (3, 98) order is 91 parameters: (0, 99, 103) random point (1, 93) order is 97 parameters: (0, 95, 103) random point (2, 0) order is 84 parameters: (0, 87, 103) random point (6, 32) parameters: (0, 71, 103) random point (1, 81) result, all curves, all orders (0, 95, 103) with order 84 (0, 99, 103) with order 97 <--- prime (0, 101, 103) with order 91 (0, 102, 103) with order 124