Label |
Class |
Class size |
Class degree |
Base field |
Field degree |
Field signature |
Conductor |
Conductor norm |
Discriminant norm |
Root analytic conductor |
Bad primes |
Rank |
Torsion |
CM |
CM |
Sato-Tate |
$\Q$-curve |
Base change |
Semistable |
Potentially good |
Nonmax $\ell$ |
mod-$\ell$ images |
$Ш_{\textrm{an}}$ |
Tamagawa |
Regulator |
Period |
Leading coeff |
j-invariant |
Weierstrass coefficients |
Weierstrass equation |
43776.1-a1 |
43776.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{8} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.380852040$ |
$1.125878486$ |
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 |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{16} \cdot 3^{7} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.095213010$ |
$2.251756972$ |
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 |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{22} \cdot 3^{10} \cdot 19^{4} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.095213010$ |
$0.562939243$ |
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 |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{22} \cdot 3^{7} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.523408160$ |
$0.562939243$ |
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 |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{24} \cdot 3^{3} \cdot 19^{3} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.178921751$ |
$1.174823011$ |
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 |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{24} \cdot 3^{3} \cdot 19^{6} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.357843503$ |
$0.587411505$ |
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 |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{24} \cdot 3^{9} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \) |
$0.536765255$ |
$1.174823011$ |
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 |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{24} \cdot 3^{9} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \) |
$1.073530510$ |
$0.587411505$ |
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 |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{16} \cdot 3^{9} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.479651626$ |
$1.446202527$ |
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 |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{8} \cdot 3^{9} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$0.959303252$ |
$2.892405054$ |
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 |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{22} \cdot 3^{8} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.216812355$ |
$0.890747017$ |
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 |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{7} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.433624710$ |
$1.781494035$ |
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 |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{22} \cdot 3^{12} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.559785766$ |
$0.725624560$ |
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 |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{9} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.279892883$ |
$1.451249120$ |
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 |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{44} \cdot 3^{7} \cdot 19^{5} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.4.2 |
$1$ |
\( 2^{4} \) |
$2.482577178$ |
$0.158258403$ |
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 |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{28} \cdot 3^{11} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.4.1 |
$1$ |
\( 2^{4} \) |
$0.496515435$ |
$0.791292018$ |
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 |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{34} \cdot 3^{8} \cdot 19^{10} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.4.2 |
$1$ |
\( 2^{4} \) |
$4.965154356$ |
$0.079129201$ |
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 |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{26} \cdot 3^{16} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.4.1 |
$1$ |
\( 2^{4} \) |
$0.993030871$ |
$0.395646009$ |
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 |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{8} \cdot 3^{7} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$0.843042849$ |
$3.182527911$ |
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 |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{16} \cdot 3^{8} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.421521424$ |
$1.591263955$ |
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 |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{7} \cdot 19^{4} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.843042849$ |
$0.795631977$ |
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 |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{10} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.843042849$ |
$0.795631977$ |
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 |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{16} \cdot 3^{9} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.825329878$ |
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 |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{8} \cdot 3^{12} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$1.650659756$ |
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 |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{16} \cdot 3^{18} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$0.825329878$ |
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 |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{16} \cdot 3^{9} \cdot 19^{4} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$0.825329878$ |
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 |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{16} \cdot 3^{9} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.797611447$ |
$1.909339521$ |
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 |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{9} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.398805723$ |
$0.954669760$ |
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 |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{16} \cdot 3^{3} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.241008099$ |
$3.307073059$ |
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 |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{3} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.482016199$ |
$1.653536529$ |
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 |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{16} \cdot 3^{9} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.909339521$ |
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 |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{9} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.954669760$ |
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 |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{22} \cdot 3^{8} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.429128181$ |
$0.890747017$ |
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 |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{7} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.214564090$ |
$1.781494035$ |
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 |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{44} \cdot 3^{7} \cdot 19^{5} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.4.2 |
$1$ |
\( 2^{3} \cdot 5 \) |
$1$ |
$0.158258403$ |
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 |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{28} \cdot 3^{11} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.4.1 |
$1$ |
\( 2^{3} \) |
$1$ |
$0.791292018$ |
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 |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{34} \cdot 3^{8} \cdot 19^{10} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.4.2 |
$1$ |
\( 2^{4} \cdot 5 \) |
$1$ |
$0.079129201$ |
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 |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{26} \cdot 3^{16} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.4.1 |
$1$ |
\( 2^{4} \) |
$1$ |
$0.395646009$ |
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 |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{16} \cdot 3^{9} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.446202527$ |
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 |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{8} \cdot 3^{9} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$2.892405054$ |
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 |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{24} \cdot 3^{9} \cdot 19^{3} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \) |
$1.195060975$ |
$0.678284381$ |
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 |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{24} \cdot 3^{9} \cdot 19^{6} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \) |
$2.390121950$ |
$0.339142190$ |
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 |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{24} \cdot 3^{3} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \) |
$0.398353658$ |
$2.034853145$ |
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 |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{24} \cdot 3^{3} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \) |
$0.796707316$ |
$1.017426572$ |
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 |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{22} \cdot 3^{9} \cdot 19^{4} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.445694445$ |
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 |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{22} \cdot 3^{18} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.445694445$ |
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 |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{12} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$0.891388891$ |
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 |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{16} \cdot 3^{9} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.782777782$ |
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 |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{24} \cdot 3^{3} \cdot 19^{3} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \) |
$1$ |
$1.174823011$ |
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 |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.1 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{24} \cdot 3^{3} \cdot 19^{6} \) |
$2.23876$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{4} \) |
$1$ |
$0.587411505$ |
2.713137527 |
\( -\frac{36038181633}{47045881} a - \frac{39546962313}{47045881} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 105 a - 135\) , \( -847 a + 504\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(105a-135\right){x}-847a+504$ |
*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.