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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
37632.3-a1 37632.3-a \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.977524316$ 1.128747854 \( \frac{4185248}{63} a - \frac{356176}{21} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 104\) , \( 436 a - 208\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+104{x}+436a-208$
37632.3-a2 37632.3-a \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.977524316$ 1.128747854 \( \frac{5901344}{7203} a + \frac{8165936}{7203} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 5 a - 51\) , \( -35 a - 62\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(5a-51\right){x}-35a-62$
37632.3-a3 37632.3-a \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.955048633$ 1.128747854 \( -\frac{126976}{147} a + \frac{305152}{147} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -5 a + 14\) , \( -10 a - 4\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-5a+14\right){x}-10a-4$
37632.3-a4 37632.3-a \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $0.977524316$ 1.128747854 \( -\frac{34062272}{21} a + \frac{13692688}{21} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -90 a + 199\) , \( -837 a - 141\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-90a+199\right){x}-837a-141$
37632.3-b1 37632.3-b \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.726887722$ 0.839337644 \( \frac{29968}{27} a - \frac{2080}{3} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 22 a + 59\) , \( 239 a - 373\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(22a+59\right){x}+239a-373$
37632.3-b2 37632.3-b \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.453775444$ 0.839337644 \( -\frac{41728}{9} a + \frac{27392}{9} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 17 a - 31\) , \( 66 a - 57\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(17a-31\right){x}+66a-57$
37632.3-c1 37632.3-c \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.490092329$ $4.920481269$ 2.784548948 \( \frac{256}{3} a - \frac{512}{3} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -a + 1\) , \( 1\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(-a+1\right){x}+1$
37632.3-c2 37632.3-c \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.715323153$ $0.351462947$ 2.784548948 \( \frac{547472}{2187} a + \frac{3353488}{2187} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 249 a - 434\) , \( -39 a - 918\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(249a-434\right){x}-39a-918$
37632.3-c3 37632.3-c \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.245046164$ $2.460240634$ 2.784548948 \( -\frac{53296}{3} a + \frac{43216}{3} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 9 a + 6\) , \( -15 a + 18\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(9a+6\right){x}-15a+18$
37632.3-c4 37632.3-c \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $3.430646306$ $0.702925895$ 2.784548948 \( \frac{47028992}{81} a + \frac{1742336}{81} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 159 a - 339\) , \( 1440 a - 2079\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(159a-339\right){x}+1440a-2079$
37632.3-d1 37632.3-d \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $0.804006983$ 0.928387296 \( \frac{97542176}{21} a - \frac{12638992}{7} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -303 a + 18\) , \( -2139 a + 1266\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(-303a+18\right){x}-2139a+1266$
37632.3-d2 37632.3-d \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.804006983$ 0.928387296 \( \frac{14733184}{7203} a - \frac{30152432}{2401} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -93 a + 123\) , \( -165 a - 393\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(-93a+123\right){x}-165a-393$
37632.3-d3 37632.3-d \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.804006983$ 0.928387296 \( \frac{2145056}{567} a - \frac{583312}{189} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 72 a - 92\) , \( -360 a + 360\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(72a-92\right){x}-360a+360$
37632.3-d4 37632.3-d \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.402003491$ 0.928387296 \( \frac{16918844552}{17294403} a - \frac{23262546340}{17294403} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 127 a + 163\) , \( 1591 a - 2693\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(127a+163\right){x}+1591a-2693$
37632.3-d5 37632.3-d \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.608013966$ 0.928387296 \( -\frac{647168}{441} a - \frac{47104}{441} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -18 a + 3\) , \( -36 a + 18\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(-18a+3\right){x}-36a+18$
37632.3-d6 37632.3-d \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.402003491$ 0.928387296 \( -\frac{7384301576}{147} a + \frac{25339394260}{147} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -1513 a + 2003\) , \( -11377 a - 22477\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(-1513a+2003\right){x}-11377a-22477$
37632.3-e1 37632.3-e \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.374032019$ 1.586595513 \( \frac{73696}{3} a - \frac{624368}{3} \) \( \bigl[0\) , \( a\) , \( 0\) , \( -13 a + 70\) , \( -205 a + 63\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(-13a+70\right){x}-205a+63$
37632.3-e2 37632.3-e \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.374032019$ 1.586595513 \( -\frac{73696}{3} a - \frac{550672}{3} \) \( \bigl[0\) , \( a\) , \( 0\) , \( -68 a + 60\) , \( -40 a + 240\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(-68a+60\right){x}-40a+240$
37632.3-e3 37632.3-e \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.343508004$ 1.586595513 \( \frac{207646}{6561} \) \( \bigl[0\) , \( a\) , \( 0\) , \( -78 a + 125\) , \( 3161 a - 3294\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(-78a+125\right){x}+3161a-3294$
37632.3-e4 37632.3-e \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.748064039$ 1.586595513 \( \frac{2048}{3} \) \( \bigl[0\) , \( a\) , \( 0\) , \( -3 a + 5\) , \( -4 a + 6\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(-3a+5\right){x}-4a+6$
37632.3-e5 37632.3-e \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.374032019$ 1.586595513 \( \frac{35152}{9} \) \( \bigl[0\) , \( a\) , \( 0\) , \( 22 a - 35\) , \( -51 a + 42\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(22a-35\right){x}-51a+42$
37632.3-e6 37632.3-e \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.687016009$ 1.586595513 \( \frac{1556068}{81} \) \( \bigl[0\) , \( a\) , \( 0\) , \( 122 a - 195\) , \( 769 a - 878\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(122a-195\right){x}+769a-878$
37632.3-e7 37632.3-e \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.687016009$ 1.586595513 \( \frac{28756228}{3} \) \( \bigl[0\) , \( a\) , \( 0\) , \( 322 a - 515\) , \( -3639 a + 3666\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(322a-515\right){x}-3639a+3666$
37632.3-e8 37632.3-e \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.343508004$ 1.586595513 \( \frac{3065617154}{9} \) \( \bigl[0\) , \( a\) , \( 0\) , \( 1922 a - 3075\) , \( 51817 a - 55742\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(1922a-3075\right){x}+51817a-55742$
37632.3-f1 37632.3-f \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.586352900$ 1.354124020 \( \frac{325140500}{21} a - \frac{527434000}{21} \) \( \bigl[0\) , \( a\) , \( 0\) , \( -788 a + 428\) , \( -5300 a + 8068\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(-788a+428\right){x}-5300a+8068$
37632.3-f2 37632.3-f \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.293176450$ 1.354124020 \( \frac{27056768750}{17294403} a - \frac{88919428250}{5764801} \) \( \bigl[0\) , \( a\) , \( 0\) , \( 1012 a - 492\) , \( 8620 a + 3044\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(1012a-492\right){x}+8620a+3044$
37632.3-f3 37632.3-f \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.345411602$ 1.354124020 \( \frac{160000}{21} a - \frac{128000}{21} \) \( \bigl[0\) , \( a\) , \( 0\) , \( -8 a + 13\) , \( -10 a - 4\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(-8a+13\right){x}-10a-4$
37632.3-f4 37632.3-f \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.586352900$ 1.354124020 \( \frac{22841500}{21609} a - \frac{23932000}{21609} \) \( \bigl[0\) , \( a\) , \( 0\) , \( 52 a - 132\) , \( -260 a + 788\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(52a-132\right){x}-260a+788$
37632.3-f5 37632.3-f \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.172705801$ 1.354124020 \( -\frac{746000}{147} a + \frac{86000}{49} \) \( \bigl[0\) , \( a\) , \( 0\) , \( -48 a + 28\) , \( -100 a + 140\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(-48a+28\right){x}-100a+140$
37632.3-f6 37632.3-f \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.293176450$ 1.354124020 \( -\frac{11086896250}{3969} a + \frac{2557180750}{1323} \) \( \bigl[0\) , \( a\) , \( 0\) , \( 692 a - 2332\) , \( -18420 a + 41604\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(692a-2332\right){x}-18420a+41604$
37632.3-g1 37632.3-g \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.336695122$ $1.923164144$ 2.990766714 \( \frac{29968}{27} a - \frac{2080}{3} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -11 a + 10\) , \( -3 a - 18\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(-11a+10\right){x}-3a-18$
37632.3-g2 37632.3-g \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.673390245$ $3.846328289$ 2.990766714 \( -\frac{41728}{9} a + \frac{27392}{9} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 4 a\) , \( -a - 3\bigr] \) ${y}^2={x}^{3}-{x}^{2}+4a{x}-a-3$
37632.3-h1 37632.3-h \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $0.620384486$ 1.432716600 \( -\frac{8372116}{21} a - \frac{34587500}{63} \) \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 29 a + 381\) , \( -3369 a + 1902\bigr] \) ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(29a+381\right){x}-3369a+1902$
37632.3-h2 37632.3-h \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.620384486$ 1.432716600 \( \frac{461854796}{7203} a - \frac{527858260}{7203} \) \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 229 a + 61\) , \( 575 a - 1978\bigr] \) ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(229a+61\right){x}+575a-1978$
37632.3-h3 37632.3-h \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.240768972$ 1.432716600 \( -\frac{37648}{49} a + \frac{197696}{147} \) \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 9 a + 21\) , \( -45 a - 6\bigr] \) ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(9a+21\right){x}-45a-6$
37632.3-h4 37632.3-h \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.481537945$ 1.432716600 \( \frac{32512}{21} a + \frac{30976}{21} \) \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -6 a - 4\) , \( -9 a + 5\bigr] \) ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-6a-4\right){x}-9a+5$
37632.3-i1 37632.3-i \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.790108614$ $1.859767109$ 3.844211855 \( \frac{256}{3} a - \frac{512}{3} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( 6 a - 6\) , \( 25 a - 20\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(6a-6\right){x}+25a-20$
37632.3-i2 37632.3-i \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.127864901$ $0.929883554$ 3.844211855 \( \frac{547472}{2187} a + \frac{3353488}{2187} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -52 a + 56\) , \( 36 a + 24\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(-52a+56\right){x}+36a+24$
37632.3-i3 37632.3-i \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.895054307$ $0.929883554$ 3.844211855 \( -\frac{53296}{3} a + \frac{43216}{3} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -89 a - 1\) , \( 341 a - 163\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(-89a-1\right){x}+341a-163$
37632.3-i4 37632.3-i \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.255729802$ $1.859767109$ 3.844211855 \( \frac{47028992}{81} a + \frac{1742336}{81} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -37 a + 46\) , \( 20 a + 100\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(-37a+46\right){x}+20a+100$
37632.3-j1 37632.3-j \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.118949973$ $0.804006983$ 3.934412475 \( \frac{97542176}{21} a - \frac{12638992}{7} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( 18 a + 285\) , \( 2139 a - 1266\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(18a+285\right){x}+2139a-1266$
37632.3-j2 37632.3-j \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $2.118949973$ $0.804006983$ 3.934412475 \( \frac{14733184}{7203} a - \frac{30152432}{2401} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( 123 a - 30\) , \( 165 a + 393\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(123a-30\right){x}+165a+393$
37632.3-j3 37632.3-j \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $0.529737493$ $0.804006983$ 3.934412475 \( \frac{2145056}{567} a - \frac{583312}{189} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( -92 a + 20\) , \( 360 a - 360\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(-92a+20\right){x}+360a-360$
37632.3-j4 37632.3-j \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.059474986$ $0.402003491$ 3.934412475 \( \frac{16918844552}{17294403} a - \frac{23262546340}{17294403} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( 163 a - 290\) , \( -1591 a + 2693\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(163a-290\right){x}-1591a+2693$
37632.3-j5 37632.3-j \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1.059474986$ $1.608013966$ 3.934412475 \( -\frac{647168}{441} a - \frac{47104}{441} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( 3 a + 15\) , \( 36 a - 18\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(3a+15\right){x}+36a-18$
37632.3-j6 37632.3-j \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $4.237899947$ $0.402003491$ 3.934412475 \( -\frac{7384301576}{147} a + \frac{25339394260}{147} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( 2003 a - 490\) , \( 11377 a + 22477\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(2003a-490\right){x}+11377a+22477$
37632.3-k1 37632.3-k \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.572326543$ $1.374032019$ 4.081241752 \( \frac{73696}{3} a - \frac{624368}{3} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( -13 a + 70\) , \( 205 a - 63\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(-13a+70\right){x}+205a-63$
37632.3-k2 37632.3-k \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.643081635$ $1.374032019$ 4.081241752 \( -\frac{73696}{3} a - \frac{550672}{3} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( -68 a + 60\) , \( 40 a - 240\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(-68a+60\right){x}+40a-240$
37632.3-k3 37632.3-k \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.160770408$ $0.343508004$ 4.081241752 \( \frac{207646}{6561} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( -78 a + 125\) , \( -3161 a + 3294\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(-78a+125\right){x}-3161a+3294$
37632.3-k4 37632.3-k \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1.286163271$ $2.748064039$ 4.081241752 \( \frac{2048}{3} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( -3 a + 5\) , \( 4 a - 6\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(-3a+5\right){x}+4a-6$
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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.