Irreducible cubics with positive discriminant up to 200, up to SL(2,Z)-equivalence 49 [ [1,2,-1,-1] [1,1,-2,-1] ] 81 [ [1,3,0,-1] [1,0,-3,-1] ] 148 [ [1,-1,-3,1] [1,1,-3,-1] ] 169 [ [1,-1,-4,-1] [1,4,1,-1] ] Irreducible cubics with positive discriminant up to 200, up to GL(2,Z)-equivalence 49 [ [1,2,-1,-1] ] 81 [ [1,3,0,-1] ] 148 [ [1,-1,-3,1] ] 169 [ [1,-1,-4,-1] ] Cubics with positive discriminant up to 200, up to SL(2,Z)-equivalence 1 [ [0,1,1,0] ] 4 [ [0,1,0,-1] ] 5 [ [0,1,-1,-1] ] 8 [ [0,1,0,-2] ] 9 [ [0,1,-1,-2] ] 12 [ [0,1,0,-3] ] 13 [ [0,1,-1,-3] ] 16 [ [0,1,0,-4] [0,2,2,0] ] 17 [ [0,1,-1,-4] ] 20 [ [0,1,0,-5] ] 21 [ [0,1,-1,-5] ] 24 [ [0,1,0,-6] ] 25 [ [0,1,-1,-6] ] 28 [ [0,1,0,-7] ] 29 [ [0,1,-1,-7] ] 32 [ [0,1,0,-8] [0,2,0,-1] ] 33 [ [0,1,-1,-8] ] 36 [ [0,1,0,-9] [0,2,-1,-1] [0,2,1,-1] ] 37 [ [0,1,-1,-9] ] 40 [ [0,1,0,-10] ] 41 [ [0,1,-1,-10] ] 44 [ [0,1,0,-11] ] 45 [ [0,1,-1,-11] ] 48 [ [0,1,0,-12] [0,2,-2,-1] ] 49 [ [0,1,-1,-12] [1,2,-1,-1] [1,1,-2,-1] ] 52 [ [0,1,0,-13] ] 53 [ [0,1,-1,-13] ] 56 [ [0,1,0,-14] ] 57 [ [0,1,-1,-14] ] 60 [ [0,1,0,-15] ] 61 [ [0,1,-1,-15] ] 64 [ [0,1,0,-16] [0,2,0,-2] ] 65 [ [0,1,-1,-16] ] 68 [ [0,1,0,-17] [0,2,-1,-2] [0,2,1,-2] ] 69 [ [0,1,-1,-17] ] 72 [ [0,1,0,-18] ] 73 [ [0,1,-1,-18] ] 76 [ [0,1,0,-19] ] 77 [ [0,1,-1,-19] ] 80 [ [0,1,0,-20] [0,2,-2,-2] ] 81 [ [0,1,-1,-20] [0,3,3,0] [1,3,0,-1] [1,0,-3,-1] ] 84 [ [0,1,0,-21] ] 85 [ [0,1,-1,-21] ] 88 [ [0,1,0,-22] ] 89 [ [0,1,-1,-22] ] 92 [ [0,1,0,-23] ] 93 [ [0,1,-1,-23] ] 96 [ [0,1,0,-24] [0,2,0,-3] ] 97 [ [0,1,-1,-24] ] 100 [ [0,1,0,-25] [0,2,-1,-3] [0,2,1,-3] ] 101 [ [0,1,-1,-25] ] 104 [ [0,1,0,-26] ] 105 [ [0,1,-1,-26] ] 108 [ [0,1,0,-27] [1,0,-3,0] ] 109 [ [0,1,-1,-27] ] 112 [ [0,1,0,-28] [0,2,-2,-3] ] 113 [ [0,1,-1,-28] ] 116 [ [0,1,0,-29] ] 117 [ [0,1,-1,-29] [0,3,-1,-1] [0,3,1,-1] ] 120 [ [0,1,0,-30] ] 121 [ [0,1,-1,-30] ] 124 [ [0,1,0,-31] ] 125 [ [0,1,-1,-31] [1,2,-2,-1] ] 128 [ [0,1,0,-32] [0,2,0,-4] ] 129 [ [0,1,-1,-32] ] 132 [ [0,1,0,-33] [0,2,-1,-4] [0,2,1,-4] ] 133 [ [0,1,-1,-33] ] 136 [ [0,1,0,-34] ] 137 [ [0,1,-1,-34] ] 140 [ [0,1,0,-35] ] 141 [ [0,1,-1,-35] ] 144 [ [0,1,0,-36] [0,2,-2,-4] [0,3,-2,-1] [0,3,2,-1] ] 145 [ [0,1,-1,-36] ] 148 [ [0,1,0,-37] [1,-1,-3,1] [1,1,-3,-1] ] 149 [ [0,1,-1,-37] ] 152 [ [0,1,0,-38] ] 153 [ [0,1,-1,-38] ] 156 [ [0,1,0,-39] ] 157 [ [0,1,-1,-39] ] 160 [ [0,1,0,-40] [0,2,0,-5] ] 161 [ [0,1,-1,-40] ] 164 [ [0,1,0,-41] [0,2,-1,-5] [0,2,1,-5] ] 165 [ [0,1,-1,-41] ] 168 [ [0,1,0,-42] ] 169 [ [0,1,-1,-42] [1,-1,-4,-1] [1,4,1,-1] ] 172 [ [0,1,0,-43] ] 173 [ [0,1,-1,-43] ] 176 [ [0,1,0,-44] [0,2,-2,-5] ] 177 [ [0,1,-1,-44] ] 180 [ [0,1,0,-45] ] 181 [ [0,1,-1,-45] ] 184 [ [0,1,0,-46] ] 185 [ [0,1,-1,-46] ] 188 [ [0,1,0,-47] ] 189 [ [0,1,-1,-47] [0,3,-3,-1] ] 192 [ [0,1,0,-48] [0,2,0,-6] ] 193 [ [0,1,-1,-48] ] 196 [ [0,1,0,-49] [0,2,-1,-6] [0,2,1,-6] ] 197 [ [0,1,-1,-49] ] 200 [ [0,1,0,-50] ] Cubics with positive discriminant up to 200, up to GL(2,Z)-equivalence 1 [ [0,1,1,0] ] 4 [ [0,1,0,-1] ] 5 [ [0,1,-1,-1] ] 8 [ [0,1,0,-2] ] 9 [ [0,1,-1,-2] ] 12 [ [0,1,0,-3] ] 13 [ [0,1,-1,-3] ] 16 [ [0,1,0,-4] [0,2,2,0] ] 17 [ [0,1,-1,-4] ] 20 [ [0,1,0,-5] ] 21 [ [0,1,-1,-5] ] 24 [ [0,1,0,-6] ] 25 [ [0,1,-1,-6] ] 28 [ [0,1,0,-7] ] 29 [ [0,1,-1,-7] ] 32 [ [0,1,0,-8] [0,2,0,-1] ] 33 [ [0,1,-1,-8] ] 36 [ [0,1,0,-9] [0,2,-1,-1] ] 37 [ [0,1,-1,-9] ] 40 [ [0,1,0,-10] ] 41 [ [0,1,-1,-10] ] 44 [ [0,1,0,-11] ] 45 [ [0,1,-1,-11] ] 48 [ [0,1,0,-12] [0,2,-2,-1] ] 49 [ [0,1,-1,-12] [1,2,-1,-1] ] 52 [ [0,1,0,-13] ] 53 [ [0,1,-1,-13] ] 56 [ [0,1,0,-14] ] 57 [ [0,1,-1,-14] ] 60 [ [0,1,0,-15] ] 61 [ [0,1,-1,-15] ] 64 [ [0,1,0,-16] [0,2,0,-2] ] 65 [ [0,1,-1,-16] ] 68 [ [0,1,0,-17] [0,2,-1,-2] ] 69 [ [0,1,-1,-17] ] 72 [ [0,1,0,-18] ] 73 [ [0,1,-1,-18] ] 76 [ [0,1,0,-19] ] 77 [ [0,1,-1,-19] ] 80 [ [0,1,0,-20] [0,2,-2,-2] ] 81 [ [0,1,-1,-20] [0,3,3,0] [1,3,0,-1] ] 84 [ [0,1,0,-21] ] 85 [ [0,1,-1,-21] ] 88 [ [0,1,0,-22] ] 89 [ [0,1,-1,-22] ] 92 [ [0,1,0,-23] ] 93 [ [0,1,-1,-23] ] 96 [ [0,1,0,-24] [0,2,0,-3] ] 97 [ [0,1,-1,-24] ] 100 [ [0,1,0,-25] [0,2,-1,-3] ] 101 [ [0,1,-1,-25] ] 104 [ [0,1,0,-26] ] 105 [ [0,1,-1,-26] ] 108 [ [0,1,0,-27] [1,0,-3,0] ] 109 [ [0,1,-1,-27] ] 112 [ [0,1,0,-28] [0,2,-2,-3] ] 113 [ [0,1,-1,-28] ] 116 [ [0,1,0,-29] ] 117 [ [0,1,-1,-29] [0,3,-1,-1] ] 120 [ [0,1,0,-30] ] 121 [ [0,1,-1,-30] ] 124 [ [0,1,0,-31] ] 125 [ [0,1,-1,-31] [1,2,-2,-1] ] 128 [ [0,1,0,-32] [0,2,0,-4] ] 129 [ [0,1,-1,-32] ] 132 [ [0,1,0,-33] [0,2,-1,-4] ] 133 [ [0,1,-1,-33] ] 136 [ [0,1,0,-34] ] 137 [ [0,1,-1,-34] ] 140 [ [0,1,0,-35] ] 141 [ [0,1,-1,-35] ] 144 [ [0,1,0,-36] [0,2,-2,-4] [0,3,-2,-1] ] 145 [ [0,1,-1,-36] ] 148 [ [0,1,0,-37] [1,-1,-3,1] ] 149 [ [0,1,-1,-37] ] 152 [ [0,1,0,-38] ] 153 [ [0,1,-1,-38] ] 156 [ [0,1,0,-39] ] 157 [ [0,1,-1,-39] ] 160 [ [0,1,0,-40] [0,2,0,-5] ] 161 [ [0,1,-1,-40] ] 164 [ [0,1,0,-41] [0,2,-1,-5] ] 165 [ [0,1,-1,-41] ] 168 [ [0,1,0,-42] ] 169 [ [0,1,-1,-42] [1,-1,-4,-1] ] 172 [ [0,1,0,-43] ] 173 [ [0,1,-1,-43] ] 176 [ [0,1,0,-44] [0,2,-2,-5] ] 177 [ [0,1,-1,-44] ] 180 [ [0,1,0,-45] ] 181 [ [0,1,-1,-45] ] 184 [ [0,1,0,-46] ] 185 [ [0,1,-1,-46] ] 188 [ [0,1,0,-47] ] 189 [ [0,1,-1,-47] [0,3,-3,-1] ] 192 [ [0,1,0,-48] [0,2,0,-6] ] 193 [ [0,1,-1,-48] ] 196 [ [0,1,0,-49] [0,2,-1,-6] ] 197 [ [0,1,-1,-49] ] 200 [ [0,1,0,-50] ] Irreducible cubics with negative discriminant down to -200, up to SL(2,Z)-equivalence -23 [ [1,-1,0,1] [1,1,0,-1] ] -31 [ [1,1,0,1] [1,-1,0,-1] ] -44 [ [1,-1,1,1] [1,1,1,-1] ] -59 [ [1,2,0,1] [1,-2,0,-1] ] -76 [ [1,-1,3,-1] [1,1,3,1] ] -83 [ [1,-1,1,-2] [1,1,1,2] ] -87 [ [1,1,2,-1] [1,-1,2,1] ] -104 [ [1,0,-1,2] [1,0,-1,-2] ] -107 [ [1,2,4,1] [1,-2,4,-1] ] -108 [ [1,0,0,2] [1,0,0,-2] ] -116 [ [1,-1,0,-2] [1,1,0,2] ] -135 [ [1,0,3,-1] [1,0,3,1] ] -139 [ [1,-1,1,2] [1,1,1,-2] ] -140 [ [1,0,2,2] [1,0,2,-2] ] -152 [ [1,-1,-2,-2] [1,1,-2,2] ] -172 [ [1,2,0,2] [1,-2,0,-2] ] -175 [ [1,2,3,-1] [1,-2,3,1] ] -176 [ [1,-1,3,1] [1,1,3,-1] ] -199 [ [1,1,4,1] [1,-1,4,-1] ] -200 [ [1,-1,2,2] [1,1,2,-2] ] Irreducible cubics with negative discriminant down to -200, up to GL(2,Z)-equivalence -23 [ [1,-1,0,1] ] -31 [ [1,1,0,1] ] -44 [ [1,-1,1,1] ] -59 [ [1,2,0,1] ] -76 [ [1,-1,3,-1] ] -83 [ [1,-1,1,-2] ] -87 [ [1,1,2,-1] ] -104 [ [1,0,-1,2] ] -107 [ [1,2,4,1] ] -108 [ [1,0,0,2] ] -116 [ [1,-1,0,-2] ] -135 [ [1,0,3,-1] ] -139 [ [1,-1,1,2] ] -140 [ [1,0,2,2] ] -152 [ [1,-1,-2,-2] ] -172 [ [1,2,0,2] ] -175 [ [1,2,3,-1] ] -176 [ [1,-1,3,1] ] -199 [ [1,1,4,1] ] -200 [ [1,-1,2,2] ] Cubics with negative discriminant down to -200, up to SL(2,Z)-equivalence -3 [ [0,1,1,1] ] -4 [ [0,1,0,1] ] -7 [ [0,1,1,2] ] -8 [ [0,1,0,2] ] -11 [ [0,1,1,3] ] -12 [ [0,1,0,3] ] -15 [ [0,1,1,4] ] -16 [ [0,1,0,4] [1,2,2,0] ] -19 [ [0,1,1,5] ] -20 [ [0,1,0,5] ] -23 [ [0,1,1,6] [1,-1,0,1] [1,1,0,-1] ] -24 [ [0,1,0,6] ] -27 [ [0,1,1,7] [1,0,0,1] ] -28 [ [0,1,0,7] [0,2,-1,1] [0,2,1,1] ] -31 [ [0,1,1,8] [1,1,0,1] [1,-1,0,-1] ] -32 [ [0,1,0,8] [0,2,0,1] ] -35 [ [0,1,1,9] ] -36 [ [0,1,0,9] ] -39 [ [0,1,1,10] ] -40 [ [0,1,0,10] ] -43 [ [0,1,1,11] ] -44 [ [0,1,0,11] [1,-1,1,1] [1,1,1,-1] ] -47 [ [0,1,1,12] ] -48 [ [0,1,0,12] [0,2,2,2] ] -51 [ [0,1,1,13] ] -52 [ [0,1,0,13] ] -55 [ [0,1,1,14] ] -56 [ [0,1,0,14] ] -59 [ [0,1,1,15] [1,2,0,1] [1,-2,0,-1] ] -60 [ [0,1,0,15] [0,2,-1,2] [0,2,1,2] ] -63 [ [0,1,1,16] ] -64 [ [0,1,0,16] [0,2,0,2] ] -67 [ [0,1,1,17] ] -68 [ [0,1,0,17] ] -71 [ [0,1,1,18] ] -72 [ [0,1,0,18] [0,3,-2,1] [0,3,2,1] [1,2,3,0] [1,-2,3,0] ] -75 [ [0,1,1,19] ] -76 [ [0,1,0,19] [1,-1,3,-1] [1,1,3,1] ] -79 [ [0,1,1,20] ] -80 [ [0,1,0,20] [0,2,2,3] ] -83 [ [0,1,1,21] [1,-1,1,-2] [1,1,1,2] ] -84 [ [0,1,0,21] ] -87 [ [0,1,1,22] [1,1,2,-1] [1,-1,2,1] ] -88 [ [0,1,0,22] ] -91 [ [0,1,1,23] ] -92 [ [0,1,0,23] [0,2,-1,3] [0,2,1,3] ] -95 [ [0,1,1,24] ] -96 [ [0,1,0,24] [0,2,0,3] ] -99 [ [0,1,1,25] [0,3,-1,1] [0,3,1,1] [1,-1,3,0] [1,1,3,0] ] -100 [ [0,1,0,25] [1,-1,0,2] [1,1,0,-2] ] -103 [ [0,1,1,26] ] -104 [ [0,1,0,26] [1,0,-1,2] [1,0,-1,-2] ] -107 [ [0,1,1,27] [1,2,4,1] [1,-2,4,-1] ] -108 [ [0,1,0,27] [1,0,3,0] [1,0,0,2] [1,0,0,-2] ] -111 [ [0,1,1,28] ] -112 [ [0,1,0,28] [0,2,2,4] [1,0,1,2] [1,0,1,-2] ] -115 [ [0,1,1,29] ] -116 [ [0,1,0,29] [1,-1,0,-2] [1,1,0,2] ] -119 [ [0,1,1,30] ] -120 [ [0,1,0,30] ] -123 [ [0,1,1,31] ] -124 [ [0,1,0,31] [0,2,-1,4] [0,2,1,4] ] -127 [ [0,1,1,32] ] -128 [ [0,1,0,32] [0,2,0,4] ] -131 [ [0,1,1,33] ] -132 [ [0,1,0,33] ] -135 [ [0,1,1,34] [0,3,3,2] [1,0,3,-1] [1,0,3,1] ] -136 [ [0,1,0,34] ] -139 [ [0,1,1,35] [1,-1,1,2] [1,1,1,-2] ] -140 [ [0,1,0,35] [1,0,2,2] [1,0,2,-2] ] -143 [ [0,1,1,36] ] -144 [ [0,1,0,36] [0,2,2,5] ] -147 [ [0,1,1,37] [1,-1,-1,-2] [1,1,-1,2] ] -148 [ [0,1,0,37] ] -151 [ [0,1,1,38] ] -152 [ [0,1,0,38] [1,-1,-2,-2] [1,1,-2,2] ] -155 [ [0,1,1,39] ] -156 [ [0,1,0,39] [0,2,-1,5] [0,2,1,5] ] -159 [ [0,1,1,40] ] -160 [ [0,1,0,40] [0,2,0,5] ] -163 [ [0,1,1,41] ] -164 [ [0,1,0,41] ] -167 [ [0,1,1,42] ] -168 [ [0,1,0,42] ] -171 [ [0,1,1,43] ] -172 [ [0,1,0,43] [1,2,0,2] [1,-2,0,-2] ] -175 [ [0,1,1,44] [1,2,3,-1] [1,-2,3,1] ] -176 [ [0,1,0,44] [0,2,2,6] [1,-1,3,1] [1,1,3,-1] ] -179 [ [0,1,1,45] ] -180 [ [0,1,0,45] [0,3,-2,2] [0,3,2,2] ] -183 [ [0,1,1,46] ] -184 [ [0,1,0,46] ] -187 [ [0,1,1,47] ] -188 [ [0,1,0,47] [0,2,-1,6] [0,2,1,6] ] -191 [ [0,1,1,48] ] -192 [ [0,1,0,48] [0,2,0,6] [0,4,-2,1] [0,4,2,1] [1,2,4,0] [1,-2,4,0] ] -195 [ [0,1,1,49] ] -196 [ [0,1,0,49] ] -199 [ [0,1,1,50] [1,1,4,1] [1,-1,4,-1] ] -200 [ [0,1,0,50] [1,-1,2,2] [1,1,2,-2] ] Cubics with negative discriminant down to -200, up to GL(2,Z)-equivalence -3 [ [0,1,1,1] ] -4 [ [0,1,0,1] ] -7 [ [0,1,1,2] ] -8 [ [0,1,0,2] ] -11 [ [0,1,1,3] ] -12 [ [0,1,0,3] ] -15 [ [0,1,1,4] ] -16 [ [0,1,0,4] [1,2,2,0] ] -19 [ [0,1,1,5] ] -20 [ [0,1,0,5] ] -23 [ [0,1,1,6] [1,-1,0,1] ] -24 [ [0,1,0,6] ] -27 [ [0,1,1,7] [1,0,0,1] ] -28 [ [0,1,0,7] [0,2,-1,1] ] -31 [ [0,1,1,8] [1,1,0,1] ] -32 [ [0,1,0,8] [0,2,0,1] ] -35 [ [0,1,1,9] ] -36 [ [0,1,0,9] ] -39 [ [0,1,1,10] ] -40 [ [0,1,0,10] ] -43 [ [0,1,1,11] ] -44 [ [0,1,0,11] [1,-1,1,1] ] -47 [ [0,1,1,12] ] -48 [ [0,1,0,12] [0,2,2,2] ] -51 [ [0,1,1,13] ] -52 [ [0,1,0,13] ] -55 [ [0,1,1,14] ] -56 [ [0,1,0,14] ] -59 [ [0,1,1,15] [1,2,0,1] ] -60 [ [0,1,0,15] [0,2,-1,2] ] -63 [ [0,1,1,16] ] -64 [ [0,1,0,16] [0,2,0,2] ] -67 [ [0,1,1,17] ] -68 [ [0,1,0,17] ] -71 [ [0,1,1,18] ] -72 [ [0,1,0,18] [0,3,-2,1] [1,2,3,0] ] -75 [ [0,1,1,19] ] -76 [ [0,1,0,19] [1,-1,3,-1] ] -79 [ [0,1,1,20] ] -80 [ [0,1,0,20] [0,2,2,3] ] -83 [ [0,1,1,21] [1,-1,1,-2] ] -84 [ [0,1,0,21] ] -87 [ [0,1,1,22] [1,1,2,-1] ] -88 [ [0,1,0,22] ] -91 [ [0,1,1,23] ] -92 [ [0,1,0,23] [0,2,-1,3] ] -95 [ [0,1,1,24] ] -96 [ [0,1,0,24] [0,2,0,3] ] -99 [ [0,1,1,25] [0,3,-1,1] [1,-1,3,0] ] -100 [ [0,1,0,25] [1,-1,0,2] ] -103 [ [0,1,1,26] ] -104 [ [0,1,0,26] [1,0,-1,2] ] -107 [ [0,1,1,27] [1,2,4,1] ] -108 [ [0,1,0,27] [1,0,3,0] [1,0,0,2] ] -111 [ [0,1,1,28] ] -112 [ [0,1,0,28] [0,2,2,4] [1,0,1,2] ] -115 [ [0,1,1,29] ] -116 [ [0,1,0,29] [1,-1,0,-2] ] -119 [ [0,1,1,30] ] -120 [ [0,1,0,30] ] -123 [ [0,1,1,31] ] -124 [ [0,1,0,31] [0,2,-1,4] ] -127 [ [0,1,1,32] ] -128 [ [0,1,0,32] [0,2,0,4] ] -131 [ [0,1,1,33] ] -132 [ [0,1,0,33] ] -135 [ [0,1,1,34] [0,3,3,2] [1,0,3,-1] ] -136 [ [0,1,0,34] ] -139 [ [0,1,1,35] [1,-1,1,2] ] -140 [ [0,1,0,35] [1,0,2,2] ] -143 [ [0,1,1,36] ] -144 [ [0,1,0,36] [0,2,2,5] ] -147 [ [0,1,1,37] [1,-1,-1,-2] ] -148 [ [0,1,0,37] ] -151 [ [0,1,1,38] ] -152 [ [0,1,0,38] [1,-1,-2,-2] ] -155 [ [0,1,1,39] ] -156 [ [0,1,0,39] [0,2,-1,5] ] -159 [ [0,1,1,40] ] -160 [ [0,1,0,40] [0,2,0,5] ] -163 [ [0,1,1,41] ] -164 [ [0,1,0,41] ] -167 [ [0,1,1,42] ] -168 [ [0,1,0,42] ] -171 [ [0,1,1,43] ] -172 [ [0,1,0,43] [1,2,0,2] ] -175 [ [0,1,1,44] [1,2,3,-1] ] -176 [ [0,1,0,44] [0,2,2,6] [1,-1,3,1] ] -179 [ [0,1,1,45] ] -180 [ [0,1,0,45] [0,3,-2,2] ] -183 [ [0,1,1,46] ] -184 [ [0,1,0,46] ] -187 [ [0,1,1,47] ] -188 [ [0,1,0,47] [0,2,-1,6] ] -191 [ [0,1,1,48] ] -192 [ [0,1,0,48] [0,2,0,6] [0,4,-2,1] [1,2,4,0] ] -195 [ [0,1,1,49] ] -196 [ [0,1,0,49] ] -199 [ [0,1,1,50] [1,1,4,1] ] -200 [ [0,1,0,50] [1,-1,2,2] ]