| 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 |
| 11.1-a1 |
11.1-a |
$4$ |
$4$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
11.1 |
\( 11 \) |
\( 11^{2} \) |
$8.71677$ |
$(a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2 \) |
$1$ |
$1101.274484$ |
1.904418724 |
\( \frac{164453}{121} a^{3} + \frac{516260}{121} a^{2} - \frac{204569}{121} a - \frac{678411}{121} \) |
\( \bigl[a^{2} - 4\) , \( -\frac{1}{2} a^{3} + 2 a^{2} + a - \frac{15}{2}\) , \( a\) , \( -3 a^{3} + 8 a^{2} + 15 a - 22\) , \( \frac{3}{2} a^{3} - 2 a^{2} - 5 a + \frac{11}{2}\bigr] \) |
${y}^2+\left(a^{2}-4\right){x}{y}+a{y}={x}^{3}+\left(-\frac{1}{2}a^{3}+2a^{2}+a-\frac{15}{2}\right){x}^{2}+\left(-3a^{3}+8a^{2}+15a-22\right){x}+\frac{3}{2}a^{3}-2a^{2}-5a+\frac{11}{2}$ |
| 11.1-a2 |
11.1-a |
$4$ |
$4$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
11.1 |
\( 11 \) |
\( 11 \) |
$8.71677$ |
$(a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 1 \) |
$1$ |
$550.6372423$ |
1.904418724 |
\( -\frac{14012334}{11} a^{3} + \frac{40398309}{11} a^{2} + \frac{36029602}{11} a - \frac{81839346}{11} \) |
\( \bigl[a\) , \( -a^{2} + a + 5\) , \( -\frac{1}{2} a^{3} + 2 a^{2} + 2 a - \frac{13}{2}\) , \( -3 a^{3} - 4 a^{2} + 9 a + 11\) , \( \frac{3}{2} a^{3} + 6 a^{2} + a - \frac{19}{2}\bigr] \) |
${y}^2+a{x}{y}+\left(-\frac{1}{2}a^{3}+2a^{2}+2a-\frac{13}{2}\right){y}={x}^{3}+\left(-a^{2}+a+5\right){x}^{2}+\left(-3a^{3}-4a^{2}+9a+11\right){x}+\frac{3}{2}a^{3}+6a^{2}+a-\frac{19}{2}$ |
| 11.1-a3 |
11.1-a |
$4$ |
$4$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
11.1 |
\( 11 \) |
\( - 11^{4} \) |
$8.71677$ |
$(a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 2 \) |
$1$ |
$68.82965529$ |
1.904418724 |
\( \frac{1714684567726}{14641} a^{3} + \frac{3600601634599}{14641} a^{2} - \frac{2510907050724}{14641} a - \frac{6046469440552}{14641} \) |
\( \bigl[\frac{1}{2} a^{3} - a^{2} - a + \frac{5}{2}\) , \( a^{2} - 2 a - 3\) , \( \frac{1}{2} a^{3} - a^{2} - 2 a + \frac{5}{2}\) , \( -\frac{25}{2} a^{3} + 35 a^{2} + 42 a - \frac{171}{2}\) , \( -16 a^{3} + 40 a^{2} + 72 a - 123\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}-a^{2}-a+\frac{5}{2}\right){x}{y}+\left(\frac{1}{2}a^{3}-a^{2}-2a+\frac{5}{2}\right){y}={x}^{3}+\left(a^{2}-2a-3\right){x}^{2}+\left(-\frac{25}{2}a^{3}+35a^{2}+42a-\frac{171}{2}\right){x}-16a^{3}+40a^{2}+72a-123$ |
| 11.1-a4 |
11.1-a |
$4$ |
$4$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
11.1 |
\( 11 \) |
\( -11 \) |
$8.71677$ |
$(a)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 1 \) |
$1$ |
$2202.548969$ |
1.904418724 |
\( \frac{125868}{11} a^{3} - \frac{548499}{11} a^{2} - \frac{301074}{11} a + \frac{2455030}{11} \) |
\( \bigl[\frac{1}{2} a^{3} - a^{2} - 2 a + \frac{7}{2}\) , \( a - 1\) , \( -\frac{1}{2} a^{3} + 2 a^{2} + 2 a - \frac{13}{2}\) , \( \frac{1}{2} a^{3} - a^{2} - 3 a + \frac{7}{2}\) , \( -\frac{1}{2} a^{3} + a^{2} + 2 a - \frac{7}{2}\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}-a^{2}-2a+\frac{7}{2}\right){x}{y}+\left(-\frac{1}{2}a^{3}+2a^{2}+2a-\frac{13}{2}\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(\frac{1}{2}a^{3}-a^{2}-3a+\frac{7}{2}\right){x}-\frac{1}{2}a^{3}+a^{2}+2a-\frac{7}{2}$ |
| 11.1-b1 |
11.1-b |
$4$ |
$4$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
11.1 |
\( 11 \) |
\( -11 \) |
$8.71677$ |
$(a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 1 \) |
$0.041760220$ |
$2108.988015$ |
1.218410824 |
\( \frac{125868}{11} a^{3} - \frac{548499}{11} a^{2} - \frac{301074}{11} a + \frac{2455030}{11} \) |
\( \bigl[-\frac{1}{2} a^{3} + 2 a^{2} + 2 a - \frac{11}{2}\) , \( -\frac{1}{2} a^{3} + a^{2} + 2 a - \frac{3}{2}\) , \( a^{2} - a - 3\) , \( a^{3} - 3 a^{2} - a + 4\) , \( -2 a^{3} + 6 a^{2} + 7 a - 16\bigr] \) |
${y}^2+\left(-\frac{1}{2}a^{3}+2a^{2}+2a-\frac{11}{2}\right){x}{y}+\left(a^{2}-a-3\right){y}={x}^{3}+\left(-\frac{1}{2}a^{3}+a^{2}+2a-\frac{3}{2}\right){x}^{2}+\left(a^{3}-3a^{2}-a+4\right){x}-2a^{3}+6a^{2}+7a-16$ |
| 11.1-b2 |
11.1-b |
$4$ |
$4$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
11.1 |
\( 11 \) |
\( 11^{2} \) |
$8.71677$ |
$(a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2 \) |
$0.083520441$ |
$2108.988015$ |
1.218410824 |
\( \frac{164453}{121} a^{3} + \frac{516260}{121} a^{2} - \frac{204569}{121} a - \frac{678411}{121} \) |
\( \bigl[-\frac{1}{2} a^{3} + 2 a^{2} + 2 a - \frac{11}{2}\) , \( -a^{2} + a + 3\) , \( -\frac{1}{2} a^{3} + 2 a^{2} + a - \frac{11}{2}\) , \( -\frac{1}{2} a^{3} + a^{2} + 2 a - \frac{7}{2}\) , \( \frac{1}{2} a^{3} - a^{2} - 2 a + \frac{1}{2}\bigr] \) |
${y}^2+\left(-\frac{1}{2}a^{3}+2a^{2}+2a-\frac{11}{2}\right){x}{y}+\left(-\frac{1}{2}a^{3}+2a^{2}+a-\frac{11}{2}\right){y}={x}^{3}+\left(-a^{2}+a+3\right){x}^{2}+\left(-\frac{1}{2}a^{3}+a^{2}+2a-\frac{7}{2}\right){x}+\frac{1}{2}a^{3}-a^{2}-2a+\frac{1}{2}$ |
| 11.1-b3 |
11.1-b |
$4$ |
$4$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
11.1 |
\( 11 \) |
\( - 11^{4} \) |
$8.71677$ |
$(a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.041760220$ |
$527.2470037$ |
1.218410824 |
\( \frac{1714684567726}{14641} a^{3} + \frac{3600601634599}{14641} a^{2} - \frac{2510907050724}{14641} a - \frac{6046469440552}{14641} \) |
\( \bigl[a\) , \( -a^{3} + 3 a^{2} + 4 a - 10\) , \( a^{2} - a - 3\) , \( \frac{25}{2} a^{3} + a^{2} - 94 a - \frac{187}{2}\) , \( 56 a^{3} + 13 a^{2} - 427 a - 478\bigr] \) |
${y}^2+a{x}{y}+\left(a^{2}-a-3\right){y}={x}^{3}+\left(-a^{3}+3a^{2}+4a-10\right){x}^{2}+\left(\frac{25}{2}a^{3}+a^{2}-94a-\frac{187}{2}\right){x}+56a^{3}+13a^{2}-427a-478$ |
| 11.1-b4 |
11.1-b |
$4$ |
$4$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
11.1 |
\( 11 \) |
\( 11 \) |
$8.71677$ |
$(a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 1 \) |
$0.167040882$ |
$527.2470037$ |
1.218410824 |
\( -\frac{14012334}{11} a^{3} + \frac{40398309}{11} a^{2} + \frac{36029602}{11} a - \frac{81839346}{11} \) |
\( \bigl[\frac{1}{2} a^{3} - a^{2} - a + \frac{5}{2}\) , \( -1\) , \( \frac{1}{2} a^{3} - a^{2} - 2 a + \frac{5}{2}\) , \( \frac{3}{2} a^{3} - 5 a^{2} - 4 a + \frac{21}{2}\) , \( \frac{3}{2} a^{3} - 6 a^{2} - 4 a + \frac{23}{2}\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}-a^{2}-a+\frac{5}{2}\right){x}{y}+\left(\frac{1}{2}a^{3}-a^{2}-2a+\frac{5}{2}\right){y}={x}^{3}-{x}^{2}+\left(\frac{3}{2}a^{3}-5a^{2}-4a+\frac{21}{2}\right){x}+\frac{3}{2}a^{3}-6a^{2}-4a+\frac{23}{2}$ |
| 11.2-a1 |
11.2-a |
$4$ |
$4$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
11.2 |
\( 11 \) |
\( 11 \) |
$8.71677$ |
$(1/2a^3-2a^2-a+13/2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 1 \) |
$1$ |
$550.6372423$ |
1.904418724 |
\( -\frac{10923479}{22} a^{3} - \frac{1450162}{11} a^{2} + \frac{41866692}{11} a + \frac{8641657}{2} \) |
\( \bigl[-\frac{1}{2} a^{3} + 2 a^{2} + a - \frac{13}{2}\) , \( a^{3} - 3 a^{2} - 4 a + 8\) , \( 0\) , \( -a^{3} + 3 a^{2} + 4 a - 8\) , \( -\frac{3}{2} a^{3} + 4 a^{2} + 6 a - \frac{27}{2}\bigr] \) |
${y}^2+\left(-\frac{1}{2}a^{3}+2a^{2}+a-\frac{13}{2}\right){x}{y}={x}^{3}+\left(a^{3}-3a^{2}-4a+8\right){x}^{2}+\left(-a^{3}+3a^{2}+4a-8\right){x}-\frac{3}{2}a^{3}+4a^{2}+6a-\frac{27}{2}$ |
| 11.2-a2 |
11.2-a |
$4$ |
$4$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
11.2 |
\( 11 \) |
\( 11^{2} \) |
$8.71677$ |
$(1/2a^3-2a^2-a+13/2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2 \) |
$1$ |
$1101.274484$ |
1.904418724 |
\( \frac{3317647}{242} a^{3} - \frac{4162813}{121} a^{2} - \frac{7088537}{121} a + \frac{2310837}{22} \) |
\( \bigl[-\frac{1}{2} a^{3} + 2 a^{2} + 2 a - \frac{11}{2}\) , \( a^{2} - 3\) , \( 0\) , \( a^{3} + 2 a^{2} - 2 a - 4\) , \( 0\bigr] \) |
${y}^2+\left(-\frac{1}{2}a^{3}+2a^{2}+2a-\frac{11}{2}\right){x}{y}={x}^{3}+\left(a^{2}-3\right){x}^{2}+\left(a^{3}+2a^{2}-2a-4\right){x}$ |
| 11.2-a3 |
11.2-a |
$4$ |
$4$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
11.2 |
\( 11 \) |
\( - 11^{4} \) |
$8.71677$ |
$(1/2a^3-2a^2-a+13/2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 2 \) |
$1$ |
$68.82965529$ |
1.904418724 |
\( \frac{28867112665785}{29282} a^{3} - \frac{35897083435836}{14641} a^{2} - \frac{62082056551750}{14641} a + \frac{19410488141025}{2662} \) |
\( \bigl[-\frac{1}{2} a^{3} + 2 a^{2} + 2 a - \frac{11}{2}\) , \( a^{2} - 3\) , \( 0\) , \( -4 a^{3} - 8 a^{2} + 8 a + 16\) , \( -\frac{95}{2} a^{3} - 101 a^{2} + 67 a + \frac{333}{2}\bigr] \) |
${y}^2+\left(-\frac{1}{2}a^{3}+2a^{2}+2a-\frac{11}{2}\right){x}{y}={x}^{3}+\left(a^{2}-3\right){x}^{2}+\left(-4a^{3}-8a^{2}+8a+16\right){x}-\frac{95}{2}a^{3}-101a^{2}+67a+\frac{333}{2}$ |
| 11.2-a4 |
11.2-a |
$4$ |
$4$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
11.2 |
\( 11 \) |
\( -11 \) |
$8.71677$ |
$(1/2a^3-2a^2-a+13/2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 1 \) |
$1$ |
$2202.548969$ |
1.904418724 |
\( -\frac{436155}{22} a^{3} + \frac{732918}{11} a^{2} + \frac{669912}{11} a - \frac{244007}{2} \) |
\( \bigl[\frac{1}{2} a^{3} - a^{2} - 2 a + \frac{7}{2}\) , \( \frac{1}{2} a^{3} - a^{2} - 3 a + \frac{3}{2}\) , \( a^{2} - 3\) , \( a^{3} - 4 a^{2} - 4 a + 12\) , \( -a^{2} - a + 2\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}-a^{2}-2a+\frac{7}{2}\right){x}{y}+\left(a^{2}-3\right){y}={x}^{3}+\left(\frac{1}{2}a^{3}-a^{2}-3a+\frac{3}{2}\right){x}^{2}+\left(a^{3}-4a^{2}-4a+12\right){x}-a^{2}-a+2$ |
| 11.2-b1 |
11.2-b |
$4$ |
$4$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
11.2 |
\( 11 \) |
\( 11 \) |
$8.71677$ |
$(1/2a^3-2a^2-a+13/2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 1 \) |
$0.167040882$ |
$527.2470037$ |
1.218410824 |
\( -\frac{10923479}{22} a^{3} - \frac{1450162}{11} a^{2} + \frac{41866692}{11} a + \frac{8641657}{2} \) |
\( \bigl[-\frac{1}{2} a^{3} + 2 a^{2} + a - \frac{11}{2}\) , \( a^{3} - 3 a^{2} - 3 a + 10\) , \( a^{2} - a - 3\) , \( \frac{11}{2} a^{3} - 4 a^{2} - 35 a - \frac{37}{2}\) , \( 18 a^{3} + 3 a^{2} - 136 a - 148\bigr] \) |
${y}^2+\left(-\frac{1}{2}a^{3}+2a^{2}+a-\frac{11}{2}\right){x}{y}+\left(a^{2}-a-3\right){y}={x}^{3}+\left(a^{3}-3a^{2}-3a+10\right){x}^{2}+\left(\frac{11}{2}a^{3}-4a^{2}-35a-\frac{37}{2}\right){x}+18a^{3}+3a^{2}-136a-148$ |
| 11.2-b2 |
11.2-b |
$4$ |
$4$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
11.2 |
\( 11 \) |
\( 11^{2} \) |
$8.71677$ |
$(1/2a^3-2a^2-a+13/2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2 \) |
$0.083520441$ |
$2108.988015$ |
1.218410824 |
\( \frac{3317647}{242} a^{3} - \frac{4162813}{121} a^{2} - \frac{7088537}{121} a + \frac{2310837}{22} \) |
\( \bigl[a^{2} - 4\) , \( a - 1\) , \( -\frac{1}{2} a^{3} + 2 a^{2} + a - \frac{11}{2}\) , \( \frac{1}{2} a^{3} + 2 a^{2} - a - \frac{9}{2}\) , \( a^{3} + a^{2} - 2 a - 2\bigr] \) |
${y}^2+\left(a^{2}-4\right){x}{y}+\left(-\frac{1}{2}a^{3}+2a^{2}+a-\frac{11}{2}\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(\frac{1}{2}a^{3}+2a^{2}-a-\frac{9}{2}\right){x}+a^{3}+a^{2}-2a-2$ |
| 11.2-b3 |
11.2-b |
$4$ |
$4$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
11.2 |
\( 11 \) |
\( - 11^{4} \) |
$8.71677$ |
$(1/2a^3-2a^2-a+13/2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.041760220$ |
$527.2470037$ |
1.218410824 |
\( \frac{28867112665785}{29282} a^{3} - \frac{35897083435836}{14641} a^{2} - \frac{62082056551750}{14641} a + \frac{19410488141025}{2662} \) |
\( \bigl[a^{2} - 4\) , \( a - 1\) , \( -\frac{1}{2} a^{3} + 2 a^{2} + a - \frac{11}{2}\) , \( 3 a^{3} - 8 a^{2} - 6 a + 13\) , \( 7 a^{3} - 19 a^{2} - 21 a + 42\bigr] \) |
${y}^2+\left(a^{2}-4\right){x}{y}+\left(-\frac{1}{2}a^{3}+2a^{2}+a-\frac{11}{2}\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(3a^{3}-8a^{2}-6a+13\right){x}+7a^{3}-19a^{2}-21a+42$ |
| 11.2-b4 |
11.2-b |
$4$ |
$4$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
11.2 |
\( 11 \) |
\( -11 \) |
$8.71677$ |
$(1/2a^3-2a^2-a+13/2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 1 \) |
$0.041760220$ |
$2108.988015$ |
1.218410824 |
\( -\frac{436155}{22} a^{3} + \frac{732918}{11} a^{2} + \frac{669912}{11} a - \frac{244007}{2} \) |
\( \bigl[a^{2} - 4\) , \( \frac{1}{2} a^{3} - 2 a^{2} + \frac{13}{2}\) , \( a^{2} - a - 3\) , \( 3 a^{2} - a - 7\) , \( a^{3} - a^{2} - 3 a + 1\bigr] \) |
${y}^2+\left(a^{2}-4\right){x}{y}+\left(a^{2}-a-3\right){y}={x}^{3}+\left(\frac{1}{2}a^{3}-2a^{2}+\frac{13}{2}\right){x}^{2}+\left(3a^{2}-a-7\right){x}+a^{3}-a^{2}-3a+1$ |
| 19.1-a1 |
19.1-a |
$4$ |
$4$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
19.1 |
\( 19 \) |
\( 19^{12} \) |
$9.33310$ |
$(1/2a^3-2a^2+7/2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3Ns |
$4$ |
\( 2 \) |
$1$ |
$47.25872253$ |
1.307581676 |
\( -\frac{158350423230}{47045881} a^{3} + \frac{316700846460}{47045881} a^{2} + \frac{633401692920}{47045881} a - \frac{277948698445}{47045881} \) |
\( \bigl[a^{2} - 4\) , \( \frac{1}{2} a^{3} - 2 a^{2} - a + \frac{13}{2}\) , \( 1\) , \( \frac{11}{2} a^{3} - 14 a^{2} - 18 a + \frac{83}{2}\) , \( \frac{83}{2} a^{3} - 103 a^{2} - 175 a + \frac{609}{2}\bigr] \) |
${y}^2+\left(a^{2}-4\right){x}{y}+{y}={x}^{3}+\left(\frac{1}{2}a^{3}-2a^{2}-a+\frac{13}{2}\right){x}^{2}+\left(\frac{11}{2}a^{3}-14a^{2}-18a+\frac{83}{2}\right){x}+\frac{83}{2}a^{3}-103a^{2}-175a+\frac{609}{2}$ |
| 19.1-a2 |
19.1-a |
$4$ |
$4$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
19.1 |
\( 19 \) |
\( - 19^{3} \) |
$9.33310$ |
$(1/2a^3-2a^2+7/2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3Ns |
$1$ |
\( 1 \) |
$1$ |
$1512.279120$ |
1.307581676 |
\( \frac{25643510220}{361} a^{3} - \frac{64694326090}{361} a^{2} - \frac{109177664030}{361} a + \frac{195018871155}{361} \) |
\( \bigl[\frac{1}{2} a^{3} - a^{2} - 2 a + \frac{5}{2}\) , \( \frac{1}{2} a^{3} - 2 a^{2} - a + \frac{13}{2}\) , \( a^{2} - a - 3\) , \( -5 a - 6\) , \( \frac{1}{2} a^{3} + a + \frac{7}{2}\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}-a^{2}-2a+\frac{5}{2}\right){x}{y}+\left(a^{2}-a-3\right){y}={x}^{3}+\left(\frac{1}{2}a^{3}-2a^{2}-a+\frac{13}{2}\right){x}^{2}+\left(-5a-6\right){x}+\frac{1}{2}a^{3}+a+\frac{7}{2}$ |
| 19.1-a3 |
19.1-a |
$4$ |
$4$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
19.1 |
\( 19 \) |
\( - 19^{3} \) |
$9.33310$ |
$(1/2a^3-2a^2+7/2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3Ns |
$1$ |
\( 1 \) |
$1$ |
$378.0697802$ |
1.307581676 |
\( \frac{2230740170}{361} a^{3} + \frac{8945825310}{361} a^{2} - \frac{2319337530}{361} a - \frac{15896118645}{361} \) |
\( \bigl[\frac{1}{2} a^{3} - a^{2} - a + \frac{5}{2}\) , \( \frac{1}{2} a^{3} - a^{2} - 2 a + \frac{5}{2}\) , \( -\frac{1}{2} a^{3} + 2 a^{2} + a - \frac{11}{2}\) , \( -3 a^{3} + 2 a^{2} + 21 a + 16\) , \( -8 a^{3} - 2 a^{2} + 63 a + 70\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}-a^{2}-a+\frac{5}{2}\right){x}{y}+\left(-\frac{1}{2}a^{3}+2a^{2}+a-\frac{11}{2}\right){y}={x}^{3}+\left(\frac{1}{2}a^{3}-a^{2}-2a+\frac{5}{2}\right){x}^{2}+\left(-3a^{3}+2a^{2}+21a+16\right){x}-8a^{3}-2a^{2}+63a+70$ |
| 19.1-a4 |
19.1-a |
$4$ |
$4$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
19.1 |
\( 19 \) |
\( 19^{6} \) |
$9.33310$ |
$(1/2a^3-2a^2+7/2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3Ns |
$1$ |
\( 2 \) |
$1$ |
$756.1395604$ |
1.307581676 |
\( \frac{23159620}{6859} a^{3} - \frac{46319240}{6859} a^{2} - \frac{92638480}{6859} a + \frac{176163455}{6859} \) |
\( \bigl[\frac{1}{2} a^{3} - a^{2} - a + \frac{5}{2}\) , \( \frac{1}{2} a^{3} - a^{2} - a + \frac{5}{2}\) , \( a^{2} - a - 3\) , \( 2 a^{3} - 3 a^{2} - 3 a + 5\) , \( -\frac{5}{2} a^{3} + 12 a^{2} + 6 a - \frac{47}{2}\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}-a^{2}-a+\frac{5}{2}\right){x}{y}+\left(a^{2}-a-3\right){y}={x}^{3}+\left(\frac{1}{2}a^{3}-a^{2}-a+\frac{5}{2}\right){x}^{2}+\left(2a^{3}-3a^{2}-3a+5\right){x}-\frac{5}{2}a^{3}+12a^{2}+6a-\frac{47}{2}$ |
| 19.1-b1 |
19.1-b |
$1$ |
$1$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
19.1 |
\( 19 \) |
\( 19^{3} \) |
$9.33310$ |
$(1/2a^3-2a^2+7/2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3Ns |
$1$ |
\( 1 \) |
$1$ |
$28.24480881$ |
0.390746855 |
\( -\frac{79308302275}{361} a^{3} - \frac{167050775065}{361} a^{2} + \frac{115995160575}{361} a + \frac{281112069053}{361} \) |
\( \bigl[a^{2} - 3\) , \( a^{3} - 3 a^{2} - 2 a + 8\) , \( a^{2} - 4\) , \( \frac{1}{2} a^{3} + 3 a^{2} - \frac{7}{2}\) , \( 2 a^{3} + 2 a^{2} - 4 a - 2\bigr] \) |
${y}^2+\left(a^{2}-3\right){x}{y}+\left(a^{2}-4\right){y}={x}^{3}+\left(a^{3}-3a^{2}-2a+8\right){x}^{2}+\left(\frac{1}{2}a^{3}+3a^{2}-\frac{7}{2}\right){x}+2a^{3}+2a^{2}-4a-2$ |
| 19.1-c1 |
19.1-c |
$1$ |
$1$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
19.1 |
\( 19 \) |
\( 19^{3} \) |
$9.33310$ |
$(1/2a^3-2a^2+7/2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3Ns |
$1$ |
\( 1 \) |
$1$ |
$149.1322460$ |
2.063138632 |
\( -\frac{668428395960}{361} a^{3} + \frac{1662524171535}{361} a^{2} + \frac{2874951632365}{361} a - \frac{4944160056677}{361} \) |
\( \bigl[\frac{1}{2} a^{3} - a^{2} - a + \frac{7}{2}\) , \( \frac{1}{2} a^{3} - a^{2} - a + \frac{7}{2}\) , \( a^{2} - a - 4\) , \( -11 a^{3} + 34 a^{2} + 47 a - 87\) , \( \frac{57}{2} a^{3} - 62 a^{2} - 106 a + \frac{345}{2}\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}-a^{2}-a+\frac{7}{2}\right){x}{y}+\left(a^{2}-a-4\right){y}={x}^{3}+\left(\frac{1}{2}a^{3}-a^{2}-a+\frac{7}{2}\right){x}^{2}+\left(-11a^{3}+34a^{2}+47a-87\right){x}+\frac{57}{2}a^{3}-62a^{2}-106a+\frac{345}{2}$ |
| 19.1-d1 |
19.1-d |
$1$ |
$1$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
19.1 |
\( 19 \) |
\( 19^{3} \) |
$9.33310$ |
$(1/2a^3-2a^2+7/2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3Ns |
$1$ |
\( 1 \) |
$1$ |
$28.24480881$ |
0.390746855 |
\( -\frac{668428395960}{361} a^{3} + \frac{1662524171535}{361} a^{2} + \frac{2874951632365}{361} a - \frac{4944160056677}{361} \) |
\( \bigl[-\frac{1}{2} a^{3} + 2 a^{2} + 2 a - \frac{13}{2}\) , \( \frac{1}{2} a^{3} - a^{2} - 2 a + \frac{5}{2}\) , \( a^{2} - a - 4\) , \( a^{3} - 6 a - 4\) , \( -\frac{1}{2} a^{3} + 4 a^{2} + a - \frac{33}{2}\bigr] \) |
${y}^2+\left(-\frac{1}{2}a^{3}+2a^{2}+2a-\frac{13}{2}\right){x}{y}+\left(a^{2}-a-4\right){y}={x}^{3}+\left(\frac{1}{2}a^{3}-a^{2}-2a+\frac{5}{2}\right){x}^{2}+\left(a^{3}-6a-4\right){x}-\frac{1}{2}a^{3}+4a^{2}+a-\frac{33}{2}$ |
| 19.1-e1 |
19.1-e |
$1$ |
$1$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
19.1 |
\( 19 \) |
\( 19^{3} \) |
$9.33310$ |
$(1/2a^3-2a^2+7/2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3Ns |
$1$ |
\( 1 \) |
$1$ |
$149.1322460$ |
2.063138632 |
\( -\frac{79308302275}{361} a^{3} - \frac{167050775065}{361} a^{2} + \frac{115995160575}{361} a + \frac{281112069053}{361} \) |
\( \bigl[a + 1\) , \( a^{3} - 3 a^{2} - 3 a + 10\) , \( a^{2} - 4\) , \( -\frac{3}{2} a^{3} - 6 a^{2} + 9 a + \frac{57}{2}\) , \( \frac{3}{2} a^{3} - 5 a + \frac{1}{2}\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a^{2}-4\right){y}={x}^{3}+\left(a^{3}-3a^{2}-3a+10\right){x}^{2}+\left(-\frac{3}{2}a^{3}-6a^{2}+9a+\frac{57}{2}\right){x}+\frac{3}{2}a^{3}-5a+\frac{1}{2}$ |
| 19.1-f1 |
19.1-f |
$4$ |
$4$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
19.1 |
\( 19 \) |
\( 19^{12} \) |
$9.33310$ |
$(1/2a^3-2a^2+7/2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3Ns |
$4$ |
\( 2 \) |
$1$ |
$47.25872253$ |
1.307581676 |
\( -\frac{158350423230}{47045881} a^{3} + \frac{316700846460}{47045881} a^{2} + \frac{633401692920}{47045881} a - \frac{277948698445}{47045881} \) |
\( \bigl[-\frac{1}{2} a^{3} + 2 a^{2} + 2 a - \frac{11}{2}\) , \( \frac{1}{2} a^{3} - a^{2} - a + \frac{7}{2}\) , \( -\frac{1}{2} a^{3} + 2 a^{2} + a - \frac{11}{2}\) , \( 3 a^{3} + a^{2} - 11 a - 6\) , \( \frac{17}{2} a^{3} + 17 a^{2} - 20 a - \frac{87}{2}\bigr] \) |
${y}^2+\left(-\frac{1}{2}a^{3}+2a^{2}+2a-\frac{11}{2}\right){x}{y}+\left(-\frac{1}{2}a^{3}+2a^{2}+a-\frac{11}{2}\right){y}={x}^{3}+\left(\frac{1}{2}a^{3}-a^{2}-a+\frac{7}{2}\right){x}^{2}+\left(3a^{3}+a^{2}-11a-6\right){x}+\frac{17}{2}a^{3}+17a^{2}-20a-\frac{87}{2}$ |
| 19.1-f2 |
19.1-f |
$4$ |
$4$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
19.1 |
\( 19 \) |
\( - 19^{3} \) |
$9.33310$ |
$(1/2a^3-2a^2+7/2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3Ns |
$1$ |
\( 1 \) |
$1$ |
$378.0697802$ |
1.307581676 |
\( \frac{25643510220}{361} a^{3} - \frac{64694326090}{361} a^{2} - \frac{109177664030}{361} a + \frac{195018871155}{361} \) |
\( \bigl[a\) , \( -a^{2} + 4\) , \( a + 1\) , \( -\frac{13}{2} a^{3} + 18 a^{2} + 17 a - \frac{73}{2}\) , \( -\frac{51}{2} a^{3} + 73 a^{2} + 66 a - \frac{299}{2}\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a^{2}+4\right){x}^{2}+\left(-\frac{13}{2}a^{3}+18a^{2}+17a-\frac{73}{2}\right){x}-\frac{51}{2}a^{3}+73a^{2}+66a-\frac{299}{2}$ |
| 19.1-f3 |
19.1-f |
$4$ |
$4$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
19.1 |
\( 19 \) |
\( 19^{6} \) |
$9.33310$ |
$(1/2a^3-2a^2+7/2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3Ns |
$1$ |
\( 2 \) |
$1$ |
$756.1395604$ |
1.307581676 |
\( \frac{23159620}{6859} a^{3} - \frac{46319240}{6859} a^{2} - \frac{92638480}{6859} a + \frac{176163455}{6859} \) |
\( \bigl[a\) , \( \frac{1}{2} a^{3} - 2 a^{2} + \frac{13}{2}\) , \( -\frac{1}{2} a^{3} + 2 a^{2} + a - \frac{11}{2}\) , \( -\frac{1}{2} a^{3} + 3 a^{2} - a - \frac{21}{2}\) , \( \frac{1}{2} a^{3} - a^{2} - 2 a + \frac{1}{2}\bigr] \) |
${y}^2+a{x}{y}+\left(-\frac{1}{2}a^{3}+2a^{2}+a-\frac{11}{2}\right){y}={x}^{3}+\left(\frac{1}{2}a^{3}-2a^{2}+\frac{13}{2}\right){x}^{2}+\left(-\frac{1}{2}a^{3}+3a^{2}-a-\frac{21}{2}\right){x}+\frac{1}{2}a^{3}-a^{2}-2a+\frac{1}{2}$ |
| 19.1-f4 |
19.1-f |
$4$ |
$4$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
19.1 |
\( 19 \) |
\( - 19^{3} \) |
$9.33310$ |
$(1/2a^3-2a^2+7/2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3Ns |
$1$ |
\( 1 \) |
$1$ |
$1512.279120$ |
1.307581676 |
\( \frac{2230740170}{361} a^{3} + \frac{8945825310}{361} a^{2} - \frac{2319337530}{361} a - \frac{15896118645}{361} \) |
\( \bigl[\frac{1}{2} a^{3} - a^{2} - 2 a + \frac{5}{2}\) , \( -\frac{1}{2} a^{3} + 2 a^{2} + a - \frac{11}{2}\) , \( a^{2} - a - 4\) , \( -2 a^{3} + 4 a^{2} + 12 a - 16\) , \( 4 a^{3} - 9 a^{2} - 20 a + 28\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}-a^{2}-2a+\frac{5}{2}\right){x}{y}+\left(a^{2}-a-4\right){y}={x}^{3}+\left(-\frac{1}{2}a^{3}+2a^{2}+a-\frac{11}{2}\right){x}^{2}+\left(-2a^{3}+4a^{2}+12a-16\right){x}+4a^{3}-9a^{2}-20a+28$ |
| 25.1-a1 |
25.1-a |
$2$ |
$2$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
25.1 |
\( 5^{2} \) |
\( 5^{12} \) |
$9.65882$ |
$(a^3-2a^2-4a+4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3Ns |
$1$ |
\( 2 \) |
$1$ |
$185.4745894$ |
1.282954561 |
\( \frac{196733}{25} a^{3} - \frac{393466}{25} a^{2} - \frac{786932}{25} a + \frac{20807876}{125} \) |
\( \bigl[\frac{1}{2} a^{3} - a^{2} - a + \frac{5}{2}\) , \( \frac{1}{2} a^{3} - 2 a^{2} + \frac{13}{2}\) , \( \frac{1}{2} a^{3} - a^{2} - 2 a + \frac{7}{2}\) , \( -\frac{7}{2} a^{3} + 8 a^{2} + 21 a - \frac{53}{2}\) , \( -\frac{21}{2} a^{3} + 26 a^{2} + 50 a - \frac{163}{2}\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}-a^{2}-a+\frac{5}{2}\right){x}{y}+\left(\frac{1}{2}a^{3}-a^{2}-2a+\frac{7}{2}\right){y}={x}^{3}+\left(\frac{1}{2}a^{3}-2a^{2}+\frac{13}{2}\right){x}^{2}+\left(-\frac{7}{2}a^{3}+8a^{2}+21a-\frac{53}{2}\right){x}-\frac{21}{2}a^{3}+26a^{2}+50a-\frac{163}{2}$ |
| 25.1-a2 |
25.1-a |
$2$ |
$2$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
25.1 |
\( 5^{2} \) |
\( 5^{6} \) |
$9.65882$ |
$(a^3-2a^2-4a+4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3Ns |
$1$ |
\( 1 \) |
$1$ |
$370.9491788$ |
1.282954561 |
\( \frac{10096}{25} a^{3} - \frac{20192}{25} a^{2} - \frac{40384}{25} a + \frac{62709}{25} \) |
\( \bigl[\frac{1}{2} a^{3} - a^{2} - a + \frac{5}{2}\) , \( \frac{1}{2} a^{3} - 2 a^{2} + \frac{13}{2}\) , \( \frac{1}{2} a^{3} - a^{2} - 2 a + \frac{7}{2}\) , \( -a^{3} + 3 a^{2} + 6 a - 4\) , \( a^{2} + 2 a - 1\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}-a^{2}-a+\frac{5}{2}\right){x}{y}+\left(\frac{1}{2}a^{3}-a^{2}-2a+\frac{7}{2}\right){y}={x}^{3}+\left(\frac{1}{2}a^{3}-2a^{2}+\frac{13}{2}\right){x}^{2}+\left(-a^{3}+3a^{2}+6a-4\right){x}+a^{2}+2a-1$ |
| 25.1-b1 |
25.1-b |
$2$ |
$2$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
25.1 |
\( 5^{2} \) |
\( 5^{12} \) |
$9.65882$ |
$(a^3-2a^2-4a+4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3Ns |
$1$ |
\( 2 \) |
$1$ |
$185.4745894$ |
1.282954561 |
\( \frac{196733}{25} a^{3} - \frac{393466}{25} a^{2} - \frac{786932}{25} a + \frac{20807876}{125} \) |
\( \bigl[a\) , \( -\frac{1}{2} a^{3} + a^{2} + 3 a - \frac{3}{2}\) , \( 0\) , \( -4 a - 8\) , \( a^{3} - 6 a^{2} - 20 a - 10\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-\frac{1}{2}a^{3}+a^{2}+3a-\frac{3}{2}\right){x}^{2}+\left(-4a-8\right){x}+a^{3}-6a^{2}-20a-10$ |
| 25.1-b2 |
25.1-b |
$2$ |
$2$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
25.1 |
\( 5^{2} \) |
\( 5^{6} \) |
$9.65882$ |
$(a^3-2a^2-4a+4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3Ns |
$1$ |
\( 1 \) |
$1$ |
$370.9491788$ |
1.282954561 |
\( \frac{10096}{25} a^{3} - \frac{20192}{25} a^{2} - \frac{40384}{25} a + \frac{62709}{25} \) |
\( \bigl[a\) , \( -\frac{1}{2} a^{3} + a^{2} + 3 a - \frac{3}{2}\) , \( 0\) , \( a + 2\) , \( 0\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-\frac{1}{2}a^{3}+a^{2}+3a-\frac{3}{2}\right){x}^{2}+\left(a+2\right){x}$ |
| 44.1-a1 |
44.1-a |
$8$ |
$12$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( 2^{24} \cdot 11^{3} \) |
$10.36605$ |
$(a), (a^3-3a^2-3a+8)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2 \cdot 3 \) |
$0.179077590$ |
$175.6376609$ |
2.610760241 |
\( \frac{96328505393134775}{5451776} a^{3} + \frac{202792675200171395}{5451776} a^{2} - \frac{140912691377402235}{5451776} a - \frac{341236580269182695}{5451776} \) |
\( \bigl[-\frac{1}{2} a^{3} + 2 a^{2} + a - \frac{11}{2}\) , \( a^{2} - a - 3\) , \( \frac{1}{2} a^{3} - a^{2} - 2 a + \frac{5}{2}\) , \( -\frac{49}{2} a^{3} + 58 a^{2} + 118 a - \frac{375}{2}\) , \( 182 a^{3} - 463 a^{2} - 731 a + 1287\bigr] \) |
${y}^2+\left(-\frac{1}{2}a^{3}+2a^{2}+a-\frac{11}{2}\right){x}{y}+\left(\frac{1}{2}a^{3}-a^{2}-2a+\frac{5}{2}\right){y}={x}^{3}+\left(a^{2}-a-3\right){x}^{2}+\left(-\frac{49}{2}a^{3}+58a^{2}+118a-\frac{375}{2}\right){x}+182a^{3}-463a^{2}-731a+1287$ |
| 44.1-a2 |
44.1-a |
$8$ |
$12$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( - 2^{6} \cdot 11^{3} \) |
$10.36605$ |
$(a), (a^3-3a^2-3a+8)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B |
$1$ |
\( 3 \) |
$0.716310362$ |
$87.81883045$ |
2.610760241 |
\( \frac{42883295604358332075}{10648} a^{3} - \frac{106658679230971136265}{10648} a^{2} - \frac{184445202825327914955}{10648} a + \frac{317187390222549088865}{10648} \) |
\( \bigl[a^{2} - 4\) , \( \frac{1}{2} a^{3} - a^{2} - 2 a + \frac{7}{2}\) , \( -\frac{1}{2} a^{3} + 2 a^{2} + a - \frac{13}{2}\) , \( -47 a^{3} + 123 a^{2} + 204 a - 380\) , \( \frac{539}{2} a^{3} - 661 a^{2} - 1158 a + \frac{3871}{2}\bigr] \) |
${y}^2+\left(a^{2}-4\right){x}{y}+\left(-\frac{1}{2}a^{3}+2a^{2}+a-\frac{13}{2}\right){y}={x}^{3}+\left(\frac{1}{2}a^{3}-a^{2}-2a+\frac{7}{2}\right){x}^{2}+\left(-47a^{3}+123a^{2}+204a-380\right){x}+\frac{539}{2}a^{3}-661a^{2}-1158a+\frac{3871}{2}$ |
| 44.1-a3 |
44.1-a |
$8$ |
$12$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( - 2^{2} \cdot 11 \) |
$10.36605$ |
$(a), (a^3-3a^2-3a+8)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B |
$1$ |
\( 1 \) |
$0.238770120$ |
$790.3694741$ |
2.610760241 |
\( \frac{18725625}{22} a^{3} + \frac{33946335}{22} a^{2} - \frac{15387165}{11} a - \frac{26625530}{11} \) |
\( \bigl[a^{2} - 4\) , \( \frac{1}{2} a^{3} - a^{2} - 2 a + \frac{7}{2}\) , \( -\frac{1}{2} a^{3} + 2 a^{2} + a - \frac{13}{2}\) , \( \frac{1}{2} a^{3} + 3 a^{2} - a - \frac{15}{2}\) , \( a^{3} + 2 a^{2} - 2 a - 5\bigr] \) |
${y}^2+\left(a^{2}-4\right){x}{y}+\left(-\frac{1}{2}a^{3}+2a^{2}+a-\frac{13}{2}\right){y}={x}^{3}+\left(\frac{1}{2}a^{3}-a^{2}-2a+\frac{7}{2}\right){x}^{2}+\left(\frac{1}{2}a^{3}+3a^{2}-a-\frac{15}{2}\right){x}+a^{3}+2a^{2}-2a-5$ |
| 44.1-a4 |
44.1-a |
$8$ |
$12$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( 2^{8} \cdot 11 \) |
$10.36605$ |
$(a), (a^3-3a^2-3a+8)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2 \) |
$0.059692530$ |
$1580.738948$ |
2.610760241 |
\( -\frac{6073575}{88} a^{3} + \frac{35265355}{176} a^{2} + \frac{15573805}{88} a - \frac{71325555}{176} \) |
\( \bigl[a\) , \( -a^{3} + 3 a^{2} + 4 a - 10\) , \( a^{2} - a - 3\) , \( \frac{35}{2} a^{3} - 44 a^{2} - 75 a + \frac{265}{2}\) , \( -\frac{61}{2} a^{3} + 76 a^{2} + 131 a - \frac{455}{2}\bigr] \) |
${y}^2+a{x}{y}+\left(a^{2}-a-3\right){y}={x}^{3}+\left(-a^{3}+3a^{2}+4a-10\right){x}^{2}+\left(\frac{35}{2}a^{3}-44a^{2}-75a+\frac{265}{2}\right){x}-\frac{61}{2}a^{3}+76a^{2}+131a-\frac{455}{2}$ |
| 44.1-a5 |
44.1-a |
$8$ |
$12$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( - 2^{6} \cdot 11^{12} \) |
$10.36605$ |
$(a), (a^3-3a^2-3a+8)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.716310362$ |
$21.95470761$ |
2.610760241 |
\( -\frac{28953410747113802400653552025}{25107427013768} a^{3} + \frac{83473005206164029082786776435}{25107427013768} a^{2} + \frac{74446688779846789784297290345}{25107427013768} a - \frac{169137353721569990304141626235}{25107427013768} \) |
\( \bigl[1\) , \( -a^{2} + a + 3\) , \( a + 1\) , \( -\frac{129}{2} a^{3} - 148 a^{2} + 87 a + \frac{477}{2}\) , \( 3377 a^{3} + 7086 a^{2} - 4943 a - 11909\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a^{2}+a+3\right){x}^{2}+\left(-\frac{129}{2}a^{3}-148a^{2}+87a+\frac{477}{2}\right){x}+3377a^{3}+7086a^{2}-4943a-11909$ |
| 44.1-a6 |
44.1-a |
$8$ |
$12$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( - 2^{2} \cdot 11^{4} \) |
$10.36605$ |
$(a), (a^3-3a^2-3a+8)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$0.238770120$ |
$197.5923685$ |
2.610760241 |
\( -\frac{2147705677159925}{29282} a^{3} - \frac{569094903431865}{29282} a^{2} + \frac{8230878621153585}{14641} a + \frac{9338027210016795}{14641} \) |
\( \bigl[\frac{1}{2} a^{3} - a^{2} - 2 a + \frac{7}{2}\) , \( a^{2} - 5\) , \( a^{2} - a - 4\) , \( 10 a^{3} + 4 a^{2} - 67 a - 75\) , \( -\frac{103}{2} a^{3} - 20 a^{2} + 375 a + \frac{865}{2}\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}-a^{2}-2a+\frac{7}{2}\right){x}{y}+\left(a^{2}-a-4\right){y}={x}^{3}+\left(a^{2}-5\right){x}^{2}+\left(10a^{3}+4a^{2}-67a-75\right){x}-\frac{103}{2}a^{3}-20a^{2}+375a+\frac{865}{2}$ |
| 44.1-a7 |
44.1-a |
$8$ |
$12$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( 2^{4} \cdot 11^{2} \) |
$10.36605$ |
$(a), (a^3-3a^2-3a+8)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{2} \) |
$0.119385060$ |
$1580.738948$ |
2.610760241 |
\( -\frac{32744225}{484} a^{3} - \frac{4283935}{242} a^{2} + \frac{251313335}{484} a + \frac{71458055}{121} \) |
\( \bigl[\frac{1}{2} a^{3} - a^{2} - 2 a + \frac{7}{2}\) , \( a^{2} - 5\) , \( a^{2} - a - 4\) , \( -a^{2} - 2 a\) , \( -3 a^{3} - 5 a^{2} + 10 a + 16\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}-a^{2}-2a+\frac{7}{2}\right){x}{y}+\left(a^{2}-a-4\right){y}={x}^{3}+\left(a^{2}-5\right){x}^{2}+\left(-a^{2}-2a\right){x}-3a^{3}-5a^{2}+10a+16$ |
| 44.1-a8 |
44.1-a |
$8$ |
$12$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( 2^{12} \cdot 11^{6} \) |
$10.36605$ |
$(a), (a^3-3a^2-3a+8)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.358155181$ |
$175.6376609$ |
2.610760241 |
\( \frac{1674840040983125}{113379904} a^{3} - \frac{3543785856401455}{113379904} a^{2} - \frac{9868397281780385}{113379904} a + \frac{14764437378075555}{113379904} \) |
\( \bigl[\frac{1}{2} a^{3} - a^{2} - 2 a + \frac{7}{2}\) , \( a^{2} - 5\) , \( a^{2} - a - 4\) , \( -10 a^{3} - 31 a^{2} + 3 a + 40\) , \( \frac{191}{2} a^{3} + 192 a^{2} - 151 a - \frac{669}{2}\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}-a^{2}-2a+\frac{7}{2}\right){x}{y}+\left(a^{2}-a-4\right){y}={x}^{3}+\left(a^{2}-5\right){x}^{2}+\left(-10a^{3}-31a^{2}+3a+40\right){x}+\frac{191}{2}a^{3}+192a^{2}-151a-\frac{669}{2}$ |
| 44.1-b1 |
44.1-b |
$8$ |
$12$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( - 2^{6} \cdot 11^{12} \) |
$10.36605$ |
$(a), (a^3-3a^2-3a+8)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2 \cdot 3 \) |
$4.554116642$ |
$6.756452446$ |
2.554059304 |
\( -\frac{28953410747113802400653552025}{25107427013768} a^{3} + \frac{83473005206164029082786776435}{25107427013768} a^{2} + \frac{74446688779846789784297290345}{25107427013768} a - \frac{169137353721569990304141626235}{25107427013768} \) |
\( \bigl[-\frac{1}{2} a^{3} + 2 a^{2} + a - \frac{11}{2}\) , \( -\frac{1}{2} a^{3} + 2 a^{2} + 2 a - \frac{13}{2}\) , \( 0\) , \( \frac{155}{2} a^{3} - 261 a^{2} - 186 a + \frac{991}{2}\) , \( 849 a^{3} - 3036 a^{2} - 2272 a + 6014\bigr] \) |
${y}^2+\left(-\frac{1}{2}a^{3}+2a^{2}+a-\frac{11}{2}\right){x}{y}={x}^{3}+\left(-\frac{1}{2}a^{3}+2a^{2}+2a-\frac{13}{2}\right){x}^{2}+\left(\frac{155}{2}a^{3}-261a^{2}-186a+\frac{991}{2}\right){x}+849a^{3}-3036a^{2}-2272a+6014$ |
| 44.1-b2 |
44.1-b |
$8$ |
$12$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( - 2^{6} \cdot 11^{3} \) |
$10.36605$ |
$(a), (a^3-3a^2-3a+8)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 3 \) |
$4.554116642$ |
$13.51290489$ |
2.554059304 |
\( \frac{42883295604358332075}{10648} a^{3} - \frac{106658679230971136265}{10648} a^{2} - \frac{184445202825327914955}{10648} a + \frac{317187390222549088865}{10648} \) |
\( \bigl[-\frac{1}{2} a^{3} + 2 a^{2} + 2 a - \frac{11}{2}\) , \( -\frac{1}{2} a^{3} + 2 a^{2} + 2 a - \frac{11}{2}\) , \( 1\) , \( \frac{53}{2} a^{3} + 21 a^{2} - 217 a - \frac{613}{2}\) , \( 249 a^{3} + 87 a^{2} - 1945 a - 2309\bigr] \) |
${y}^2+\left(-\frac{1}{2}a^{3}+2a^{2}+2a-\frac{11}{2}\right){x}{y}+{y}={x}^{3}+\left(-\frac{1}{2}a^{3}+2a^{2}+2a-\frac{11}{2}\right){x}^{2}+\left(\frac{53}{2}a^{3}+21a^{2}-217a-\frac{613}{2}\right){x}+249a^{3}+87a^{2}-1945a-2309$ |
| 44.1-b3 |
44.1-b |
$8$ |
$12$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( - 2^{2} \cdot 11 \) |
$10.36605$ |
$(a), (a^3-3a^2-3a+8)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 1 \) |
$1.518038880$ |
$1094.545296$ |
2.554059304 |
\( \frac{18725625}{22} a^{3} + \frac{33946335}{22} a^{2} - \frac{15387165}{11} a - \frac{26625530}{11} \) |
\( \bigl[-\frac{1}{2} a^{3} + 2 a^{2} + 2 a - \frac{11}{2}\) , \( -\frac{1}{2} a^{3} + 2 a^{2} + 2 a - \frac{11}{2}\) , \( 1\) , \( \frac{3}{2} a^{3} + a^{2} - 7 a - \frac{13}{2}\) , \( a^{2} + 3 a + 2\bigr] \) |
${y}^2+\left(-\frac{1}{2}a^{3}+2a^{2}+2a-\frac{11}{2}\right){x}{y}+{y}={x}^{3}+\left(-\frac{1}{2}a^{3}+2a^{2}+2a-\frac{11}{2}\right){x}^{2}+\left(\frac{3}{2}a^{3}+a^{2}-7a-\frac{13}{2}\right){x}+a^{2}+3a+2$ |
| 44.1-b4 |
44.1-b |
$8$ |
$12$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( 2^{4} \cdot 11^{2} \) |
$10.36605$ |
$(a), (a^3-3a^2-3a+8)$ |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1 |
$1$ |
\( 2^{2} \) |
$0.759019440$ |
$2189.090592$ |
2.554059304 |
\( -\frac{32744225}{484} a^{3} - \frac{4283935}{242} a^{2} + \frac{251313335}{484} a + \frac{71458055}{121} \) |
\( \bigl[-\frac{1}{2} a^{3} + 2 a^{2} + 2 a - \frac{11}{2}\) , \( a^{2} - 2 a - 3\) , \( -\frac{1}{2} a^{3} + 2 a^{2} + a - \frac{11}{2}\) , \( \frac{1}{2} a^{3} - a^{2} - a + \frac{11}{2}\) , \( \frac{3}{2} a^{3} - 3 a^{2} - 5 a + \frac{11}{2}\bigr] \) |
${y}^2+\left(-\frac{1}{2}a^{3}+2a^{2}+2a-\frac{11}{2}\right){x}{y}+\left(-\frac{1}{2}a^{3}+2a^{2}+a-\frac{11}{2}\right){y}={x}^{3}+\left(a^{2}-2a-3\right){x}^{2}+\left(\frac{1}{2}a^{3}-a^{2}-a+\frac{11}{2}\right){x}+\frac{3}{2}a^{3}-3a^{2}-5a+\frac{11}{2}$ |
| 44.1-b5 |
44.1-b |
$8$ |
$12$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( - 2^{2} \cdot 11^{4} \) |
$10.36605$ |
$(a), (a^3-3a^2-3a+8)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \) |
$1.518038880$ |
$547.2726481$ |
2.554059304 |
\( -\frac{2147705677159925}{29282} a^{3} - \frac{569094903431865}{29282} a^{2} + \frac{8230878621153585}{14641} a + \frac{9338027210016795}{14641} \) |
\( \bigl[-\frac{1}{2} a^{3} + 2 a^{2} + 2 a - \frac{11}{2}\) , \( a^{2} - 2 a - 3\) , \( -\frac{1}{2} a^{3} + 2 a^{2} + a - \frac{11}{2}\) , \( 8 a^{3} - 21 a^{2} - 21 a + 43\) , \( 35 a^{3} - 99 a^{2} - 87 a + 205\bigr] \) |
${y}^2+\left(-\frac{1}{2}a^{3}+2a^{2}+2a-\frac{11}{2}\right){x}{y}+\left(-\frac{1}{2}a^{3}+2a^{2}+a-\frac{11}{2}\right){y}={x}^{3}+\left(a^{2}-2a-3\right){x}^{2}+\left(8a^{3}-21a^{2}-21a+43\right){x}+35a^{3}-99a^{2}-87a+205$ |
| 44.1-b6 |
44.1-b |
$8$ |
$12$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( 2^{12} \cdot 11^{6} \) |
$10.36605$ |
$(a), (a^3-3a^2-3a+8)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.2 |
$1$ |
\( 2^{2} \cdot 3 \) |
$2.277058321$ |
$27.02580978$ |
2.554059304 |
\( \frac{1674840040983125}{113379904} a^{3} - \frac{3543785856401455}{113379904} a^{2} - \frac{9868397281780385}{113379904} a + \frac{14764437378075555}{113379904} \) |
\( \bigl[-\frac{1}{2} a^{3} + 2 a^{2} + 2 a - \frac{11}{2}\) , \( a^{2} - 2 a - 3\) , \( -\frac{1}{2} a^{3} + 2 a^{2} + a - \frac{11}{2}\) , \( 38 a^{3} - 116 a^{2} - 96 a + 233\) , \( 308 a^{3} - 922 a^{2} - 793 a + 1853\bigr] \) |
${y}^2+\left(-\frac{1}{2}a^{3}+2a^{2}+2a-\frac{11}{2}\right){x}{y}+\left(-\frac{1}{2}a^{3}+2a^{2}+a-\frac{11}{2}\right){y}={x}^{3}+\left(a^{2}-2a-3\right){x}^{2}+\left(38a^{3}-116a^{2}-96a+233\right){x}+308a^{3}-922a^{2}-793a+1853$ |
| 44.1-b7 |
44.1-b |
$8$ |
$12$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( 2^{24} \cdot 11^{3} \) |
$10.36605$ |
$(a), (a^3-3a^2-3a+8)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{2} \cdot 3 \) |
$1.138529160$ |
$13.51290489$ |
2.554059304 |
\( \frac{96328505393134775}{5451776} a^{3} + \frac{202792675200171395}{5451776} a^{2} - \frac{140912691377402235}{5451776} a - \frac{341236580269182695}{5451776} \) |
\( \bigl[1\) , \( 1\) , \( \frac{1}{2} a^{3} - a^{2} - a + \frac{5}{2}\) , \( -\frac{23}{2} a^{3} + 5 a^{2} + 77 a + \frac{101}{2}\) , \( \frac{117}{2} a^{3} + 31 a^{2} - 469 a - \frac{1211}{2}\bigr] \) |
${y}^2+{x}{y}+\left(\frac{1}{2}a^{3}-a^{2}-a+\frac{5}{2}\right){y}={x}^{3}+{x}^{2}+\left(-\frac{23}{2}a^{3}+5a^{2}+77a+\frac{101}{2}\right){x}+\frac{117}{2}a^{3}+31a^{2}-469a-\frac{1211}{2}$ |
| 44.1-b8 |
44.1-b |
$8$ |
$12$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
44.1 |
\( 2^{2} \cdot 11 \) |
\( 2^{8} \cdot 11 \) |
$10.36605$ |
$(a), (a^3-3a^2-3a+8)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \) |
$0.379509720$ |
$1094.545296$ |
2.554059304 |
\( -\frac{6073575}{88} a^{3} + \frac{35265355}{176} a^{2} + \frac{15573805}{88} a - \frac{71325555}{176} \) |
\( \bigl[\frac{1}{2} a^{3} - a^{2} - 2 a + \frac{5}{2}\) , \( \frac{1}{2} a^{3} - a^{2} - 2 a + \frac{7}{2}\) , \( \frac{1}{2} a^{3} - a^{2} - a + \frac{5}{2}\) , \( \frac{5}{2} a^{3} - 6 a^{2} - 11 a + \frac{33}{2}\) , \( 2 a^{3} - 6 a^{2} - 8 a + 18\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}-a^{2}-2a+\frac{5}{2}\right){x}{y}+\left(\frac{1}{2}a^{3}-a^{2}-a+\frac{5}{2}\right){y}={x}^{3}+\left(\frac{1}{2}a^{3}-a^{2}-2a+\frac{7}{2}\right){x}^{2}+\left(\frac{5}{2}a^{3}-6a^{2}-11a+\frac{33}{2}\right){x}+2a^{3}-6a^{2}-8a+18$ |
| 44.2-a1 |
44.2-a |
$8$ |
$12$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
44.2 |
\( 2^{2} \cdot 11 \) |
\( 2^{24} \cdot 11^{3} \) |
$10.36605$ |
$(1/2a^3-2a^2-a+13/2), (-a^2+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2 \cdot 3 \) |
$0.179077590$ |
$175.6376609$ |
2.610760241 |
\( \frac{811703699470364625}{5451776} a^{3} - \frac{2018857084927170195}{5451776} a^{2} - \frac{3491216128076595365}{5451776} a + \frac{272899417819184235}{247808} \) |
\( \bigl[-\frac{1}{2} a^{3} + 2 a^{2} + a - \frac{13}{2}\) , \( a^{3} - 3 a^{2} - 3 a + 9\) , \( \frac{1}{2} a^{3} - a^{2} - 2 a + \frac{5}{2}\) , \( -\frac{1}{2} a^{3} - 8 a^{2} - 19 a - \frac{9}{2}\) , \( 32 a^{3} + 35 a^{2} - 125 a - 156\bigr] \) |
${y}^2+\left(-\frac{1}{2}a^{3}+2a^{2}+a-\frac{13}{2}\right){x}{y}+\left(\frac{1}{2}a^{3}-a^{2}-2a+\frac{5}{2}\right){y}={x}^{3}+\left(a^{3}-3a^{2}-3a+9\right){x}^{2}+\left(-\frac{1}{2}a^{3}-8a^{2}-19a-\frac{9}{2}\right){x}+32a^{3}+35a^{2}-125a-156$ |
| 44.2-a2 |
44.2-a |
$8$ |
$12$ |
4.4.5225.1 |
$4$ |
$[4, 0]$ |
44.2 |
\( 2^{2} \cdot 11 \) |
\( - 2^{2} \cdot 11 \) |
$10.36605$ |
$(1/2a^3-2a^2-a+13/2), (-a^2+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B |
$1$ |
\( 1 \) |
$0.238770120$ |
$790.3694741$ |
2.610760241 |
\( \frac{295772175}{44} a^{3} - \frac{183584880}{11} a^{2} - \frac{317836260}{11} a + \frac{198606245}{4} \) |
\( \bigl[-\frac{1}{2} a^{3} + 2 a^{2} + 2 a - \frac{11}{2}\) , \( -a^{2} + 2 a + 5\) , \( -\frac{1}{2} a^{3} + 2 a^{2} + a - \frac{13}{2}\) , \( -a^{3} + 2 a^{2} + 8 a + 1\) , \( -\frac{1}{2} a^{3} + a^{2} + 5 a + \frac{3}{2}\bigr] \) |
${y}^2+\left(-\frac{1}{2}a^{3}+2a^{2}+2a-\frac{11}{2}\right){x}{y}+\left(-\frac{1}{2}a^{3}+2a^{2}+a-\frac{13}{2}\right){y}={x}^{3}+\left(-a^{2}+2a+5\right){x}^{2}+\left(-a^{3}+2a^{2}+8a+1\right){x}-\frac{1}{2}a^{3}+a^{2}+5a+\frac{3}{2}$ |
*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.
