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Label Class Base field Conductor norm Rank Torsion CM Sato-Tate Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
112896.3-CMh1 112896.3-CMh \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\mathsf{trivial}$ $-3$ $\mathrm{U}(1)$ $1$ $0.635807573$ 2.936669388 \( 0 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( -348 a + 596\bigr] \) ${y}^2={x}^{3}-348a+596$
112896.3-CMg1 112896.3-CMg \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\mathsf{trivial}$ $-3$ $\mathrm{U}(1)$ $1$ $0.635807573$ 0.734167347 \( 0 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 348 a - 596\bigr] \) ${y}^2={x}^{3}+348a-596$
112896.3-CMf1 112896.3-CMf \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\mathsf{trivial}$ $-3$ $\mathrm{U}(1)$ $1$ $1.682188720$ 1.942424221 \( 0 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 12 a + 20\bigr] \) ${y}^2={x}^{3}+12a+20$
112896.3-CMe1 112896.3-CMe \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $-3$ $\mathrm{U}(1)$ $1$ $1.930686265$ 2.229364470 \( 0 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 18 a - 19\bigr] \) ${y}^2={x}^{3}+18a-19$
112896.3-CMe2 112896.3-CMe \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z$ $-12$ $\mathrm{U}(1)$ $1$ $0.965343132$ 2.229364470 \( 54000 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -120 a + 45\) , \( 396 a - 418\bigr] \) ${y}^2={x}^{3}+\left(-120a+45\right){x}+396a-418$
112896.3-CMd1 112896.3-CMd \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $-3$ $\mathrm{U}(1)$ $1$ $1.930686265$ 2.229364470 \( 0 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( -18 a + 19\bigr] \) ${y}^2={x}^{3}-18a+19$
112896.3-CMd2 112896.3-CMd \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z$ $-12$ $\mathrm{U}(1)$ $1$ $0.965343132$ 2.229364470 \( 54000 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 75 a - 120\) , \( -396 a + 418\bigr] \) ${y}^2={x}^{3}+\left(75a-120\right){x}-396a+418$
112896.3-CMc1 112896.3-CMc \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\mathsf{trivial}$ $-3$ $\mathrm{U}(1)$ $1$ $0.553973137$ 0.639673080 \( 0 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( -624 a - 256\bigr] \) ${y}^2={x}^{3}-624a-256$
112896.3-CMb1 112896.3-CMb \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\mathsf{trivial}$ $-3$ $\mathrm{U}(1)$ $1$ $1.465675155$ 1.692415891 \( 0 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( -48 a + 32\bigr] \) ${y}^2={x}^{3}-48a+32$
112896.3-CMa1 112896.3-CMa \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\mathsf{trivial}$ $-3$ $\mathrm{U}(1)$ $1$ $1.465675155$ 1.692415891 \( 0 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 48 a - 32\bigr] \) ${y}^2={x}^{3}+48a-32$
112896.3-a1 112896.3-a \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.758218039$ $1.001006480$ 3.505583864 \( \frac{1452800}{63} a - \frac{3291136}{63} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 109 a - 65\) , \( -290 a - 90\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(109a-65\right){x}-290a-90$
112896.3-a2 112896.3-a \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1.516436078$ $0.500503240$ 3.505583864 \( \frac{645040}{1323} a - \frac{49744}{441} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 64 a - 140\) , \( -128 a - 996\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(64a-140\right){x}-128a-996$
112896.3-a3 112896.3-a \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.758218039$ $0.250251620$ 3.505583864 \( -\frac{27489164}{5103} a + \frac{34612712}{5103} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -1016 a + 1000\) , \( 1576 a - 11484\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-1016a+1000\right){x}+1576a-11484$
112896.3-a4 112896.3-a \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.758218039$ $0.250251620$ 3.505583864 \( -\frac{13299014828}{21609} a + \frac{3248074744}{21609} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 424 a - 2480\) , \( 11176 a - 48012\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(424a-2480\right){x}+11176a-48012$
112896.3-b1 112896.3-b \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.715779501$ $0.881116048$ 3.491354523 \( 768 a + 768 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -57 a + 3\) , \( -87 a + 149\bigr] \) ${y}^2={x}^{3}+\left(-57a+3\right){x}-87a+149$
112896.3-b2 112896.3-b \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $3.431559003$ $0.440558024$ 3.491354523 \( -77808 a + 13056 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -357 a - 252\) , \( 4344 a + 674\bigr] \) ${y}^2={x}^{3}+\left(-357a-252\right){x}+4344a+674$
112896.3-c1 112896.3-c \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.647975441$ $0.564373927$ 3.378196004 \( \frac{4185248}{63} a - \frac{356176}{21} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -311 a + 313\) , \( -59 a + 2304\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-311a+313\right){x}-59a+2304$
112896.3-c2 112896.3-c \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.647975441$ $0.564373927$ 3.378196004 \( \frac{5901344}{7203} a + \frac{8165936}{7203} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 154 a - 137\) , \( 493 a - 549\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(154a-137\right){x}+493a-549$
112896.3-c3 112896.3-c \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1.295950883$ $1.128747854$ 3.378196004 \( -\frac{126976}{147} a + \frac{305152}{147} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -41 a + 28\) , \( 40 a - 30\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-41a+28\right){x}+40a-30$
112896.3-c4 112896.3-c \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.647975441$ $0.564373927$ 3.378196004 \( -\frac{34062272}{21} a + \frac{13692688}{21} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -596 a + 328\) , \( 3088 a - 4848\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-596a+328\right){x}+3088a-4848$
112896.3-d1 112896.3-d \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.703521947$ $2.331213941$ 3.787556729 \( 768 a + 768 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -9 a + 6\) , \( -3 a - 5\bigr] \) ${y}^2={x}^{3}+\left(-9a+6\right){x}-3a-5$
112896.3-d2 112896.3-d \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.407043895$ $1.165606970$ 3.787556729 \( -77808 a + 13056 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -84 a + 21\) , \( -276 a + 226\bigr] \) ${y}^2={x}^{3}+\left(-84a+21\right){x}-276a+226$
112896.3-e1 112896.3-e \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.526137764$ 1.762232097 \( 768 a + 768 \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -18\) , \( 17 a - 3\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}-18{x}+17a-3$
112896.3-e2 112896.3-e \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.763068882$ 1.762232097 \( -77808 a + 13056 \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 85 a - 203\) , \( 621 a - 1136\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(85a-203\right){x}+621a-1136$
112896.3-f1 112896.3-f \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.539576981$ $0.358179150$ 3.570615345 \( -\frac{8372116}{21} a - \frac{34587500}{63} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 1232 a - 88\) , \( -2536 a - 14420\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(1232a-88\right){x}-2536a-14420$
112896.3-f2 112896.3-f \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.539576981$ $0.358179150$ 3.570615345 \( \frac{461854796}{7203} a - \frac{527858260}{7203} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 872 a - 688\) , \( 9272 a - 1796\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(872a-688\right){x}+9272a-1796$
112896.3-f3 112896.3-f \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1.079153963$ $0.716358300$ 3.570615345 \( -\frac{37648}{49} a + \frac{197696}{147} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 92 a - 28\) , \( 80 a - 260\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(92a-28\right){x}+80a-260$
112896.3-f4 112896.3-f \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.539576981$ $1.432716600$ 3.570615345 \( \frac{32512}{21} a + \frac{30976}{21} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -28 a + 17\) , \( 26 a - 56\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-28a+17\right){x}+26a-56$
112896.3-g1 112896.3-g \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.450177214$ $1.228270874$ 4.113529298 \( -\frac{3840}{7} a + \frac{3072}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 9 a + 15\) , \( -75 a + 22\bigr] \) ${y}^2={x}^{3}+\left(9a+15\right){x}-75a+22$
112896.3-g2 112896.3-g \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.725088607$ $0.614135437$ 4.113529298 \( \frac{242448}{49} a + \frac{59856}{49} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -156 a - 15\) , \( -852 a + 442\bigr] \) ${y}^2={x}^{3}+\left(-156a-15\right){x}-852a+442$
112896.3-h1 112896.3-h \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.792713453$ $1.021057160$ 3.738485012 \( \frac{452304}{49} a - \frac{571104}{49} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -76 a + 53\) , \( 100 a - 258\bigr] \) ${y}^2={x}^{3}+\left(-76a+53\right){x}+100a-258$
112896.3-h2 112896.3-h \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.396356726$ $2.042114321$ 3.738485012 \( -\frac{20736}{7} a + \frac{6912}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -11 a - 2\) , \( -19 a + 1\bigr] \) ${y}^2={x}^{3}+\left(-11a-2\right){x}-19a+1$
112896.3-h3 112896.3-h \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.378140360$ $0.340352386$ 3.738485012 \( -\frac{4757232}{117649} a + \frac{227911200}{117649} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 444 a - 387\) , \( 1164 a - 314\bigr] \) ${y}^2={x}^{3}+\left(444a-387\right){x}+1164a-314$
112896.3-h4 112896.3-h \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.189070180$ $0.680704773$ 3.738485012 \( \frac{3512064}{343} a + \frac{33371904}{343} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 249 a - 222\) , \( -1587 a + 589\bigr] \) ${y}^2={x}^{3}+\left(249a-222\right){x}-1587a+589$
112896.3-i1 112896.3-i \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.419668822$ 1.938367259 \( \frac{29968}{27} a - \frac{2080}{3} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -66 a - 177\) , \( 1521 a + 315\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-66a-177\right){x}+1521a+315$
112896.3-i2 112896.3-i \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.839337644$ 1.938367259 \( -\frac{41728}{9} a + \frac{27392}{9} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -51 a + 93\) , \( 144 a + 225\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-51a+93\right){x}+144a+225$
112896.3-j1 112896.3-j \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.073737041$ 1.239844739 \( \frac{256}{3} a - \frac{512}{3} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -17 a + 19\) , \( 44 a + 72\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-17a+19\right){x}+44a+72$
112896.3-j2 112896.3-j \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.536868520$ 1.239844739 \( \frac{547472}{2187} a + \frac{3353488}{2187} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 157 a - 167\) , \( -241 a + 444\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(157a-167\right){x}-241a+444$
112896.3-j3 112896.3-j \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.536868520$ 1.239844739 \( -\frac{53296}{3} a + \frac{43216}{3} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 268 a + 4\) , \( -316 a + 1824\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(268a+4\right){x}-316a+1824$
112896.3-j4 112896.3-j \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.073737041$ 1.239844739 \( \frac{47028992}{81} a + \frac{1742336}{81} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 112 a - 137\) , \( -634 a + 531\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(112a-137\right){x}-634a+531$
112896.3-k1 112896.3-k \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.110339336$ 2.564218859 \( \frac{29968}{27} a - \frac{2080}{3} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -3 a + 33\) , \( -117 a + 72\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-3a+33\right){x}-117a+72$
112896.3-k2 112896.3-k \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.220678673$ 2.564218859 \( -\frac{41728}{9} a + \frac{27392}{9} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 12 a - 12\) , \( -21 a + 15\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(12a-12\right){x}-21a+15$
112896.3-l1 112896.3-l \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.431272828$ $2.127427560$ 4.237758837 \( -\frac{3840}{7} a + \frac{3072}{7} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -4 a + 8\) , \( -3 a + 10\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-4a+8\right){x}-3a+10$
112896.3-l2 112896.3-l \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.862545657$ $1.063713780$ 4.237758837 \( \frac{242448}{49} a + \frac{59856}{49} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 6 a - 57\) , \( 19 a + 161\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(6a-57\right){x}+19a+161$
112896.3-m1 112896.3-m \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.361026471$ $0.841467970$ 4.209468375 \( -1024 a + 3072 \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -3 a - 72\) , \( -6 a + 201\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-3a-72\right){x}-6a+201$
112896.3-n1 112896.3-n \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.446013461$ $2.226314985$ 4.586315586 \( -1024 a + 3072 \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -7 a - 4\) , \( -14 a - 1\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-7a-4\right){x}-14a-1$
112896.3-o1 112896.3-o \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $0.338531005$ 1.563607735 \( \frac{325140500}{21} a - \frac{527434000}{21} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 2366 a - 1285\) , \( 30143 a + 8881\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(2366a-1285\right){x}+30143a+8881$
112896.3-o2 112896.3-o \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.169265502$ 1.563607735 \( \frac{27056768750}{17294403} a - \frac{88919428250}{5764801} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -3034 a + 1475\) , \( 47159 a - 62327\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-3034a+1475\right){x}+47159a-62327$
112896.3-o3 112896.3-o \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.354124020$ 1.563607735 \( \frac{160000}{21} a - \frac{128000}{21} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 26 a - 40\) , \( -79 a + 112\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(26a-40\right){x}-79a+112$
112896.3-o4 112896.3-o \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.338531005$ 1.563607735 \( \frac{22841500}{21609} a - \frac{23932000}{21609} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -154 a + 395\) , \( 4103 a - 1199\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-154a+395\right){x}+4103a-1199$
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  *The rank, regulator and analytic order of Ш are not known for all curves in the database; curves for which these are unknown will not appear in searches specifying one of these quantities.