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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
43776.1-a1 43776.1-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 \( \frac{5171068}{361} a - \frac{16914016}{1083} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 57 a - 63\) , \( -225 a + 180\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(57a-63\right){x}-225a+180$
43776.1-a2 43776.1-a \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $2$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.095213010$ $2.251756972$ 3.961021158 \( \frac{11984}{57} a - \frac{31120}{57} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -3 a - 3\) , \( -9 a\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-3a-3\right){x}-9a$
43776.1-a3 43776.1-a \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $2$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.095213010$ $0.562939243$ 3.961021158 \( -\frac{1018942694}{390963} a + \frac{1793057554}{1172889} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 177 a - 63\) , \( 87 a + 780\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(177a-63\right){x}+87a+780$
43776.1-a4 43776.1-a \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $2$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.523408160$ $0.562939243$ 3.961021158 \( -\frac{15022522382}{57} a + \frac{3541347070}{57} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 897 a - 1023\) , \( -13401 a + 9180\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(897a-1023\right){x}-13401a+9180$
43776.1-b1 43776.1-b \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.178921751$ $1.174823011$ 2.912635915 \( \frac{29840721}{6859} a - \frac{35267232}{6859} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -48 a + 24\) , \( 112 a - 160\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-48a+24\right){x}+112a-160$
43776.1-b2 43776.1-b \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.357843503$ $0.587411505$ 2.912635915 \( -\frac{36038181633}{47045881} a - \frac{39546962313}{47045881} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 32 a + 104\) , \( 816 a - 608\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(32a+104\right){x}+816a-608$
43776.1-b3 43776.1-b \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.536765255$ $1.174823011$ 2.912635915 \( -\frac{9153}{19} a + \frac{36801}{19} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 39 a - 24\) , \( -12 a - 30\bigr] \) ${y}^2={x}^{3}+\left(39a-24\right){x}-12a-30$
43776.1-b4 43776.1-b \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.073530510$ $0.587411505$ 2.912635915 \( -\frac{363527109}{361} a + \frac{287391186}{361} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 519 a - 264\) , \( -3036 a - 1038\bigr] \) ${y}^2={x}^{3}+\left(519a-264\right){x}-3036a-1038$
43776.1-c1 43776.1-c \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.479651626$ $1.446202527$ 3.203940165 \( \frac{593184}{361} a - \frac{124368}{361} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 24 a - 15\) , \( 48 a - 22\bigr] \) ${y}^2={x}^{3}+\left(24a-15\right){x}+48a-22$
43776.1-c2 43776.1-c \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.959303252$ $2.892405054$ 3.203940165 \( -\frac{49152}{19} a + \frac{43008}{19} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -6 a\) , \( 6 a - 1\bigr] \) ${y}^2={x}^{3}-6a{x}+6a-1$
43776.1-d1 43776.1-d \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.216812355$ $0.890747017$ 3.568023906 \( \frac{33713218}{361} a - \frac{64392016}{1083} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 8 a - 136\) , \( -80 a + 560\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(8a-136\right){x}-80a+560$
43776.1-d2 43776.1-d \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.433624710$ $1.781494035$ 3.568023906 \( -\frac{38332}{57} a + \frac{93020}{57} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 8 a - 16\) , \( 16 a - 16\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(8a-16\right){x}+16a-16$
43776.1-e1 43776.1-e \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.559785766$ $0.725624560$ 3.752262220 \( -\frac{22750096}{9747} a - \frac{52650638}{9747} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -130 a + 107\) , \( 239 a - 719\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-130a+107\right){x}+239a-719$
43776.1-e2 43776.1-e \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.279892883$ $1.451249120$ 3.752262220 \( -\frac{82112}{171} a - \frac{221588}{171} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -10 a - 13\) , \( -25 a - 23\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-10a-13\right){x}-25a-23$
43776.1-f1 43776.1-f \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.482577178$ $0.158258403$ 3.629350358 \( \frac{38854777864121}{7606576128} a - \frac{17432772730153}{7606576128} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 1712 a + 920\) , \( -18256 a + 50080\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(1712a+920\right){x}-18256a+50080$
43776.1-f2 43776.1-f \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.496515435$ $0.791292018$ 3.629350358 \( \frac{212831}{2052} a + \frac{51428}{513} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 32 a - 40\) , \( -16 a - 224\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(32a-40\right){x}-16a-224$
43776.1-f3 43776.1-f \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $4.965154356$ $0.079129201$ 3.629350358 \( -\frac{612993539767699445}{588582360748896} a + \frac{16582918214994847}{73572795093612} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 1712 a - 6760\) , \( -227152 a + 314272\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(1712a-6760\right){x}-227152a+314272$
43776.1-f4 43776.1-f \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.993030871$ $0.395646009$ 3.629350358 \( -\frac{537398275}{175446} a + \frac{623983097}{58482} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -448 a + 440\) , \( 368 a - 3680\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-448a+440\right){x}+368a-3680$
43776.1-g1 43776.1-g \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.843042849$ $3.182527911$ 3.098070086 \( \frac{352256}{57} a - \frac{833536}{57} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 3 a + 6\) , \( 12 a - 6\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(3a+6\right){x}+12a-6$
43776.1-g2 43776.1-g \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $0.421521424$ $1.591263955$ 3.098070086 \( \frac{680576}{1083} a - \frac{1112912}{1083} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 18 a - 9\) , \( 45 a - 9\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(18a-9\right){x}+45a-9$
43776.1-g3 43776.1-g \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $0.843042849$ $0.795631977$ 3.098070086 \( -\frac{2555399912}{390963} a + \frac{504945172}{390963} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -42 a - 69\) , \( 153 a + 243\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-42a-69\right){x}+153a+243$
43776.1-g4 43776.1-g \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.843042849$ $0.795631977$ 3.098070086 \( -\frac{313163992}{171} a + \frac{134834836}{57} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 318 a - 189\) , \( 1809 a + 27\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(318a-189\right){x}+1809a+27$
43776.1-h1 43776.1-h \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $0.825329878$ 0.953008855 \( \frac{4891705216}{171} a - \frac{6360346256}{171} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -46 a - 337\) , \( 659 a + 2461\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-46a-337\right){x}+659a+2461$
43776.1-h2 43776.1-h \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.650659756$ 0.953008855 \( \frac{59531264}{9747} a + \frac{305152}{9747} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -a - 22\) , \( 20 a + 40\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-a-22\right){x}+20a+40$
43776.1-h3 43776.1-h \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.825329878$ 0.953008855 \( -\frac{7945312}{13851} a + \frac{1440976}{4617} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -31 a + 53\) , \( -13 a + 208\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-31a+53\right){x}-13a+208$
43776.1-h4 43776.1-h \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.825329878$ 0.953008855 \( -\frac{9684739168}{1172889} a + \frac{9033979568}{1172889} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 44 a - 112\) , \( 272 a - 356\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(44a-112\right){x}+272a-356$
43776.1-i1 43776.1-i \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.797611447$ $1.909339521$ 3.517012440 \( \frac{384}{19} a - \frac{336}{19} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -3 a + 3\) , \( 12 a + 10\bigr] \) ${y}^2={x}^{3}+\left(-3a+3\right){x}+12a+10$
43776.1-i2 43776.1-i \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.398805723$ $0.954669760$ 3.517012440 \( \frac{14912328}{361} a + \frac{2711244}{361} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -63 a - 57\) , \( 348 a + 94\bigr] \) ${y}^2={x}^{3}+\left(-63a-57\right){x}+348a+94$
43776.1-j1 43776.1-j \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.241008099$ $3.307073059$ 3.681330318 \( \frac{384}{19} a - \frac{336}{19} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 2 a - 1\) , \( 3 a - 3\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(2a-1\right){x}+3a-3$
43776.1-j2 43776.1-j \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.482016199$ $1.653536529$ 3.681330318 \( \frac{14912328}{361} a + \frac{2711244}{361} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 22 a + 19\) , \( 39 a - 87\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(22a+19\right){x}+39a-87$
43776.1-k1 43776.1-k \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.909339521$ 2.204715373 \( \frac{384}{19} a - \frac{336}{19} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 3 a\) , \( -12 a - 10\bigr] \) ${y}^2={x}^{3}+3a{x}-12a-10$
43776.1-k2 43776.1-k \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.954669760$ 2.204715373 \( \frac{14912328}{361} a + \frac{2711244}{361} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -57 a + 120\) , \( -348 a - 94\bigr] \) ${y}^2={x}^{3}+\left(-57a+120\right){x}-348a-94$
43776.1-l1 43776.1-l \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.429128181$ $0.890747017$ 3.531024801 \( \frac{33713218}{361} a - \frac{64392016}{1083} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 8 a - 136\) , \( 80 a - 560\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(8a-136\right){x}+80a-560$
43776.1-l2 43776.1-l \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.214564090$ $1.781494035$ 3.531024801 \( -\frac{38332}{57} a + \frac{93020}{57} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 8 a - 16\) , \( -16 a + 16\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(8a-16\right){x}-16a+16$
43776.1-m1 43776.1-m \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.158258403$ 1.827410639 \( \frac{38854777864121}{7606576128} a - \frac{17432772730153}{7606576128} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -2630 a + 1711\) , \( 15625 a - 48369\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-2630a+1711\right){x}+15625a-48369$
43776.1-m2 43776.1-m \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.791292018$ 1.827410639 \( \frac{212831}{2052} a + \frac{51428}{513} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 10 a + 31\) , \( 25 a + 255\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(10a+31\right){x}+25a+255$
43776.1-m3 43776.1-m \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.079129201$ 1.827410639 \( -\frac{612993539767699445}{588582360748896} a + \frac{16582918214994847}{73572795093612} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 5050 a + 1711\) , \( 232201 a - 312561\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(5050a+1711\right){x}+232201a-312561$
43776.1-m4 43776.1-m \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.395646009$ 1.827410639 \( -\frac{537398275}{175446} a + \frac{623983097}{58482} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 10 a - 449\) , \( -359 a + 3231\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(10a-449\right){x}-359a+3231$
43776.1-n1 43776.1-n \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.446202527$ 1.669930836 \( \frac{593184}{361} a - \frac{124368}{361} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 24 a - 15\) , \( -48 a + 22\bigr] \) ${y}^2={x}^{3}+\left(24a-15\right){x}-48a+22$
43776.1-n2 43776.1-n \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.892405054$ 1.669930836 \( -\frac{49152}{19} a + \frac{43008}{19} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -6 a\) , \( -6 a + 1\bigr] \) ${y}^2={x}^{3}-6a{x}-6a+1$
43776.1-o1 43776.1-o \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.195060975$ $0.678284381$ 3.743960357 \( \frac{29840721}{6859} a - \frac{35267232}{6859} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -75 a + 147\) , \( -552 a - 118\bigr] \) ${y}^2={x}^{3}+\left(-75a+147\right){x}-552a-118$
43776.1-o2 43776.1-o \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.390121950$ $0.339142190$ 3.743960357 \( -\frac{36038181633}{47045881} a - \frac{39546962313}{47045881} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 405 a - 93\) , \( -888 a - 3478\bigr] \) ${y}^2={x}^{3}+\left(405a-93\right){x}-888a-3478$
43776.1-o3 43776.1-o \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.398353658$ $2.034853145$ 3.743960357 \( -\frac{9153}{19} a + \frac{36801}{19} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 5 a - 13\) , \( 8 a - 6\bigr] \) ${y}^2={x}^{3}+\left(5a-13\right){x}+8a-6$
43776.1-o4 43776.1-o \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.796707316$ $1.017426572$ 3.743960357 \( -\frac{363527109}{361} a + \frac{287391186}{361} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 85 a - 173\) , \( 568 a - 790\bigr] \) ${y}^2={x}^{3}+\left(85a-173\right){x}+568a-790$
43776.1-p1 43776.1-p \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $0.445694445$ 2.058574465 \( \frac{153112323818}{1172889} a - \frac{412559940724}{1172889} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 764 a - 400\) , \( 5956 a + 1256\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(764a-400\right){x}+5956a+1256$
43776.1-p2 43776.1-p \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.445694445$ 2.058574465 \( -\frac{146505950}{13851} a - \frac{1415641972}{13851} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 284 a - 640\) , \( -3740 a + 5480\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(284a-640\right){x}-3740a+5480$
43776.1-p3 43776.1-p \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.891388891$ 2.058574465 \( -\frac{2558180}{9747} a + \frac{2091244}{3249} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 44 a - 40\) , \( 52 a + 104\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(44a-40\right){x}+52a+104$
43776.1-p4 43776.1-p \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.782777782$ 2.058574465 \( \frac{271888}{171} a + \frac{615616}{171} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -16 a + 20\) , \( 4 a + 32\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-16a+20\right){x}+4a+32$
43776.1-q1 43776.1-q \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.174823011$ 2.713137527 \( \frac{29840721}{6859} a - \frac{35267232}{6859} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 25 a + 25\) , \( -63 a + 136\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(25a+25\right){x}-63a+136$
43776.1-q2 43776.1-q \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.587411505$ 2.713137527 \( -\frac{36038181633}{47045881} a - \frac{39546962313}{47045881} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 105 a - 135\) , \( -847 a + 504\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(105a-135\right){x}-847a+504$
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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.