| 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 |
| 67600.4-a1 |
67600.4-a |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{16} \cdot 5^{7} \cdot 13^{9} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$3.178266469$ |
$0.133722005$ |
3.400033334 |
\( -\frac{1411302663595036}{34328125} a - \frac{1774751413484333}{137312500} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( -7357 i + 12162\) , \( 455466 i + 474647\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-7357i+12162\right){x}+455466i+474647$ |
| 67600.4-a2 |
67600.4-a |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{24} \cdot 5^{5} \cdot 13^{7} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$1.059422156$ |
$0.401166016$ |
3.400033334 |
\( -\frac{171697}{6500} a + \frac{2279159}{104000} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( 3 i + 82\) , \( 1082 i + 1719\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}+\left(3i+82\right){x}+1082i+1719$ |
| 67600.4-a3 |
67600.4-a |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{13} \cdot 5^{25} \cdot 13^{9} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$12.71306587$ |
$0.033430501$ |
3.400033334 |
\( \frac{94290382838862669189021}{261902809143066406250} a + \frac{23228384730714798359947}{261902809143066406250} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( -2537 i - 25618\) , \( 2731422 i + 1988155\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-2537i-25618\right){x}+2731422i+1988155$ |
| 67600.4-a4 |
67600.4-a |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{15} \cdot 5^{14} \cdot 13^{10} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{6} \) |
$1.059422156$ |
$0.100291504$ |
3.400033334 |
\( -\frac{20122730162024161}{27891601562500} a + \frac{104798752060117927}{27891601562500} \) |
\( \bigl[i + 1\) , \( i + 1\) , \( 0\) , \( -1714 i - 5398\) , \( 43016 i + 113108\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-1714i-5398\right){x}+43016i+113108$ |
| 67600.4-a5 |
67600.4-a |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{14} \cdot 5^{14} \cdot 13^{12} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{6} \) |
$6.356532938$ |
$0.066861002$ |
3.400033334 |
\( -\frac{12415547946147007137}{2356840332031250} a + \frac{5474429230691529908}{1178420166015625} \) |
\( \bigl[i + 1\) , \( i + 1\) , \( 0\) , \( -7154 i + 12642\) , \( -393176 i - 473532\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-7154i+12642\right){x}-393176i-473532$ |
| 67600.4-a6 |
67600.4-a |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{13} \cdot 5^{10} \cdot 13^{18} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{6} \) |
$3.178266469$ |
$0.033430501$ |
3.400033334 |
\( \frac{4240925829815707588031}{728065160077531250} a + \frac{3613304062782124177817}{728065160077531250} \) |
\( \bigl[i + 1\) , \( i + 1\) , \( 0\) , \( -8574 i + 58582\) , \( 5164160 i + 636316\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-8574i+58582\right){x}+5164160i+636316$ |
| 67600.4-a7 |
67600.4-a |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{18} \cdot 5^{10} \cdot 13^{8} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{6} \) |
$2.118844312$ |
$0.200583008$ |
3.400033334 |
\( \frac{117057737097}{21125000} a + \frac{49160487287}{2640625} \) |
\( \bigl[i + 1\) , \( i + 1\) , \( 0\) , \( -794 i - 1838\) , \( -20520 i - 26940\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-794i-1838\right){x}-20520i-26940$ |
| 67600.4-a8 |
67600.4-a |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{15} \cdot 5^{11} \cdot 13^{7} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$4.237688625$ |
$0.100291504$ |
3.400033334 |
\( \frac{4023422266102893}{20312500} a + \frac{5856979210600901}{20312500} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( -12677 i - 28998\) , \( 1245458 i + 1781967\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-12677i-28998\right){x}+1245458i+1781967$ |
| 67600.4-b1 |
67600.4-b |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{39} \cdot 5^{5} \cdot 13^{2} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{2} \) |
$1.553427995$ |
$0.324223047$ |
4.029257268 |
\( -\frac{577233446569}{2048000} a - \frac{853138583973}{2048000} \) |
\( \bigl[i + 1\) , \( i + 1\) , \( i + 1\) , \( 1105 i + 772\) , \( -1732 i + 18623\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i+1\right){x}^{2}+\left(1105i+772\right){x}-1732i+18623$ |
| 67600.4-b2 |
67600.4-b |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{21} \cdot 5^{7} \cdot 13^{2} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{2} \) |
$0.517809331$ |
$0.972669141$ |
4.029257268 |
\( \frac{2944910839}{500000} a + \frac{24766677}{500000} \) |
\( \bigl[i + 1\) , \( i + 1\) , \( i + 1\) , \( 65 i - 8\) , \( -168 i - 129\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i+1\right){x}^{2}+\left(65i-8\right){x}-168i-129$ |
| 67600.4-c1 |
67600.4-c |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{9} \cdot 13^{9} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.317039678$ |
0.634079357 |
\( \frac{47255552}{3125} a - \frac{92655616}{3125} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -456 i - 758\) , \( 8016 i + 7137\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-456i-758\right){x}+8016i+7137$ |
| 67600.4-c2 |
67600.4-c |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{12} \cdot 13^{9} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.317039678$ |
0.634079357 |
\( -\frac{9994402464}{9765625} a + \frac{3785081552}{9765625} \) |
\( \bigl[i + 1\) , \( -i - 1\) , \( i + 1\) , \( -104 i + 386\) , \( 1923 i + 3129\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-104i+386\right){x}+1923i+3129$ |
| 67600.4-d1 |
67600.4-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{10} \cdot 13^{6} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1.129245912$ |
$0.415593726$ |
3.754460134 |
\( -\frac{35999730234}{390625} a - \frac{51700389912}{390625} \) |
\( \bigl[i + 1\) , \( i\) , \( 0\) , \( 369 i - 577\) , \( 4944 i - 4713\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(369i-577\right){x}+4944i-4713$ |
| 67600.4-d2 |
67600.4-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{10} \cdot 13^{6} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{8} \) |
$0.282311478$ |
$0.415593726$ |
3.754460134 |
\( \frac{35999730234}{390625} a - \frac{51700389912}{390625} \) |
\( \bigl[i + 1\) , \( i\) , \( 0\) , \( 669 i + 143\) , \( -3068 i - 6501\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(669i+143\right){x}-3068i-6501$ |
| 67600.4-d3 |
67600.4-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{8} \cdot 13^{6} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.564622956$ |
$0.831187453$ |
3.754460134 |
\( \frac{237276}{625} \) |
\( \bigl[i + 1\) , \( i\) , \( 0\) , \( 39 i - 17\) , \( 30 i - 215\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(39i-17\right){x}+30i-215$ |
| 67600.4-d4 |
67600.4-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{11} \cdot 5^{17} \cdot 13^{6} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.564622956$ |
$0.207796863$ |
3.754460134 |
\( -\frac{22845545233191}{152587890625} a + \frac{135893651813613}{152587890625} \) |
\( \bigl[i + 1\) , \( i\) , \( 0\) , \( 699 i + 553\) , \( -9660 i - 825\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(699i+553\right){x}-9660i-825$ |
| 67600.4-d5 |
67600.4-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{11} \cdot 5^{17} \cdot 13^{6} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$2.258491824$ |
$0.207796863$ |
3.754460134 |
\( \frac{22845545233191}{152587890625} a + \frac{135893651813613}{152587890625} \) |
\( \bigl[i + 1\) , \( i\) , \( 0\) , \( 99 i - 887\) , \( 8940 i + 3255\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(99i-887\right){x}+8940i+3255$ |
| 67600.4-d6 |
67600.4-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{4} \cdot 13^{6} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1.129245912$ |
$1.662374906$ |
3.754460134 |
\( \frac{148176}{25} \) |
\( \bigl[i + 1\) , \( i\) , \( 0\) , \( -21 i + 8\) , \( 11 i - 24\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(-21i+8\right){x}+11i-24$ |
| 67600.4-d7 |
67600.4-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 13^{6} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$2.258491824$ |
$1.662374906$ |
3.754460134 |
\( \frac{55296}{5} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 24 i - 10\) , \( -46 i - 9\bigr] \) |
${y}^2={x}^{3}+\left(24i-10\right){x}-46i-9$ |
| 67600.4-d8 |
67600.4-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 13^{6} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$2.258491824$ |
$0.831187453$ |
3.754460134 |
\( \frac{132304644}{5} \) |
\( \bigl[i + 1\) , \( i\) , \( 0\) , \( -321 i + 133\) , \( 546 i - 2289\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(-321i+133\right){x}+546i-2289$ |
| 67600.4-d9 |
67600.4-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{11} \cdot 5^{5} \cdot 13^{6} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$4$ |
\( 2^{4} \) |
$0.564622956$ |
$0.207796863$ |
3.754460134 |
\( -\frac{15332659200009}{625} a + \frac{5763174879987}{625} \) |
\( \bigl[i + 1\) , \( i\) , \( 0\) , \( 10719 i + 2293\) , \( -198588 i - 399361\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(10719i+2293\right){x}-198588i-399361$ |
| 67600.4-d10 |
67600.4-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{11} \cdot 5^{5} \cdot 13^{6} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$2.258491824$ |
$0.207796863$ |
3.754460134 |
\( \frac{15332659200009}{625} a + \frac{5763174879987}{625} \) |
\( \bigl[i + 1\) , \( i\) , \( 0\) , \( 5919 i - 9227\) , \( 328884 i - 292633\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(5919i-9227\right){x}+328884i-292633$ |
| 67600.4-e1 |
67600.4-e |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{3} \cdot 13^{7} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.371256731$ |
$0.886875428$ |
4.864535603 |
\( \frac{43261952}{325} a - \frac{129542144}{325} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -42 i - 170\) , \( -394 i - 877\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(-42i-170\right){x}-394i-877$ |
| 67600.4-e2 |
67600.4-e |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{9} \cdot 13^{7} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.371256731$ |
$0.443437714$ |
4.864535603 |
\( -\frac{329359844912}{5078125} a - \frac{470870678516}{5078125} \) |
\( \bigl[i + 1\) , \( -i - 1\) , \( i + 1\) , \( -325 i + 464\) , \( 3190 i + 3939\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-325i+464\right){x}+3190i+3939$ |
| 67600.4-e3 |
67600.4-e |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{6} \cdot 13^{8} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$2.742513462$ |
$0.886875428$ |
4.864535603 |
\( \frac{34602624}{105625} a + \frac{89434832}{105625} \) |
\( \bigl[i + 1\) , \( -i - 1\) , \( i + 1\) , \( -5 i + 49\) , \( -71 i + 101\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-5i+49\right){x}-71i+101$ |
| 67600.4-e4 |
67600.4-e |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{6} \cdot 13^{10} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1.371256731$ |
$0.443437714$ |
4.864535603 |
\( -\frac{17012483856}{17850625} a + \frac{53748185108}{17850625} \) |
\( \bigl[i + 1\) , \( -i - 1\) , \( i + 1\) , \( 75 i - 266\) , \( -674 i + 1155\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(75i-266\right){x}-674i+1155$ |
| 67600.4-e5 |
67600.4-e |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{3} \cdot 13^{14} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$2.742513462$ |
$0.221718857$ |
4.864535603 |
\( \frac{263319363133844}{20393268025} a + \frac{443594369492878}{20393268025} \) |
\( \bigl[i + 1\) , \( -i - 1\) , \( i + 1\) , \( 175 i - 1716\) , \( 3816 i - 25925\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(175i-1716\right){x}+3816i-25925$ |
| 67600.4-e6 |
67600.4-e |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{9} \cdot 13^{8} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.685628365$ |
$0.221718857$ |
4.864535603 |
\( -\frac{286134796876244}{66015625} a + \frac{251971335359842}{66015625} \) |
\( \bigl[i + 1\) , \( -i - 1\) , \( i + 1\) , \( 1255 i - 3856\) , \( -44996 i + 90011\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(1255i-3856\right){x}-44996i+90011$ |
| 67600.4-f1 |
67600.4-f |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{5} \cdot 13^{6} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.890723105$ |
1.781446210 |
\( -\frac{59648644}{625} a - \frac{119744792}{625} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( 155 i + 5\) , \( 454 i + 481\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(155i+5\right){x}+454i+481$ |
| 67600.4-f2 |
67600.4-f |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{5} \cdot 13^{6} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.890723105$ |
1.781446210 |
\( \frac{59648644}{625} a - \frac{119744792}{625} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( 105 i - 115\) , \( -770 i + 315\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(105i-115\right){x}-770i+315$ |
| 67600.4-f3 |
67600.4-f |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{15} \cdot 13^{6} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.296907701$ |
1.781446210 |
\( -\frac{893935595564}{244140625} a - \frac{1336401187352}{244140625} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( 285 i + 655\) , \( 7150 i - 4675\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(285i+655\right){x}+7150i-4675$ |
| 67600.4-f4 |
67600.4-f |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{15} \cdot 13^{6} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.296907701$ |
1.781446210 |
\( \frac{893935595564}{244140625} a - \frac{1336401187352}{244140625} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( -265 i - 665\) , \( -5026 i - 6249\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-265i-665\right){x}-5026i-6249$ |
| 67600.4-f5 |
67600.4-f |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{12} \cdot 13^{6} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.593815403$ |
1.781446210 |
\( -\frac{20720464}{15625} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( -110 i + 45\) , \( 203 i - 696\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-110i+45\right){x}+203i-696$ |
| 67600.4-f6 |
67600.4-f |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{4} \cdot 13^{6} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{4} \) |
$1$ |
$1.781446210$ |
1.781446210 |
\( \frac{21296}{25} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( 10 i - 5\) , \( -9 i + 12\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(10i-5\right){x}-9i+12$ |
| 67600.4-f7 |
67600.4-f |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 13^{6} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.781446210$ |
1.781446210 |
\( \frac{16384}{5} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 16 i - 7\) , \( -21 i - 9\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(16i-7\right){x}-21i-9$ |
| 67600.4-f8 |
67600.4-f |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{6} \cdot 13^{6} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.593815403$ |
1.781446210 |
\( \frac{488095744}{125} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 496 i - 207\) , \( 4635 i + 755\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(496i-207\right){x}+4635i+755$ |
| 67600.4-g1 |
67600.4-g |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{15} \cdot 5^{9} \cdot 13^{10} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.169135944$ |
2.029631328 |
\( -\frac{2412409957}{62500} a - \frac{352209201}{62500} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( 2210 i - 2330\) , \( 62584 i - 28364\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(2210i-2330\right){x}+62584i-28364$ |
| 67600.4-g2 |
67600.4-g |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{13} \cdot 5^{3} \cdot 13^{10} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{2} \) |
$1$ |
$0.507407832$ |
2.029631328 |
\( -\frac{40729}{50} a + \frac{80613}{50} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( -170 i + 70\) , \( 560 i - 380\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-170i+70\right){x}+560i-380$ |
| 67600.4-h1 |
67600.4-h |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{19} \cdot 5^{7} \cdot 13^{8} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \) |
$0.062746849$ |
$0.324664687$ |
4.889204672 |
\( \frac{2255889}{50000} a + \frac{83040173}{50000} \) |
\( \bigl[i + 1\) , \( i + 1\) , \( 0\) , \( 146 i + 418\) , \( 408 i + 844\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(146i+418\right){x}+408i+844$ |
| 67600.4-i1 |
67600.4-i |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{4} \cdot 13^{10} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$2.333124948$ |
$0.330657329$ |
4.628789192 |
\( -\frac{6278960157372}{3570125} a - \frac{12247085251904}{3570125} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( -892 i + 1483\) , \( -18047 i - 20125\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-892i+1483\right){x}-18047i-20125$ |
| 67600.4-i2 |
67600.4-i |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{7} \cdot 13^{7} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \cdot 3 \) |
$0.583281237$ |
$0.661314659$ |
4.628789192 |
\( -\frac{109985792}{8125} a - \frac{102465536}{8125} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 180 i - 19\) , \( -769 i - 655\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(180i-19\right){x}-769i-655$ |
| 67600.4-i3 |
67600.4-i |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{4} \cdot 13^{18} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$6.999374845$ |
$0.110219109$ |
4.628789192 |
\( -\frac{40605232846917732}{2912260640310125} a + \frac{15507117639303424}{2912260640310125} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( 698 i - 447\) , \( -62165 i - 77539\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}+\left(698i-447\right){x}-62165i-77539$ |
| 67600.4-i4 |
67600.4-i |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{8} \cdot 13^{8} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1.166562474$ |
$0.661314659$ |
4.628789192 |
\( \frac{4789923264}{2640625} a + \frac{673064048}{2640625} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( -67 i + 83\) , \( -332 i - 255\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-67i+83\right){x}-332i-255$ |
| 67600.4-i5 |
67600.4-i |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{13} \cdot 13^{7} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$2.333124948$ |
$0.330657329$ |
4.628789192 |
\( -\frac{6814517046148}{3173828125} a + \frac{1205241786064}{3173828125} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( 438 i - 57\) , \( -2395 i - 3381\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}+\left(438i-57\right){x}-2395i-3381$ |
| 67600.4-i6 |
67600.4-i |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{13} \cdot 13^{9} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \cdot 3 \) |
$1.749843711$ |
$0.220438219$ |
4.628789192 |
\( -\frac{107236037214208}{536376953125} a + \frac{978770751225856}{536376953125} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -980 i - 99\) , \( -4137 i + 861\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-980i-99\right){x}-4137i+861$ |
| 67600.4-i7 |
67600.4-i |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{8} \cdot 13^{12} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$3.499687422$ |
$0.220438219$ |
4.628789192 |
\( \frac{4259875740810816}{75418890625} a + \frac{6940682724261488}{75418890625} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( 2273 i - 47\) , \( -31130 i - 29419\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}+\left(2273i-47\right){x}-31130i-29419$ |
| 67600.4-i8 |
67600.4-i |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
67600.4 |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{7} \cdot 13^{9} \) |
$2.88174$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$6.999374845$ |
$0.110219109$ |
4.628789192 |
\( \frac{14159685840327748}{1373125} a + \frac{7060801251114256}{1373125} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( 36328 i - 787\) , \( -1958033 i - 1841015\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}+\left(36328i-787\right){x}-1958033i-1841015$ |
*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.
