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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
43776.2-a1 43776.2-a \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $2$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.523408160$ $0.562939243$ 3.961021158 \( \frac{15022522382}{57} a - \frac{11481175312}{57} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -126 a + 1023\) , \( 13401 a - 4221\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-126a+1023\right){x}+13401a-4221$
43776.2-a2 43776.2-a \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $0.380852040$ $1.125878486$ 3.961021158 \( -\frac{5171068}{361} a - \frac{1400812}{1083} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -6 a + 63\) , \( 225 a - 45\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-6a+63\right){x}+225a-45$
43776.2-a3 43776.2-a \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $2$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.095213010$ $0.562939243$ 3.961021158 \( \frac{1018942694}{390963} a - \frac{1263770528}{1172889} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 114 a + 63\) , \( -87 a + 867\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(114a+63\right){x}-87a+867$
43776.2-a4 43776.2-a \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $2$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.095213010$ $2.251756972$ 3.961021158 \( -\frac{11984}{57} a - \frac{19136}{57} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -6 a + 3\) , \( 9 a - 9\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-6a+3\right){x}+9a-9$
43776.2-b1 43776.2-b \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $0.825329878$ 0.953008855 \( -\frac{4891705216}{171} a - \frac{1468641040}{171} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -383 a + 337\) , \( -659 a + 3120\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-383a+337\right){x}-659a+3120$
43776.2-b2 43776.2-b \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.825329878$ 0.953008855 \( \frac{9684739168}{1172889} a - \frac{650759600}{1172889} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -68 a + 112\) , \( -272 a - 84\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-68a+112\right){x}-272a-84$
43776.2-b3 43776.2-b \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.825329878$ 0.953008855 \( \frac{7945312}{13851} a - \frac{3622384}{13851} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 22 a - 53\) , \( 13 a + 195\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(22a-53\right){x}+13a+195$
43776.2-b4 43776.2-b \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.650659756$ 0.953008855 \( -\frac{59531264}{9747} a + \frac{19945472}{3249} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -23 a + 22\) , \( -20 a + 60\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-23a+22\right){x}-20a+60$
43776.2-c1 43776.2-c \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.843042849$ $3.182527911$ 3.098070086 \( -\frac{352256}{57} a - \frac{481280}{57} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -5 a - 2\) , \( -4 a\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-5a-2\right){x}-4a$
43776.2-c2 43776.2-c \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $0.843042849$ $0.795631977$ 3.098070086 \( \frac{2555399912}{390963} a - \frac{2050454740}{390963} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 70 a + 43\) , \( -265 a + 465\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(70a+43\right){x}-265a+465$
43776.2-c3 43776.2-c \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $0.421521424$ $1.591263955$ 3.098070086 \( -\frac{680576}{1083} a - \frac{144112}{361} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 10 a - 17\) , \( -37 a + 45\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(10a-17\right){x}-37a+45$
43776.2-c4 43776.2-c \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.843042849$ $0.795631977$ 3.098070086 \( \frac{313163992}{171} a + \frac{91340516}{171} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 190 a - 317\) , \( -1681 a + 2025\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(190a-317\right){x}-1681a+2025$
43776.2-d1 43776.2-d \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.073530510$ $0.587411505$ 2.912635915 \( \frac{363527109}{361} a - \frac{76135923}{361} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 264 a - 519\) , \( 3036 a - 4074\bigr] \) ${y}^2={x}^{3}+\left(264a-519\right){x}+3036a-4074$
43776.2-d2 43776.2-d \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.357843503$ $0.587411505$ 2.912635915 \( \frac{36038181633}{47045881} a - \frac{75585143946}{47045881} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -103 a - 31\) , \( -951 a + 312\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-103a-31\right){x}-951a+312$
43776.2-d3 43776.2-d \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.178921751$ $1.174823011$ 2.912635915 \( -\frac{29840721}{6859} a - \frac{5426511}{6859} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -23 a + 49\) , \( -87 a - 24\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-23a+49\right){x}-87a-24$
43776.2-d4 43776.2-d \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.536765255$ $1.174823011$ 2.912635915 \( \frac{9153}{19} a + \frac{27648}{19} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 24 a - 39\) , \( 12 a - 42\bigr] \) ${y}^2={x}^{3}+\left(24a-39\right){x}+12a-42$
43776.2-e1 43776.2-e \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.797611447$ $1.909339521$ 3.517012440 \( -\frac{384}{19} a + \frac{48}{19} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -3 a + 3\) , \( -12 a + 22\bigr] \) ${y}^2={x}^{3}+\left(-3a+3\right){x}-12a+22$
43776.2-e2 43776.2-e \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.398805723$ $0.954669760$ 3.517012440 \( -\frac{14912328}{361} a + \frac{17623572}{361} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 57 a + 63\) , \( -348 a + 442\bigr] \) ${y}^2={x}^{3}+\left(57a+63\right){x}-348a+442$
43776.2-f1 43776.2-f \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.079129201$ 1.827410639 \( \frac{612993539767699445}{588582360748896} a - \frac{160110064682580223}{196194120249632} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 6761 a - 1711\) , \( -232201 a - 80360\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(6761a-1711\right){x}-232201a-80360$
43776.2-f2 43776.2-f \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.791292018$ 1.827410639 \( -\frac{212831}{2052} a + \frac{418543}{2052} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 41 a - 31\) , \( -25 a + 280\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(41a-31\right){x}-25a+280$
43776.2-f3 43776.2-f \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.158258403$ 1.827410639 \( -\frac{38854777864121}{7606576128} a + \frac{1338875320873}{475411008} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -919 a - 1711\) , \( -15625 a - 32744\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-919a-1711\right){x}-15625a-32744$
43776.2-f4 43776.2-f \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.395646009$ 1.827410639 \( \frac{537398275}{175446} a + \frac{667275508}{87723} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -439 a + 449\) , \( 359 a + 2872\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-439a+449\right){x}+359a+2872$
43776.2-g1 43776.2-g \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.214564090$ $1.781494035$ 3.531024801 \( \frac{38332}{57} a + \frac{54688}{57} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -6 a - 9\) , \( 9 a - 9\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-6a-9\right){x}+9a-9$
43776.2-g2 43776.2-g \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.429128181$ $0.890747017$ 3.531024801 \( -\frac{33713218}{361} a + \frac{36747638}{1083} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -6 a - 129\) , \( -87 a - 609\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-6a-129\right){x}-87a-609$
43776.2-h1 43776.2-h \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.892405054$ 1.669930836 \( \frac{49152}{19} a - \frac{6144}{19} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 6 a - 6\) , \( 6 a - 5\bigr] \) ${y}^2={x}^{3}+\left(6a-6\right){x}+6a-5$
43776.2-h2 43776.2-h \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.446202527$ 1.669930836 \( -\frac{593184}{361} a + \frac{468816}{361} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -24 a + 9\) , \( 48 a - 26\bigr] \) ${y}^2={x}^{3}+\left(-24a+9\right){x}+48a-26$
43776.2-i1 43776.2-i \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.796707316$ $1.017426572$ 3.743960357 \( \frac{363527109}{361} a - \frac{76135923}{361} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -88 a + 173\) , \( -568 a - 222\bigr] \) ${y}^2={x}^{3}+\left(-88a+173\right){x}-568a-222$
43776.2-i2 43776.2-i \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.390121950$ $0.339142190$ 3.743960357 \( \frac{36038181633}{47045881} a - \frac{75585143946}{47045881} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 312 a + 93\) , \( 888 a - 4366\bigr] \) ${y}^2={x}^{3}+\left(312a+93\right){x}+888a-4366$
43776.2-i3 43776.2-i \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.195060975$ $0.678284381$ 3.743960357 \( -\frac{29840721}{6859} a - \frac{5426511}{6859} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 72 a - 147\) , \( 552 a - 670\bigr] \) ${y}^2={x}^{3}+\left(72a-147\right){x}+552a-670$
43776.2-i4 43776.2-i \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.398353658$ $2.034853145$ 3.743960357 \( \frac{9153}{19} a + \frac{27648}{19} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -8 a + 13\) , \( -8 a + 2\bigr] \) ${y}^2={x}^{3}+\left(-8a+13\right){x}-8a+2$
43776.2-j1 43776.2-j \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $0.445694445$ 2.058574465 \( -\frac{153112323818}{1172889} a - \frac{259447616906}{1172889} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 401 a - 763\) , \( -5593 a + 7612\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(401a-763\right){x}-5593a+7612$
43776.2-j2 43776.2-j \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.445694445$ 2.058574465 \( \frac{146505950}{13851} a - \frac{520715974}{4617} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 641 a - 283\) , \( 3383 a + 2380\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(641a-283\right){x}+3383a+2380$
43776.2-j3 43776.2-j \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.891388891$ 2.058574465 \( \frac{2558180}{9747} a + \frac{3715552}{9747} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 41 a - 43\) , \( -49 a + 196\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(41a-43\right){x}-49a+196$
43776.2-j4 43776.2-j \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.782777782$ 2.058574465 \( -\frac{271888}{171} a + \frac{887504}{171} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -19 a + 17\) , \( -a + 16\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-19a+17\right){x}-a+16$
43776.2-k1 43776.2-k \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.959303252$ $2.892405054$ 3.203940165 \( \frac{49152}{19} a - \frac{6144}{19} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 6\) , \( -6 a + 5\bigr] \) ${y}^2={x}^{3}+6{x}-6a+5$
43776.2-k2 43776.2-k \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.479651626$ $1.446202527$ 3.203940165 \( -\frac{593184}{361} a + \frac{468816}{361} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 15 a - 24\) , \( -48 a + 26\bigr] \) ${y}^2={x}^{3}+\left(15a-24\right){x}-48a+26$
43776.2-l1 43776.2-l \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $4.965154356$ $0.079129201$ 3.629350358 \( \frac{612993539767699445}{588582360748896} a - \frac{160110064682580223}{196194120249632} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -1710 a - 5049\) , \( 225441 a + 82071\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-1710a-5049\right){x}+225441a+82071$
43776.2-l2 43776.2-l \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.496515435$ $0.791292018$ 3.629350358 \( -\frac{212831}{2052} a + \frac{418543}{2052} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -30 a - 9\) , \( -15 a - 249\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-30a-9\right){x}-15a-249$
43776.2-l3 43776.2-l \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.482577178$ $0.158258403$ 3.629350358 \( -\frac{38854777864121}{7606576128} a + \frac{1338875320873}{475411008} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -1710 a + 2631\) , \( 16545 a + 34455\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-1710a+2631\right){x}+16545a+34455$
43776.2-l4 43776.2-l \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.993030871$ $0.395646009$ 3.629350358 \( \frac{537398275}{175446} a + \frac{667275508}{87723} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 450 a - 9\) , \( 81 a - 3321\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(450a-9\right){x}+81a-3321$
43776.2-m1 43776.2-m \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.433624710$ $1.781494035$ 3.568023906 \( \frac{38332}{57} a + \frac{54688}{57} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -6 a - 9\) , \( -9 a + 9\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-6a-9\right){x}-9a+9$
43776.2-m2 43776.2-m \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.216812355$ $0.890747017$ 3.568023906 \( -\frac{33713218}{361} a + \frac{36747638}{1083} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -6 a - 129\) , \( 87 a + 609\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-6a-129\right){x}+87a+609$
43776.2-n1 43776.2-n \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.559785766$ $0.725624560$ 3.752262220 \( \frac{22750096}{9747} a - \frac{25133578}{3249} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 132 a - 24\) , \( -108 a - 504\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(132a-24\right){x}-108a-504$
43776.2-n2 43776.2-n \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.279892883$ $1.451249120$ 3.752262220 \( \frac{82112}{171} a - \frac{303700}{171} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 12 a - 24\) , \( 36 a - 72\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(12a-24\right){x}+36a-72$
43776.2-o1 43776.2-o \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.241008099$ $3.307073059$ 3.681330318 \( -\frac{384}{19} a + \frac{48}{19} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( a + 1\) , \( -3 a\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(a+1\right){x}-3a$
43776.2-o2 43776.2-o \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.482016199$ $1.653536529$ 3.681330318 \( -\frac{14912328}{361} a + \frac{17623572}{361} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 41 a - 19\) , \( -39 a - 48\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(41a-19\right){x}-39a-48$
43776.2-p1 43776.2-p \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.909339521$ 2.204715373 \( -\frac{384}{19} a + \frac{48}{19} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -3\) , \( 12 a - 22\bigr] \) ${y}^2={x}^{3}-3{x}+12a-22$
43776.2-p2 43776.2-p \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.954669760$ 2.204715373 \( -\frac{14912328}{361} a + \frac{17623572}{361} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -120 a + 57\) , \( 348 a - 442\bigr] \) ${y}^2={x}^{3}+\left(-120a+57\right){x}+348a-442$
43776.2-q1 43776.2-q \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.587411505$ 2.713137527 \( \frac{363527109}{361} a - \frac{76135923}{361} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 264 a - 519\) , \( -3036 a + 4074\bigr] \) ${y}^2={x}^{3}+\left(264a-519\right){x}-3036a+4074$
43776.2-q2 43776.2-q \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.587411505$ 2.713137527 \( \frac{36038181633}{47045881} a - \frac{75585143946}{47045881} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -103 a - 31\) , \( 951 a - 312\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-103a-31\right){x}+951a-312$
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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.