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 |
43776.2-a1 |
43776.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{22} \cdot 3^{7} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.523408160$ |
$0.562939243$ |
3.961021158 |
\( \frac{15022522382}{57} a - \frac{11481175312}{57} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -126 a + 1023\) , \( 13401 a - 4221\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-126a+1023\right){x}+13401a-4221$ |
43776.2-a2 |
43776.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{8} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.380852040$ |
$1.125878486$ |
3.961021158 |
\( -\frac{5171068}{361} a - \frac{1400812}{1083} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -6 a + 63\) , \( 225 a - 45\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-6a+63\right){x}+225a-45$ |
43776.2-a3 |
43776.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{22} \cdot 3^{10} \cdot 19^{4} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.095213010$ |
$0.562939243$ |
3.961021158 |
\( \frac{1018942694}{390963} a - \frac{1263770528}{1172889} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 114 a + 63\) , \( -87 a + 867\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(114a+63\right){x}-87a+867$ |
43776.2-a4 |
43776.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{16} \cdot 3^{7} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.095213010$ |
$2.251756972$ |
3.961021158 |
\( -\frac{11984}{57} a - \frac{19136}{57} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -6 a + 3\) , \( 9 a - 9\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-6a+3\right){x}+9a-9$ |
43776.2-b1 |
43776.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{16} \cdot 3^{9} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.825329878$ |
0.953008855 |
\( -\frac{4891705216}{171} a - \frac{1468641040}{171} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -383 a + 337\) , \( -659 a + 3120\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-383a+337\right){x}-659a+3120$ |
43776.2-b2 |
43776.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{16} \cdot 3^{9} \cdot 19^{4} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$0.825329878$ |
0.953008855 |
\( \frac{9684739168}{1172889} a - \frac{650759600}{1172889} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -68 a + 112\) , \( -272 a - 84\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-68a+112\right){x}-272a-84$ |
43776.2-b3 |
43776.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{16} \cdot 3^{18} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$0.825329878$ |
0.953008855 |
\( \frac{7945312}{13851} a - \frac{3622384}{13851} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 22 a - 53\) , \( 13 a + 195\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(22a-53\right){x}+13a+195$ |
43776.2-b4 |
43776.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{8} \cdot 3^{12} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$1.650659756$ |
0.953008855 |
\( -\frac{59531264}{9747} a + \frac{19945472}{3249} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -23 a + 22\) , \( -20 a + 60\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-23a+22\right){x}-20a+60$ |
43776.2-c1 |
43776.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{8} \cdot 3^{7} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$0.843042849$ |
$3.182527911$ |
3.098070086 |
\( -\frac{352256}{57} a - \frac{481280}{57} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -5 a - 2\) , \( -4 a\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-5a-2\right){x}-4a$ |
43776.2-c2 |
43776.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{7} \cdot 19^{4} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.843042849$ |
$0.795631977$ |
3.098070086 |
\( \frac{2555399912}{390963} a - \frac{2050454740}{390963} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 70 a + 43\) , \( -265 a + 465\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(70a+43\right){x}-265a+465$ |
43776.2-c3 |
43776.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{16} \cdot 3^{8} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.421521424$ |
$1.591263955$ |
3.098070086 |
\( -\frac{680576}{1083} a - \frac{144112}{361} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 10 a - 17\) , \( -37 a + 45\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(10a-17\right){x}-37a+45$ |
43776.2-c4 |
43776.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{10} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.843042849$ |
$0.795631977$ |
3.098070086 |
\( \frac{313163992}{171} a + \frac{91340516}{171} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 190 a - 317\) , \( -1681 a + 2025\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(190a-317\right){x}-1681a+2025$ |
43776.2-d1 |
43776.2-d |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{24} \cdot 3^{9} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \) |
$1.073530510$ |
$0.587411505$ |
2.912635915 |
\( \frac{363527109}{361} a - \frac{76135923}{361} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 264 a - 519\) , \( 3036 a - 4074\bigr] \) |
${y}^2={x}^{3}+\left(264a-519\right){x}+3036a-4074$ |
43776.2-d2 |
43776.2-d |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{24} \cdot 3^{3} \cdot 19^{6} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.357843503$ |
$0.587411505$ |
2.912635915 |
\( \frac{36038181633}{47045881} a - \frac{75585143946}{47045881} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -103 a - 31\) , \( -951 a + 312\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-103a-31\right){x}-951a+312$ |
43776.2-d3 |
43776.2-d |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{24} \cdot 3^{3} \cdot 19^{3} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.178921751$ |
$1.174823011$ |
2.912635915 |
\( -\frac{29840721}{6859} a - \frac{5426511}{6859} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -23 a + 49\) , \( -87 a - 24\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-23a+49\right){x}-87a-24$ |
43776.2-d4 |
43776.2-d |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{24} \cdot 3^{9} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \) |
$0.536765255$ |
$1.174823011$ |
2.912635915 |
\( \frac{9153}{19} a + \frac{27648}{19} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 24 a - 39\) , \( 12 a - 42\bigr] \) |
${y}^2={x}^{3}+\left(24a-39\right){x}+12a-42$ |
43776.2-e1 |
43776.2-e |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{16} \cdot 3^{9} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.797611447$ |
$1.909339521$ |
3.517012440 |
\( -\frac{384}{19} a + \frac{48}{19} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -3 a + 3\) , \( -12 a + 22\bigr] \) |
${y}^2={x}^{3}+\left(-3a+3\right){x}-12a+22$ |
43776.2-e2 |
43776.2-e |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{9} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.398805723$ |
$0.954669760$ |
3.517012440 |
\( -\frac{14912328}{361} a + \frac{17623572}{361} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 57 a + 63\) , \( -348 a + 442\bigr] \) |
${y}^2={x}^{3}+\left(57a+63\right){x}-348a+442$ |
43776.2-f1 |
43776.2-f |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{34} \cdot 3^{8} \cdot 19^{10} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
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 |
\( \frac{612993539767699445}{588582360748896} a - \frac{160110064682580223}{196194120249632} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 6761 a - 1711\) , \( -232201 a - 80360\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(6761a-1711\right){x}-232201a-80360$ |
43776.2-f2 |
43776.2-f |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{28} \cdot 3^{11} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.4.1 |
$1$ |
\( 2^{3} \) |
$1$ |
$0.791292018$ |
1.827410639 |
\( -\frac{212831}{2052} a + \frac{418543}{2052} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 41 a - 31\) , \( -25 a + 280\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(41a-31\right){x}-25a+280$ |
43776.2-f3 |
43776.2-f |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{44} \cdot 3^{7} \cdot 19^{5} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
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 |
\( -\frac{38854777864121}{7606576128} a + \frac{1338875320873}{475411008} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -919 a - 1711\) , \( -15625 a - 32744\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-919a-1711\right){x}-15625a-32744$ |
43776.2-f4 |
43776.2-f |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{26} \cdot 3^{16} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.4.1 |
$1$ |
\( 2^{4} \) |
$1$ |
$0.395646009$ |
1.827410639 |
\( \frac{537398275}{175446} a + \frac{667275508}{87723} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -439 a + 449\) , \( 359 a + 2872\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-439a+449\right){x}+359a+2872$ |
43776.2-g1 |
43776.2-g |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{7} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.214564090$ |
$1.781494035$ |
3.531024801 |
\( \frac{38332}{57} a + \frac{54688}{57} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -6 a - 9\) , \( 9 a - 9\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-6a-9\right){x}+9a-9$ |
43776.2-g2 |
43776.2-g |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{22} \cdot 3^{8} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.429128181$ |
$0.890747017$ |
3.531024801 |
\( -\frac{33713218}{361} a + \frac{36747638}{1083} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -6 a - 129\) , \( -87 a - 609\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-6a-129\right){x}-87a-609$ |
43776.2-h1 |
43776.2-h |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{8} \cdot 3^{9} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$2.892405054$ |
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 |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{16} \cdot 3^{9} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.446202527$ |
1.669930836 |
\( -\frac{593184}{361} a + \frac{468816}{361} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -24 a + 9\) , \( 48 a - 26\bigr] \) |
${y}^2={x}^{3}+\left(-24a+9\right){x}+48a-26$ |
43776.2-i1 |
43776.2-i |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{24} \cdot 3^{3} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \) |
$0.796707316$ |
$1.017426572$ |
3.743960357 |
\( \frac{363527109}{361} a - \frac{76135923}{361} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -88 a + 173\) , \( -568 a - 222\bigr] \) |
${y}^2={x}^{3}+\left(-88a+173\right){x}-568a-222$ |
43776.2-i2 |
43776.2-i |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{24} \cdot 3^{9} \cdot 19^{6} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \) |
$2.390121950$ |
$0.339142190$ |
3.743960357 |
\( \frac{36038181633}{47045881} a - \frac{75585143946}{47045881} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 312 a + 93\) , \( 888 a - 4366\bigr] \) |
${y}^2={x}^{3}+\left(312a+93\right){x}+888a-4366$ |
43776.2-i3 |
43776.2-i |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{24} \cdot 3^{9} \cdot 19^{3} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \) |
$1.195060975$ |
$0.678284381$ |
3.743960357 |
\( -\frac{29840721}{6859} a - \frac{5426511}{6859} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 72 a - 147\) , \( 552 a - 670\bigr] \) |
${y}^2={x}^{3}+\left(72a-147\right){x}+552a-670$ |
43776.2-i4 |
43776.2-i |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{24} \cdot 3^{3} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \) |
$0.398353658$ |
$2.034853145$ |
3.743960357 |
\( \frac{9153}{19} a + \frac{27648}{19} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -8 a + 13\) , \( -8 a + 2\bigr] \) |
${y}^2={x}^{3}+\left(-8a+13\right){x}-8a+2$ |
43776.2-j1 |
43776.2-j |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{22} \cdot 3^{9} \cdot 19^{4} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.445694445$ |
2.058574465 |
\( -\frac{153112323818}{1172889} a - \frac{259447616906}{1172889} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 401 a - 763\) , \( -5593 a + 7612\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(401a-763\right){x}-5593a+7612$ |
43776.2-j2 |
43776.2-j |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{22} \cdot 3^{18} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.445694445$ |
2.058574465 |
\( \frac{146505950}{13851} a - \frac{520715974}{4617} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 641 a - 283\) , \( 3383 a + 2380\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(641a-283\right){x}+3383a+2380$ |
43776.2-j3 |
43776.2-j |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{12} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$0.891388891$ |
2.058574465 |
\( \frac{2558180}{9747} a + \frac{3715552}{9747} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 41 a - 43\) , \( -49 a + 196\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(41a-43\right){x}-49a+196$ |
43776.2-j4 |
43776.2-j |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{16} \cdot 3^{9} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.782777782$ |
2.058574465 |
\( -\frac{271888}{171} a + \frac{887504}{171} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -19 a + 17\) , \( -a + 16\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-19a+17\right){x}-a+16$ |
43776.2-k1 |
43776.2-k |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{8} \cdot 3^{9} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$0.959303252$ |
$2.892405054$ |
3.203940165 |
\( \frac{49152}{19} a - \frac{6144}{19} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 6\) , \( -6 a + 5\bigr] \) |
${y}^2={x}^{3}+6{x}-6a+5$ |
43776.2-k2 |
43776.2-k |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{16} \cdot 3^{9} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.479651626$ |
$1.446202527$ |
3.203940165 |
\( -\frac{593184}{361} a + \frac{468816}{361} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 15 a - 24\) , \( -48 a + 26\bigr] \) |
${y}^2={x}^{3}+\left(15a-24\right){x}-48a+26$ |
43776.2-l1 |
43776.2-l |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{34} \cdot 3^{8} \cdot 19^{10} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.4.2 |
$1$ |
\( 2^{4} \) |
$4.965154356$ |
$0.079129201$ |
3.629350358 |
\( \frac{612993539767699445}{588582360748896} a - \frac{160110064682580223}{196194120249632} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -1710 a - 5049\) , \( 225441 a + 82071\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-1710a-5049\right){x}+225441a+82071$ |
43776.2-l2 |
43776.2-l |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{28} \cdot 3^{11} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.4.1 |
$1$ |
\( 2^{4} \) |
$0.496515435$ |
$0.791292018$ |
3.629350358 |
\( -\frac{212831}{2052} a + \frac{418543}{2052} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -30 a - 9\) , \( -15 a - 249\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-30a-9\right){x}-15a-249$ |
43776.2-l3 |
43776.2-l |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{44} \cdot 3^{7} \cdot 19^{5} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.4.2 |
$1$ |
\( 2^{4} \) |
$2.482577178$ |
$0.158258403$ |
3.629350358 |
\( -\frac{38854777864121}{7606576128} a + \frac{1338875320873}{475411008} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -1710 a + 2631\) , \( 16545 a + 34455\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-1710a+2631\right){x}+16545a+34455$ |
43776.2-l4 |
43776.2-l |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{26} \cdot 3^{16} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.4.1 |
$1$ |
\( 2^{4} \) |
$0.993030871$ |
$0.395646009$ |
3.629350358 |
\( \frac{537398275}{175446} a + \frac{667275508}{87723} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 450 a - 9\) , \( 81 a - 3321\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(450a-9\right){x}+81a-3321$ |
43776.2-m1 |
43776.2-m |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{7} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.433624710$ |
$1.781494035$ |
3.568023906 |
\( \frac{38332}{57} a + \frac{54688}{57} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -6 a - 9\) , \( -9 a + 9\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-6a-9\right){x}-9a+9$ |
43776.2-m2 |
43776.2-m |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{22} \cdot 3^{8} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.216812355$ |
$0.890747017$ |
3.568023906 |
\( -\frac{33713218}{361} a + \frac{36747638}{1083} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -6 a - 129\) , \( 87 a + 609\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-6a-129\right){x}+87a+609$ |
43776.2-n1 |
43776.2-n |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{22} \cdot 3^{12} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.559785766$ |
$0.725624560$ |
3.752262220 |
\( \frac{22750096}{9747} a - \frac{25133578}{3249} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 132 a - 24\) , \( -108 a - 504\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(132a-24\right){x}-108a-504$ |
43776.2-n2 |
43776.2-n |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{9} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.279892883$ |
$1.451249120$ |
3.752262220 |
\( \frac{82112}{171} a - \frac{303700}{171} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 12 a - 24\) , \( 36 a - 72\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(12a-24\right){x}+36a-72$ |
43776.2-o1 |
43776.2-o |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{16} \cdot 3^{3} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.241008099$ |
$3.307073059$ |
3.681330318 |
\( -\frac{384}{19} a + \frac{48}{19} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( a + 1\) , \( -3 a\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(a+1\right){x}-3a$ |
43776.2-o2 |
43776.2-o |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{3} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.482016199$ |
$1.653536529$ |
3.681330318 |
\( -\frac{14912328}{361} a + \frac{17623572}{361} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 41 a - 19\) , \( -39 a - 48\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(41a-19\right){x}-39a-48$ |
43776.2-p1 |
43776.2-p |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{16} \cdot 3^{9} \cdot 19 \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.909339521$ |
2.204715373 |
\( -\frac{384}{19} a + \frac{48}{19} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -3\) , \( 12 a - 22\bigr] \) |
${y}^2={x}^{3}-3{x}+12a-22$ |
43776.2-p2 |
43776.2-p |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{9} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.954669760$ |
2.204715373 |
\( -\frac{14912328}{361} a + \frac{17623572}{361} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -120 a + 57\) , \( 348 a - 442\bigr] \) |
${y}^2={x}^{3}+\left(-120a+57\right){x}+348a-442$ |
43776.2-q1 |
43776.2-q |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{24} \cdot 3^{9} \cdot 19^{2} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{4} \) |
$1$ |
$0.587411505$ |
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 |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43776.2 |
\( 2^{8} \cdot 3^{2} \cdot 19 \) |
\( 2^{24} \cdot 3^{3} \cdot 19^{6} \) |
$2.23876$ |
$(-2a+1), (-5a+2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{4} \) |
$1$ |
$0.587411505$ |
2.713137527 |
\( \frac{36038181633}{47045881} a - \frac{75585143946}{47045881} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -103 a - 31\) , \( 951 a - 312\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-103a-31\right){x}+951a-312$ |
*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.