| 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 |
| 83200.1-a1 |
83200.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{19} \cdot 5^{3} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.198263600$ |
$1.658422915$ |
5.260878384 |
\( \frac{1027380}{169} a - \frac{6481828}{169} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -8 i + 32\) , \( -60 i - 24\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-8i+32\right){x}-60i-24$ |
| 83200.1-a2 |
83200.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{14} \cdot 5^{3} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.198263600$ |
$3.316845831$ |
5.260878384 |
\( \frac{7840}{13} a + \frac{1984}{13} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 2 i + 2\) , \( -4\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(2i+2\right){x}-4$ |
| 83200.1-b1 |
83200.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{22} \cdot 5^{9} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.523383249$ |
$0.935054592$ |
3.915135291 |
\( \frac{109298}{1625} a + \frac{1963264}{1625} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -8 i - 48\) , \( -100 i + 16\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-8i-48\right){x}-100i+16$ |
| 83200.1-b2 |
83200.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{23} \cdot 5^{12} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.046766499$ |
$0.467527296$ |
3.915135291 |
\( -\frac{321047281}{2640625} a + \frac{6395175767}{2640625} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 32 i + 232\) , \( -660 i + 96\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(32i+232\right){x}-660i+96$ |
| 83200.1-c1 |
83200.1-c |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 5^{9} \cdot 13^{10} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \) |
$2.715032601$ |
$0.161777167$ |
3.513842264 |
\( -\frac{133474836631120}{137858491849} a - \frac{557894869971688}{137858491849} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -70 i - 2153\) , \( 63 i - 44951\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-70i-2153\right){x}+63i-44951$ |
| 83200.1-c2 |
83200.1-c |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 5^{9} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{2} \) |
$1.086013040$ |
$1.617771671$ |
3.513842264 |
\( -\frac{18944}{13} a + \frac{30656}{13} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -10 i + 17\) , \( 13 i + 33\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(-10i+17\right){x}+13i+33$ |
| 83200.1-c3 |
83200.1-c |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 5^{9} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \) |
$0.543006520$ |
$0.808885835$ |
3.513842264 |
\( \frac{3782000}{169} a + \frac{2403032}{169} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -30 i + 127\) , \( -503 i - 129\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(-30i+127\right){x}-503i-129$ |
| 83200.1-c4 |
83200.1-c |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 5^{9} \cdot 13^{5} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{2} \) |
$5.430065202$ |
$0.323554334$ |
3.513842264 |
\( \frac{3444078286336}{371293} a + \frac{8030740546496}{371293} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -50 i - 2263\) , \( -621 i - 40689\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-50i-2263\right){x}-621i-40689$ |
| 83200.1-d1 |
83200.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{20} \cdot 5^{8} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.861184100$ |
$0.849779646$ |
5.854533762 |
\( \frac{8646624}{4225} a - \frac{66027268}{4225} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 76 i + 74\) , \( -182 i + 388\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(76i+74\right){x}-182i+388$ |
| 83200.1-d2 |
83200.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{23} \cdot 5^{8} \cdot 13^{8} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$0.215296025$ |
$0.212444911$ |
5.854533762 |
\( -\frac{94078100761841}{20393268025} a - \frac{11284537597913}{20393268025} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -1044 i - 766\) , \( -17486 i - 5940\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-1044i-766\right){x}-17486i-5940$ |
| 83200.1-d3 |
83200.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{22} \cdot 5^{10} \cdot 13^{4} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.861184100$ |
$0.424889823$ |
5.854533762 |
\( \frac{15461171586}{17850625} a - \frac{9080741152}{17850625} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 196 i - 86\) , \( -1902 i + 348\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(196i-86\right){x}-1902i+348$ |
| 83200.1-d4 |
83200.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 5^{7} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.215296025$ |
$1.699559292$ |
5.854533762 |
\( -\frac{75008}{65} a - \frac{29104}{65} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -4 i + 14\) , \( 22 i + 16\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-4i+14\right){x}+22i+16$ |
| 83200.1-d5 |
83200.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{23} \cdot 5^{14} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.861184100$ |
$0.212444911$ |
5.854533762 |
\( -\frac{143087370512191}{66015625} a + \frac{29292377558137}{66015625} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 3356 i - 1966\) , \( -94478 i + 1516\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(3356i-1966\right){x}-94478i+1516$ |
| 83200.1-d6 |
83200.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{22} \cdot 5^{7} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.861184100$ |
$0.424889823$ |
5.854533762 |
\( -\frac{4355686402}{65} a + \frac{17124606704}{65} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 1236 i + 1194\) , \( -10238 i + 25196\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(1236i+1194\right){x}-10238i+25196$ |
| 83200.1-e1 |
83200.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{19} \cdot 5^{6} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.730381696$ |
$0.864984338$ |
5.987012267 |
\( -\frac{35676140}{13} a - \frac{81459452}{13} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 116 i - 246\) , \( -1022 i + 1284\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(116i-246\right){x}-1022i+1284$ |
| 83200.1-e2 |
83200.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 5^{6} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.432595424$ |
$1.729968676$ |
5.987012267 |
\( \frac{219264}{13} a - \frac{16384}{13} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( 6 i + 25\) , \( 39 i - 18\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(6i+25\right){x}+39i-18$ |
| 83200.1-e3 |
83200.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{19} \cdot 5^{6} \cdot 13^{4} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.108148856$ |
$0.864984338$ |
5.987012267 |
\( \frac{34116572}{28561} a + \frac{12300412}{28561} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 16 i + 54\) , \( -94 i + 180\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(16i+54\right){x}-94i+180$ |
| 83200.1-e4 |
83200.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{14} \cdot 5^{6} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.432595424$ |
$1.729968676$ |
5.987012267 |
\( -\frac{420000}{169} a + \frac{218432}{169} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 6 i - 16\) , \( -18 i + 12\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(6i-16\right){x}-18i+12$ |
| 83200.1-f1 |
83200.1-f |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{24} \cdot 5^{9} \cdot 13^{3} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3Cn |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.609236210$ |
$0.544697640$ |
3.982194316 |
\( -\frac{906876}{2197} a + \frac{1118799}{2197} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -104 i - 53\) , \( -374 i - 568\bigr] \) |
${y}^2={x}^{3}+\left(-104i-53\right){x}-374i-568$ |
| 83200.1-f2 |
83200.1-f |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{24} \cdot 5^{9} \cdot 13^{6} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3Cn |
$1$ |
\( 2^{3} \cdot 3 \) |
$1.218472421$ |
$0.272348820$ |
3.982194316 |
\( \frac{10047446145}{4826809} a + \frac{17756992962}{4826809} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 776 i + 107\) , \( -4630 i - 5160\bigr] \) |
${y}^2={x}^{3}+\left(776i+107\right){x}-4630i-5160$ |
| 83200.1-g1 |
83200.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{21} \cdot 5^{10} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.539036824$ |
2.156147299 |
\( \frac{9109431098}{8125} a - \frac{703641086}{8125} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( 242 i - 493\) , \( 2893 i - 3755\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(242i-493\right){x}+2893i-3755$ |
| 83200.1-g2 |
83200.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 5^{8} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$1.078073649$ |
2.156147299 |
\( \frac{2630664}{4225} a + \frac{6709952}{4225} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( 22 i - 33\) , \( -7 i - 55\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(22i-33\right){x}-7i-55$ |
| 83200.1-g3 |
83200.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 5^{7} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.156147299$ |
2.156147299 |
\( -\frac{42112}{65} a + \frac{108224}{65} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( -8 i + 7\) , \( 7 i - 7\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(-8i+7\right){x}+7i-7$ |
| 83200.1-g4 |
83200.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{21} \cdot 5^{7} \cdot 13^{4} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.539036824$ |
2.156147299 |
\( -\frac{9896441706}{142805} a + \frac{2615329822}{142805} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( 282 i - 213\) , \( -2683 i + 413\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(282i-213\right){x}-2683i+413$ |
| 83200.1-h1 |
83200.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{20} \cdot 5^{9} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.059999824$ |
2.119999649 |
\( -\frac{2224}{13} a + \frac{356}{13} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( -4 i - 20\) , \( 60 i - 96\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(-4i-20\right){x}+60i-96$ |
| 83200.1-h2 |
83200.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{22} \cdot 5^{9} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.529999912$ |
2.119999649 |
\( \frac{47776420}{169} a + \frac{17266442}{169} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( 76 i - 460\) , \( 1084 i - 3728\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(76i-460\right){x}+1084i-3728$ |
| 83200.1-i1 |
83200.1-i |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{42} \cdot 5^{15} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$9$ |
\( 2^{3} \) |
$1$ |
$0.107412475$ |
1.933424563 |
\( \frac{276861163011391}{13000000000} a - \frac{33515586556057}{812500000} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 1074 i - 8145\) , \( 56883 i - 283111\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(1074i-8145\right){x}+56883i-283111$ |
| 83200.1-i2 |
83200.1-i |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{30} \cdot 5^{9} \cdot 13^{3} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.322237427$ |
1.933424563 |
\( -\frac{37525044319}{2197000} a - \frac{7169596274}{274625} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 754 i - 385\) , \( -9773 i - 503\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(754i-385\right){x}-9773i-503$ |
| 83200.1-i3 |
83200.1-i |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{27} \cdot 5^{12} \cdot 13^{6} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.161118713$ |
1.933424563 |
\( -\frac{133816114442969}{301675562500} a - \frac{19082395919017}{301675562500} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 914 i + 735\) , \( -23565 i + 21353\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(914i+735\right){x}-23565i+21353$ |
| 83200.1-i4 |
83200.1-i |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{33} \cdot 5^{24} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$9$ |
\( 2^{4} \) |
$1$ |
$0.053706237$ |
1.933424563 |
\( \frac{8418015312387897223}{20629882812500000} a + \frac{2783266907131437289}{20629882812500000} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -7886 i - 6865\) , \( 699187 i - 407783\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-7886i-6865\right){x}+699187i-407783$ |
| 83200.1-i5 |
83200.1-i |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{26} \cdot 5^{7} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.966712281$ |
1.933424563 |
\( -\frac{31409}{130} a + \frac{101344}{65} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -46 i + 15\) , \( -45 i - 7\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-46i+15\right){x}-45i-7$ |
| 83200.1-i6 |
83200.1-i |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{25} \cdot 5^{8} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.483356140$ |
1.933424563 |
\( -\frac{4406742137}{8450} a + \frac{1310300809}{8450} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -606 i + 95\) , \( -2909 i + 4745\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-606i+95\right){x}-2909i+4745$ |
| 83200.1-j1 |
83200.1-j |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{19} \cdot 5^{3} \cdot 13^{6} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.414094126$ |
$0.866425513$ |
4.305380593 |
\( \frac{216464652}{4826809} a + \frac{109560836}{4826809} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 20 i + 2\) , \( -194 i + 20\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(20i+2\right){x}-194i+20$ |
| 83200.1-j2 |
83200.1-j |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{14} \cdot 5^{3} \cdot 13^{3} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.207047063$ |
$1.732851027$ |
4.305380593 |
\( \frac{127480096}{2197} a + \frac{36670528}{2197} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 10 i + 32\) , \( 62 i - 44\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(10i+32\right){x}+62i-44$ |
| 83200.1-k1 |
83200.1-k |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{19} \cdot 5^{8} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.636680645$ |
$0.951386247$ |
4.845833680 |
\( \frac{18805284}{4225} a - \frac{16444188}{4225} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -20 i - 65\) , \( 122 i + 204\bigr] \) |
${y}^2={x}^{3}+\left(-20i-65\right){x}+122i+204$ |
| 83200.1-k2 |
83200.1-k |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{14} \cdot 5^{7} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.318340322$ |
$1.902772494$ |
4.845833680 |
\( -\frac{23328}{65} a - \frac{74304}{65} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -10 i + 5\) , \( -4 i + 22\bigr] \) |
${y}^2={x}^{3}+\left(-10i+5\right){x}-4i+22$ |
| 83200.1-l1 |
83200.1-l |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{19} \cdot 5^{9} \cdot 13^{6} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$3.080288958$ |
$0.387477269$ |
4.774167816 |
\( \frac{216464652}{4826809} a + \frac{109560836}{4826809} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -66 i + 75\) , \( -2249 i - 235\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-66i+75\right){x}-2249i-235$ |
| 83200.1-l2 |
83200.1-l |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{14} \cdot 5^{9} \cdot 13^{3} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.540144479$ |
$0.774954538$ |
4.774167816 |
\( \frac{127480096}{2197} a + \frac{36670528}{2197} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -156 i - 55\) , \( 715 i - 203\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(-156i-55\right){x}+715i-203$ |
| 83200.1-m1 |
83200.1-m |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{19} \cdot 5^{12} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.611205147$ |
2.444820591 |
\( -\frac{510916}{2640625} a + \frac{1029212}{2640625} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( 8\) , \( -136 i - 568\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+8{x}-136i-568$ |
| 83200.1-m2 |
83200.1-m |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{14} \cdot 5^{9} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.222410295$ |
2.444820591 |
\( \frac{2652512}{1625} a + \frac{67882816}{1625} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( -10 i - 62\) , \( -24 i - 184\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(-10i-62\right){x}-24i-184$ |
| 83200.1-n1 |
83200.1-n |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 5^{7} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.829939029$ |
$1.556159794$ |
5.166071001 |
\( -\frac{3752}{65} a - \frac{7136}{65} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 8\) , \( -32 i - 8\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+8{x}-32i-8$ |
| 83200.1-n2 |
83200.1-n |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{21} \cdot 5^{8} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.414969514$ |
$0.778079897$ |
5.166071001 |
\( -\frac{109815566}{4225} a + \frac{7969262}{4225} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 140 i - 12\) , \( -496 i - 456\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(140i-12\right){x}-496i-456$ |
| 83200.1-o1 |
83200.1-o |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{20} \cdot 5^{3} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.490435845$ |
$2.370231664$ |
4.649786281 |
\( -\frac{2224}{13} a + \frac{356}{13} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -2 i + 3\) , \( 3 i - 11\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-2i+3\right){x}+3i-11$ |
| 83200.1-o2 |
83200.1-o |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{22} \cdot 5^{3} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.980871690$ |
$1.185115832$ |
4.649786281 |
\( \frac{47776420}{169} a + \frac{17266442}{169} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -82 i + 43\) , \( 35 i - 387\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-82i+43\right){x}+35i-387$ |
| 83200.1-p1 |
83200.1-p |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 5^{7} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.546310423$ |
1.546310423 |
\( \frac{2662912}{65} a - \frac{16922944}{65} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -36 i + 40\) , \( -80 i - 122\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-36i+40\right){x}-80i-122$ |
| 83200.1-p2 |
83200.1-p |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 5^{10} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.773155211$ |
1.546310423 |
\( \frac{20996208}{8125} a - \frac{1102494856}{8125} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -56 i - 184\) , \( -504 i - 912\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-56i-184\right){x}-504i-912$ |
| 83200.1-p3 |
83200.1-p |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 5^{8} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$1.546310423$ |
1.546310423 |
\( -\frac{631296}{4225} a + \frac{2516672}{4225} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 4 i - 14\) , \( -32 i - 8\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(4i-14\right){x}-32i-8$ |
| 83200.1-p4 |
83200.1-p |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 5^{7} \cdot 13^{4} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.773155211$ |
1.546310423 |
\( \frac{110967056}{142805} a + \frac{597885848}{142805} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -16 i + 96\) , \( -252 i - 48\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-16i+96\right){x}-252i-48$ |
| 83200.1-q1 |
83200.1-q |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{22} \cdot 5^{9} \cdot 13^{4} \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$4.573968510$ |
$0.277158023$ |
5.070848289 |
\( \frac{10359522503116}{3570125} a - \frac{4364617727362}{3570125} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -1616 i - 1770\) , \( -41002 i - 20676\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-1616i-1770\right){x}-41002i-20676$ |
| 83200.1-q2 |
83200.1-q |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.1 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{22} \cdot 5^{18} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$4.573968510$ |
$0.277158023$ |
5.070848289 |
\( -\frac{2896194844812}{3173828125} a + \frac{3398200522034}{3173828125} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 144 i + 550\) , \( -4314 i - 1460\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(144i+550\right){x}-4314i-1460$ |
*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.
