| 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 |
| 34848.5-a1 |
34848.5-a |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{15} \cdot 11^{5} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$2.902713371$ |
$0.709980251$ |
5.829018259 |
\( -\frac{13166140233250}{7780827681} a - \frac{39283810015000}{7780827681} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -85 a - 1\) , \( 295 a - 374\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-85a-1\right){x}+295a-374$ |
| 34848.5-a2 |
34848.5-a |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{15} \cdot 11^{5} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$2.902713371$ |
$0.709980251$ |
5.829018259 |
\( \frac{13166140233250}{7780827681} a - \frac{39283810015000}{7780827681} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 85 a - 1\) , \( -295 a - 374\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(85a-1\right){x}-295a-374$ |
| 34848.5-a3 |
34848.5-a |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{12} \cdot 11^{4} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.725678342$ |
$1.419960502$ |
5.829018259 |
\( -\frac{148877000}{88209} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -21\) , \( -60\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-21{x}-60$ |
| 34848.5-a4 |
34848.5-a |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 11^{2} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$2.902713371$ |
$1.419960502$ |
5.829018259 |
\( \frac{1643032000}{297} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -98\) , \( 408\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-98{x}+408$ |
| 34848.5-b1 |
34848.5-b |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 11^{2} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.365288481$ |
$1.565607194$ |
3.235145188 |
\( \frac{314432}{8019} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 6\) , \( -36\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+6{x}-36$ |
| 34848.5-b2 |
34848.5-b |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 11^{4} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.730576963$ |
$1.565607194$ |
3.235145188 |
\( \frac{58411072}{3267} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -32\) , \( 78\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-32{x}+78$ |
| 34848.5-c1 |
34848.5-c |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{50} \cdot 11^{2} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$22.21303546$ |
$0.053527571$ |
3.363027698 |
\( -\frac{12708968894521128515042}{133734320049626216811} a - \frac{42817294016330783977240}{12157665459056928801} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -13255 a - 2178\) , \( -710314 a + 693023\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(-13255a-2178\right){x}-710314a+693023$ |
| 34848.5-c2 |
34848.5-c |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{50} \cdot 11^{2} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$22.21303546$ |
$0.053527571$ |
3.363027698 |
\( \frac{12708968894521128515042}{133734320049626216811} a - \frac{42817294016330783977240}{12157665459056928801} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 13255 a - 2178\) , \( 710314 a + 693023\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(13255a-2178\right){x}+710314a+693023$ |
| 34848.5-c3 |
34848.5-c |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{40} \cdot 11^{4} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$11.10651773$ |
$0.107055143$ |
3.363027698 |
\( -\frac{1343891598641864}{421900912521} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -4598\) , \( 148281\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-4598{x}+148281$ |
| 34848.5-c4 |
34848.5-c |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{10} \cdot 11^{16} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$2.776629433$ |
$0.107055143$ |
3.363027698 |
\( \frac{243578556889408}{52089208083} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -5204\) , \( 116478\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-5204{x}+116478$ |
| 34848.5-c5 |
34848.5-c |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{20} \cdot 11^{8} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{8} \) |
$5.553258866$ |
$0.107055143$ |
3.363027698 |
\( \frac{13015685560572352}{864536409} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -19602\) , \( -1049760\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-19602{x}-1049760$ |
| 34848.5-c6 |
34848.5-c |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{10} \cdot 11^{4} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$4$ |
\( 2^{3} \) |
$11.10651773$ |
$0.107055143$ |
3.363027698 |
\( \frac{6663712298552914184}{29403} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -78407\) , \( 8437568\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-78407{x}+8437568$ |
| 34848.5-d1 |
34848.5-d |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 11^{4} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.415458008$ |
$3.096117196$ |
3.638224721 |
\( -\frac{8}{1089} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 1\) , \( -4\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+{x}-4$ |
| 34848.5-d2 |
34848.5-d |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{5} \cdot 11^{5} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.830916017$ |
$1.548058598$ |
3.638224721 |
\( -\frac{2542910410}{1185921} a + \frac{61806909416}{1185921} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -25 a + 21\) , \( -3 a - 94\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-25a+21\right){x}-3a-94$ |
| 34848.5-d3 |
34848.5-d |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{5} \cdot 11^{5} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.830916017$ |
$1.548058598$ |
3.638224721 |
\( \frac{2542910410}{1185921} a + \frac{61806909416}{1185921} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 25 a + 21\) , \( 3 a - 94\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(25a+21\right){x}+3a-94$ |
| 34848.5-d4 |
34848.5-d |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 11^{2} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.830916017$ |
$3.096117196$ |
3.638224721 |
\( \frac{1906624}{33} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -10\) , \( 16\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-10{x}+16$ |
| 34848.5-e1 |
34848.5-e |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{2} \cdot 11^{10} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$4$ |
\( 2^{4} \) |
$1$ |
$0.690430211$ |
1.952831537 |
\( -\frac{52006035768946}{643076643} a - \frac{19928304450840}{214358881} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 105 a + 195\) , \( -567 a + 1254\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(105a+195\right){x}-567a+1254$ |
| 34848.5-e2 |
34848.5-e |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{2} \cdot 11^{10} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$4$ |
\( 2^{4} \) |
$1$ |
$0.690430211$ |
1.952831537 |
\( \frac{52006035768946}{643076643} a - \frac{19928304450840}{214358881} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -105 a + 195\) , \( 567 a + 1254\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-105a+195\right){x}+567a+1254$ |
| 34848.5-e3 |
34848.5-e |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 11^{8} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1$ |
$1.380860422$ |
1.952831537 |
\( \frac{37259704}{131769} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 15\) , \( 48\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+15{x}+48$ |
| 34848.5-e4 |
34848.5-e |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 11^{4} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$1.380860422$ |
1.952831537 |
\( \frac{69934528}{9801} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -34\) , \( -56\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-34{x}-56$ |
| 34848.5-e5 |
34848.5-e |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{16} \cdot 11^{2} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.380860422$ |
1.952831537 |
\( \frac{649461896}{72171} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -36\) , \( -81\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-36{x}-81$ |
| 34848.5-e6 |
34848.5-e |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 11^{2} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.380860422$ |
1.952831537 |
\( \frac{4004529472}{99} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -132\) , \( 630\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-132{x}+630$ |
| 34848.5-f1 |
34848.5-f |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 11^{4} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.672729625$ |
$2.629010090$ |
5.002392910 |
\( \frac{64}{363} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -1\) , \( 5 a\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}-{x}+5a$ |
| 34848.5-f2 |
34848.5-f |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 11^{2} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.336364812$ |
$2.629010090$ |
5.002392910 |
\( \frac{4410944}{99} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 13\) , \( -9 a\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+13{x}-9a$ |
| 34848.5-g1 |
34848.5-g |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{16} \cdot 11^{8} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{9} \) |
$2.211584060$ |
$0.211807680$ |
5.299686017 |
\( -\frac{60180985892672}{96059601} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 3265\) , \( -49773 a\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+3265{x}-49773a$ |
| 34848.5-g2 |
34848.5-g |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{34} \cdot 11^{5} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{8} \) |
$2.211584060$ |
$0.105903840$ |
5.299686017 |
\( -\frac{683085319821764407869958}{27130068584979804081} a - \frac{1732757663662627072803340}{27130068584979804081} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( -5181 a + 5544\) , \( -39078 a - 336159\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-5181a+5544\right){x}-39078a-336159$ |
| 34848.5-g3 |
34848.5-g |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{34} \cdot 11^{5} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$8.846336241$ |
$0.105903840$ |
5.299686017 |
\( \frac{683085319821764407869958}{27130068584979804081} a - \frac{1732757663662627072803340}{27130068584979804081} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( 5179 a + 5545\) , \( -44258 a + 330616\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(5179a+5545\right){x}-44258a+330616$ |
| 34848.5-g4 |
34848.5-g |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{20} \cdot 11^{10} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$4.423168120$ |
$0.211807680$ |
5.299686017 |
\( -\frac{3556845709248955760}{9227446944279201} a + \frac{6549496418959980296}{9227446944279201} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( 174 a + 815\) , \( 6705 a + 5192\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(174a+815\right){x}+6705a+5192$ |
| 34848.5-g5 |
34848.5-g |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{20} \cdot 11^{10} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{10} \) |
$1.105792030$ |
$0.211807680$ |
5.299686017 |
\( \frac{3556845709248955760}{9227446944279201} a + \frac{6549496418959980296}{9227446944279201} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( -176 a + 814\) , \( 6880 a - 6005\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-176a+814\right){x}+6880a-6005$ |
| 34848.5-g6 |
34848.5-g |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{10} \cdot 11^{17} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{8} \) |
$2.211584060$ |
$0.105903840$ |
5.299686017 |
\( -\frac{361681446473310730193882}{301476177634896948321} a + \frac{854702421769836561764380}{301476177634896948321} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 2029 a - 3956\) , \( 64678 a - 39719\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(2029a-3956\right){x}+64678a-39719$ |
| 34848.5-g7 |
34848.5-g |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{10} \cdot 11^{17} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$8.846336241$ |
$0.105903840$ |
5.299686017 |
\( \frac{361681446473310730193882}{301476177634896948321} a + \frac{854702421769836561764380}{301476177634896948321} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( -2031 a - 3955\) , \( 66708 a + 43676\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-2031a-3955\right){x}+66708a+43676$ |
| 34848.5-g8 |
34848.5-g |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 11^{4} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$4.423168120$ |
$0.211807680$ |
5.299686017 |
\( \frac{3856007604379328}{9801} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 13067\) , \( 410921 a\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+13067{x}+410921a$ |
| 34848.5-h1 |
34848.5-h |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{5} \cdot 11^{5} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$2.098171996$ |
2.967263293 |
\( -\frac{2706464672}{1185921} a - \frac{6348004600}{1185921} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( 9 a + 1\) , \( 6 a + 11\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(9a+1\right){x}+6a+11$ |
| 34848.5-h2 |
34848.5-h |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{5} \cdot 11^{5} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$2.098171996$ |
2.967263293 |
\( \frac{2706464672}{1185921} a - \frac{6348004600}{1185921} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( -11 a\) , \( 16 a - 10\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}-11a{x}+16a-10$ |
| 34848.5-h3 |
34848.5-h |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 11^{4} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$2.098171996$ |
2.967263293 |
\( -\frac{1560896}{1089} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 9\) , \( -9 a\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+9{x}-9a$ |
| 34848.5-h4 |
34848.5-h |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 11^{2} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$4$ |
\( 2 \) |
$1$ |
$2.098171996$ |
2.967263293 |
\( \frac{143877824}{33} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 43\) , \( 93 a\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+43{x}+93a$ |
| 34848.5-i1 |
34848.5-i |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 11^{3} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$16$ |
\( 2^{2} \) |
$1$ |
$0.600694068$ |
1.699019398 |
\( \frac{49732300062730}{1089} a - \frac{42287026814216}{1089} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 879 a + 704\) , \( -10 a + 19869\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(879a+704\right){x}-10a+19869$ |
| 34848.5-i2 |
34848.5-i |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 11^{6} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1$ |
$1.201388137$ |
1.699019398 |
\( -\frac{200372689600}{1185921} a - \frac{159388200712}{1185921} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 54 a + 44\) , \( -10 a + 267\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(54a+44\right){x}-10a+267$ |
| 34848.5-i3 |
34848.5-i |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{9} \cdot 11^{3} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.201388137$ |
1.699019398 |
\( \frac{106545031168}{793881} a - \frac{76443565120}{793881} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 60 a - 13\) , \( -187 a - 204\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(60a-13\right){x}-187a-204$ |
| 34848.5-i4 |
34848.5-i |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{9} \cdot 11^{9} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.600694068$ |
1.699019398 |
\( \frac{194755911135350}{1406408618241} a + \frac{362869836626648}{1406408618241} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 29 a + 64\) , \( 190 a + 437\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(29a+64\right){x}+190a+437$ |
| 34848.5-i5 |
34848.5-i |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 11^{6} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$1.201388137$ |
1.699019398 |
\( -\frac{50309120}{1185921} a + \frac{1366917056}{1185921} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 20 a + 5\) , \( 27 a - 36\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(20a+5\right){x}+27a-36$ |
| 34848.5-i6 |
34848.5-i |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 11^{9} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.201388137$ |
1.699019398 |
\( \frac{159645003968}{1929229929} a + \frac{4875002501080}{1929229929} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( -26 a - 5\) , \( -17 a + 46\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-26a-5\right){x}-17a+46$ |
| 34848.5-j1 |
34848.5-j |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 11^{3} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$3.353942873$ |
$0.600694068$ |
5.698414003 |
\( -\frac{49732300062730}{1089} a - \frac{42287026814216}{1089} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( -881 a + 705\) , \( 870 a - 20572\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-881a+705\right){x}+870a-20572$ |
| 34848.5-j2 |
34848.5-j |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 11^{6} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1.676971436$ |
$1.201388137$ |
5.698414003 |
\( \frac{200372689600}{1185921} a - \frac{159388200712}{1185921} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( -56 a + 45\) , \( 45 a - 310\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-56a+45\right){x}+45a-310$ |
| 34848.5-j3 |
34848.5-j |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{9} \cdot 11^{3} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1.676971436$ |
$1.201388137$ |
5.698414003 |
\( -\frac{106545031168}{793881} a - \frac{76443565120}{793881} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -60 a - 13\) , \( -187 a + 204\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(-60a-13\right){x}-187a+204$ |
| 34848.5-j4 |
34848.5-j |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{9} \cdot 11^{9} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$3.353942873$ |
$0.600694068$ |
5.698414003 |
\( -\frac{194755911135350}{1406408618241} a + \frac{362869836626648}{1406408618241} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( -31 a + 65\) , \( 220 a - 500\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-31a+65\right){x}+220a-500$ |
| 34848.5-j5 |
34848.5-j |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 11^{6} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{8} \) |
$0.838485718$ |
$1.201388137$ |
5.698414003 |
\( \frac{50309120}{1185921} a + \frac{1366917056}{1185921} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -20 a + 5\) , \( 27 a + 36\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(-20a+5\right){x}+27a+36$ |
| 34848.5-j6 |
34848.5-j |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 11^{9} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1.676971436$ |
$1.201388137$ |
5.698414003 |
\( -\frac{159645003968}{1929229929} a + \frac{4875002501080}{1929229929} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 24 a - 6\) , \( -42 a - 39\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(24a-6\right){x}-42a-39$ |
| 34848.5-k1 |
34848.5-k |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 11^{3} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$16$ |
\( 2^{2} \) |
$1$ |
$0.600694068$ |
1.699019398 |
\( -\frac{49732300062730}{1089} a - \frac{42287026814216}{1089} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -879 a + 704\) , \( 10 a + 19869\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-879a+704\right){x}+10a+19869$ |
| 34848.5-k2 |
34848.5-k |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
34848.5 |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 11^{6} \) |
$3.45325$ |
$(a), (-a-1), (a-1), (a+3), (a-3)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1$ |
$1.201388137$ |
1.699019398 |
\( \frac{200372689600}{1185921} a - \frac{159388200712}{1185921} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -54 a + 44\) , \( 10 a + 267\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-54a+44\right){x}+10a+267$ |
*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.
