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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
75.1-a1 75.1-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.558925428$ 0.322695746 \( -\frac{147281603041}{215233605} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -110\) , \( -880\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-110{x}-880$
75.1-a8 75.1-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.558925428$ 0.322695746 \( \frac{1114544804970241}{405} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -2160\) , \( -39540\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-2160{x}-39540$
147.2-a1 147.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.431038464$ 0.497720347 \( -\frac{1866593950165482334}{99698791708803} a + \frac{793626053533786727}{99698791708803} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -470 a + 321\) , \( 1866 a - 3772\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(-470a+321\right){x}+1866a-3772$
147.2-a2 147.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.431038464$ 0.497720347 \( \frac{1866593950165482334}{99698791708803} a - \frac{1072967896631695607}{99698791708803} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( 470 a - 149\) , \( -1866 a - 1906\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(470a-149\right){x}-1866a-1906$
192.1-a3 192.1-a \(\Q(\sqrt{-3}) \) \( 2^{6} \cdot 3 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.908836754$ 0.524717144 \( \frac{207646}{6561} \) \( \bigl[0\) , \( a\) , \( 0\) , \( 16 a - 16\) , \( -180\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(16a-16\right){x}-180$
192.1-a8 192.1-a \(\Q(\sqrt{-3}) \) \( 2^{6} \cdot 3 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.908836754$ 0.524717144 \( \frac{3065617154}{9} \) \( \bigl[0\) , \( a\) , \( 0\) , \( -384 a + 384\) , \( -2772\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(-384a+384\right){x}-2772$
228.1-a1 228.1-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.548223191$ 0.633033614 \( -\frac{612993539767699445}{588582360748896} a + \frac{16582918214994847}{73572795093612} \) \( \bigl[1\) , \( a + 1\) , \( 0\) , \( 142 a - 105\) , \( 756 a + 161\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(142a-105\right){x}+756a+161$
228.1-a3 228.1-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.096446383$ 0.633033614 \( \frac{38854777864121}{7606576128} a - \frac{17432772730153}{7606576128} \) \( \bigl[1\) , \( a + 1\) , \( 0\) , \( -18 a + 55\) , \( 148 a + 1\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-18a+55\right){x}+148a+1$
228.2-a1 228.2-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.548223191$ 0.633033614 \( \frac{612993539767699445}{588582360748896} a - \frac{160110064682580223}{196194120249632} \) \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -140 a + 35\) , \( -615 a + 881\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-140a+35\right){x}-615a+881$
228.2-a3 228.2-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.096446383$ 0.633033614 \( -\frac{38854777864121}{7606576128} a + \frac{1338875320873}{475411008} \) \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 20 a + 35\) , \( -167 a + 113\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(20a+35\right){x}-167a+113$
241.1-a1 241.1-a \(\Q(\sqrt{-3}) \) \( 241 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.204799027$ 0.636470655 \( -\frac{1030333071375}{241} a + \frac{124584645375}{241} \) \( \bigl[1\) , \( a\) , \( a\) , \( -80 a + 85\) , \( -33 a - 241\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-80a+85\right){x}-33a-241$
241.2-a1 241.2-a \(\Q(\sqrt{-3}) \) \( 241 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.204799027$ 0.636470655 \( \frac{1030333071375}{241} a - \frac{905748426000}{241} \) \( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( 79 a + 5\) , \( 32 a - 274\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(79a+5\right){x}+32a-274$
273.1-a6 273.1-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 7 \cdot 13 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.537289970$ 0.620409017 \( -\frac{12221157721811331281}{3888252876643317} a + \frac{9513879748815593356}{1296084292214439} \) \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -172 a + 250\) , \( -559 a - 702\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-172a+250\right){x}-559a-702$
273.1-a8 273.1-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 7 \cdot 13 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.537289970$ 0.620409017 \( \frac{16502205085237769}{204788493} a - \frac{54431432607484}{68262831} \) \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -542 a + 1090\) , \( 8949 a + 3564\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-542a+1090\right){x}+8949a+3564$
273.4-a6 273.4-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 7 \cdot 13 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.537289970$ 0.620409017 \( \frac{12221157721811331281}{3888252876643317} a + \frac{16320481524635448787}{3888252876643317} \) \( \bigl[a\) , \( 1\) , \( a\) , \( 170 a + 80\) , \( 558 a - 1260\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(170a+80\right){x}+558a-1260$
273.4-a8 273.4-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 7 \cdot 13 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.537289970$ 0.620409017 \( -\frac{16502205085237769}{204788493} a + \frac{16338910787415317}{204788493} \) \( \bigl[a\) , \( 1\) , \( a\) , \( 540 a + 550\) , \( -8950 a + 12514\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(540a+550\right){x}-8950a+12514$
289.1-a4 289.1-a \(\Q(\sqrt{-3}) \) \( 17^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.123938699$ 0.613128289 \( \frac{82483294977}{17} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( -91\) , \( -310\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-91{x}-310$
343.2-a1 343.2-a \(\Q(\sqrt{-3}) \) \( 7^{3} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.640604886$ 0.739706807 \( -\frac{2097781165791}{13841287201} a + \frac{1802695628925}{13841287201} \) \( \bigl[1\) , \( a\) , \( a\) , \( 6 a + 48\) , \( 416 a + 152\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(6a+48\right){x}+416a+152$
343.2-a2 343.2-a \(\Q(\sqrt{-3}) \) \( 7^{3} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.640604886$ 0.739706807 \( \frac{2097781165791}{13841287201} a - \frac{295085536866}{13841287201} \) \( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( -44 a + 56\) , \( -540 a + 143\bigr] \) ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-44a+56\right){x}-540a+143$
343.2-a7 343.2-a \(\Q(\sqrt{-3}) \) \( 7^{3} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.640604886$ 0.739706807 \( -\frac{308817493407}{2401} a + \frac{246921503922}{2401} \) \( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( 786 a - 524\) , \( -6694 a - 433\bigr] \) ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(786a-524\right){x}-6694a-433$
343.2-a8 343.2-a \(\Q(\sqrt{-3}) \) \( 7^{3} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.640604886$ 0.739706807 \( \frac{308817493407}{2401} a - \frac{61895989485}{2401} \) \( \bigl[1\) , \( a\) , \( a\) , \( -464 a - 332\) , \( 6180 a + 1082\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-464a-332\right){x}+6180a+1082$
343.3-a1 343.3-a \(\Q(\sqrt{-3}) \) \( 7^{3} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.640604886$ 0.739706807 \( -\frac{2097781165791}{13841287201} a + \frac{1802695628925}{13841287201} \) \( \bigl[a + 1\) , \( -a - 1\) , \( a\) , \( -57 a + 46\) , \( 551 a - 453\bigr] \) ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-57a+46\right){x}+551a-453$
343.3-a2 343.3-a \(\Q(\sqrt{-3}) \) \( 7^{3} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.640604886$ 0.739706807 \( \frac{2097781165791}{13841287201} a - \frac{295085536866}{13841287201} \) \( \bigl[a\) , \( a\) , \( a + 1\) , \( -49 a - 6\) , \( -417 a + 568\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-49a-6\right){x}-417a+568$
343.3-a7 343.3-a \(\Q(\sqrt{-3}) \) \( 7^{3} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.640604886$ 0.739706807 \( -\frac{308817493407}{2401} a + \frac{246921503922}{2401} \) \( \bigl[a\) , \( a\) , \( a + 1\) , \( 331 a + 464\) , \( -6181 a + 7262\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(331a+464\right){x}-6181a+7262$
343.3-a8 343.3-a \(\Q(\sqrt{-3}) \) \( 7^{3} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.640604886$ 0.739706807 \( \frac{308817493407}{2401} a - \frac{61895989485}{2401} \) \( \bigl[a + 1\) , \( -a - 1\) , \( a\) , \( 523 a - 784\) , \( 6955 a - 6603\bigr] \) ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(523a-784\right){x}+6955a-6603$
363.1-a1 363.1-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 11^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.025585977$ 0.592122339 \( \frac{9090072503}{5845851} \) \( \bigl[1\) , \( 1\) , \( 0\) , \( 44\) , \( 55\bigr] \) ${y}^2+{x}{y}={x}^{3}+{x}^{2}+44{x}+55$
399.2-a1 399.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 7 \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.621401725$ 0.717532907 \( -\frac{1389689543960222201}{3209893414749} a - \frac{1078699815736689589}{3209893414749} \) \( \bigl[1\) , \( -a\) , \( a + 1\) , \( -153 a - 284\) , \( 1812 a + 1581\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-153a-284\right){x}+1812a+1581$
399.2-a2 399.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 7 \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.621401725$ 0.717532907 \( \frac{111301988183011}{1342951407} a - \frac{118687708907161}{1342951407} \) \( \bigl[1\) , \( -a\) , \( a + 1\) , \( -283 a + 16\) , \( -1962 a + 1075\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-283a+16\right){x}-1962a+1075$
399.3-a1 399.3-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 7 \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.621401725$ 0.717532907 \( \frac{1389689543960222201}{3209893414749} a - \frac{822796453232303930}{1069964471583} \) \( \bigl[1\) , \( a - 1\) , \( a\) , \( 152 a - 436\) , \( -1813 a + 3394\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(152a-436\right){x}-1813a+3394$
399.3-a2 399.3-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 7 \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.621401725$ 0.717532907 \( -\frac{111301988183011}{1342951407} a - \frac{2461906908050}{447650469} \) \( \bigl[1\) , \( a - 1\) , \( a\) , \( 282 a - 266\) , \( 1961 a - 886\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(282a-266\right){x}+1961a-886$
475.1-a3 475.1-a \(\Q(\sqrt{-3}) \) \( 5^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.449930551$ 0.837117794 \( \frac{147104989379271}{84917815205} a - \frac{100481829971616}{84917815205} \) \( \bigl[1\) , \( a\) , \( a + 1\) , \( -18 a + 22\) , \( 33 a + 28\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-18a+22\right){x}+33a+28$
475.2-a3 475.2-a \(\Q(\sqrt{-3}) \) \( 5^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.449930551$ 0.837117794 \( -\frac{147104989379271}{84917815205} a + \frac{9324631881531}{16983563041} \) \( \bigl[1\) , \( -a + 1\) , \( a\) , \( 17 a + 5\) , \( -34 a + 62\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(17a+5\right){x}-34a+62$
481.2-a1 481.2-a \(\Q(\sqrt{-3}) \) \( 13 \cdot 37 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.118200834$ $8.331786658$ 0.568588478 \( -\frac{42208}{481} a - \frac{24959}{481} \) \( \bigl[1\) , \( -a - 1\) , \( a\) , \( 0\) , \( 0\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}$
481.2-a2 481.2-a \(\Q(\sqrt{-3}) \) \( 13 \cdot 37 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.059100417$ $4.165893329$ 0.568588478 \( -\frac{7617412112}{231361} a + \frac{4002184503}{231361} \) \( \bigl[1\) , \( -a - 1\) , \( a\) , \( 5\) , \( 3 a - 3\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+5{x}+3a-3$
481.3-a1 481.3-a \(\Q(\sqrt{-3}) \) \( 13 \cdot 37 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.118200834$ $8.331786658$ 0.568588478 \( \frac{42208}{481} a - \frac{67167}{481} \) \( \bigl[1\) , \( a + 1\) , \( a\) , \( a\) , \( 0\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+a{x}$
481.3-a2 481.3-a \(\Q(\sqrt{-3}) \) \( 13 \cdot 37 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.059100417$ $4.165893329$ 0.568588478 \( \frac{7617412112}{231361} a - \frac{3615227609}{231361} \) \( \bigl[1\) , \( a + 1\) , \( a\) , \( a + 5\) , \( -3 a + 5\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a+5\right){x}-3a+5$
507.2-a4 507.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 13^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.282583906$ $1.890295042$ 0.616802873 \( \frac{37159393753}{1053} \) \( \bigl[1\) , \( 1\) , \( 0\) , \( -69\) , \( -252\bigr] \) ${y}^2+{x}{y}={x}^{3}+{x}^{2}-69{x}-252$
579.1-a1 579.1-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 193 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.075774335$ $7.505847337$ 0.656736620 \( -\frac{12224}{579} a - \frac{9867}{193} \) \( \bigl[1\) , \( -a\) , \( a + 1\) , \( -1\) , \( -a\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}-{x}-a$
579.1-a2 579.1-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 193 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.151548671$ $3.752923668$ 0.656736620 \( \frac{4604240642}{111747} a + \frac{23890776935}{111747} \) \( \bigl[1\) , \( -a\) , \( a + 1\) , \( 10 a - 6\) , \( -10 a\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(10a-6\right){x}-10a$
579.1-b4 579.1-b \(\Q(\sqrt{-3}) \) \( 3 \cdot 193 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.389035352$ 0.801959934 \( \frac{545139180439}{1266273} a + \frac{76917924848}{1266273} \) \( \bigl[1\) , \( -a\) , \( a\) , \( 37 a + 46\) , \( 186 a - 241\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(37a+46\right){x}+186a-241$
579.2-a1 579.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 193 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.075774335$ $7.505847337$ 0.656736620 \( \frac{12224}{579} a - \frac{41825}{579} \) \( \bigl[1\) , \( a - 1\) , \( a\) , \( -a\) , \( 0\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}-a{x}$
579.2-a2 579.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 193 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.151548671$ $3.752923668$ 0.656736620 \( -\frac{4604240642}{111747} a + \frac{28495017577}{111747} \) \( \bigl[1\) , \( a - 1\) , \( a\) , \( -11 a + 5\) , \( 9 a - 9\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-11a+5\right){x}+9a-9$
579.2-b4 579.2-b \(\Q(\sqrt{-3}) \) \( 3 \cdot 193 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.389035352$ 0.801959934 \( -\frac{545139180439}{1266273} a + \frac{69117456143}{140697} \) \( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( -38 a + 83\) , \( -187 a - 55\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-38a+83\right){x}-187a-55$
588.2-a2 588.2-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.342545916$ 0.791075908 \( \frac{6359387729183}{4218578658} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( 386\) , \( 1277\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+386{x}+1277$
588.2-a4 588.2-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.342545916$ 0.791075908 \( \frac{84448510979617}{933897762} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -914\) , \( -10915\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-914{x}-10915$
603.1-a1 603.1-a \(\Q(\sqrt{-3}) \) \( 3^{2} \cdot 67 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.791616523$ 0.914080025 \( \frac{64247275757}{3956283} a - \frac{6008441195}{439587} \) \( \bigl[1\) , \( a\) , \( a + 1\) , \( 112 a + 16\) , \( -27 a + 525\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(112a+16\right){x}-27a+525$
603.1-a4 603.1-a \(\Q(\sqrt{-3}) \) \( 3^{2} \cdot 67 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.791616523$ 0.914080025 \( -\frac{107397602362141}{544080267} a + \frac{514170304798595}{544080267} \) \( \bigl[1\) , \( a\) , \( a + 1\) , \( 142 a - 284\) , \( -1245 a + 1575\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(142a-284\right){x}-1245a+1575$
603.2-a1 603.2-a \(\Q(\sqrt{-3}) \) \( 3^{2} \cdot 67 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.791616523$ 0.914080025 \( -\frac{64247275757}{3956283} a + \frac{10171305002}{3956283} \) \( \bigl[1\) , \( -a + 1\) , \( a\) , \( -113 a + 129\) , \( 26 a + 499\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-113a+129\right){x}+26a+499$
603.2-a4 603.2-a \(\Q(\sqrt{-3}) \) \( 3^{2} \cdot 67 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.791616523$ 0.914080025 \( \frac{107397602362141}{544080267} a + \frac{406772702436454}{544080267} \) \( \bigl[1\) , \( -a + 1\) , \( a\) , \( -143 a - 141\) , \( 1244 a + 331\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-143a-141\right){x}+1244a+331$
651.2-a2 651.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 7 \cdot 31 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.901914198$ 1.041440810 \( \frac{356651947635794317}{16619921283} a - \frac{302247373300273970}{16619921283} \) \( \bigl[1\) , \( -a - 1\) , \( a\) , \( -314 a + 70\) , \( 2197 a - 1728\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-314a+70\right){x}+2197a-1728$
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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.