| 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 |
| 39600.5-a1 |
39600.5-a |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{5} \cdot 5^{10} \cdot 11 \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.743772644$ |
$0.678861635$ |
3.653729287 |
\( \frac{1026440072192}{348046875} a - \frac{832271052176}{116015625} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 85 a - 36\) , \( -327 a - 336\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(85a-36\right){x}-327a-336$ |
| 39600.5-a2 |
39600.5-a |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{5} \cdot 5^{10} \cdot 11 \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.743772644$ |
$0.678861635$ |
3.653729287 |
\( -\frac{1026440072192}{348046875} a - \frac{1470373084336}{348046875} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -85 a + 49\) , \( 327 a - 663\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-85a+49\right){x}+327a-663$ |
| 39600.5-a3 |
39600.5-a |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 11^{2} \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \cdot 3 \) |
$0.371886322$ |
$1.357723271$ |
3.653729287 |
\( -\frac{67108864}{61875} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -21\) , \( -54\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-21{x}-54$ |
| 39600.5-a4 |
39600.5-a |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{4} \cdot 11^{4} \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.743772644$ |
$0.678861635$ |
3.653729287 |
\( \frac{26894628304}{9075} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -396\) , \( -2904\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-396{x}-2904$ |
| 39600.5-b1 |
39600.5-b |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 11^{2} \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \cdot 3 \) |
$0.176822034$ |
$2.403211716$ |
6.149974430 |
\( -\frac{16384}{2475} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -1\) , \( 10\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-{x}+10$ |
| 39600.5-b2 |
39600.5-b |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{5} \cdot 5^{5} \cdot 11 \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.707288137$ |
$1.201605858$ |
6.149974430 |
\( \frac{6699176512}{556875} a + \frac{15035560592}{556875} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 35 a + 9\) , \( 7 a + 177\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(35a+9\right){x}+7a+177$ |
| 39600.5-b3 |
39600.5-b |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{5} \cdot 5^{5} \cdot 11 \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.707288137$ |
$1.201605858$ |
6.149974430 |
\( -\frac{6699176512}{556875} a + \frac{7244912368}{185625} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -35 a + 44\) , \( -7 a + 184\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-35a+44\right){x}-7a+184$ |
| 39600.5-b4 |
39600.5-b |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 11^{4} \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.707288137$ |
$1.201605858$ |
6.149974430 |
\( \frac{192143824}{1815} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -76\) , \( 280\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-76{x}+280$ |
| 39600.5-c1 |
39600.5-c |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{7} \cdot 11^{10} \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \) |
$1$ |
$0.147567932$ |
1.334802174 |
\( -\frac{15321041998625536}{1100682928125} a - \frac{53538985421931776}{1100682928125} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 2317 a + 1311\) , \( -6336 a + 122364\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(2317a+1311\right){x}-6336a+122364$ |
| 39600.5-c2 |
39600.5-c |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{20} \cdot 5^{11} \cdot 11^{5} \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \) |
$1$ |
$0.073783966$ |
1.334802174 |
\( \frac{23354544877554477808}{62169255263671875} a + \frac{25106939070765206528}{62169255263671875} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 4132 a - 2924\) , \( -156860 a + 163020\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(4132a-2924\right){x}-156860a+163020$ |
| 39600.5-d1 |
39600.5-d |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{7} \cdot 11^{10} \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \) |
$1$ |
$0.147567932$ |
1.334802174 |
\( \frac{15321041998625536}{1100682928125} a - \frac{22953342473519104}{366894309375} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -2317 a + 3628\) , \( 6336 a + 116028\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-2317a+3628\right){x}+6336a+116028$ |
| 39600.5-d2 |
39600.5-d |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{20} \cdot 5^{11} \cdot 11^{5} \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \) |
$1$ |
$0.073783966$ |
1.334802174 |
\( -\frac{23354544877554477808}{62169255263671875} a + \frac{16153827982773228112}{20723085087890625} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -4132 a + 1208\) , \( 156860 a + 6160\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-4132a+1208\right){x}+156860a+6160$ |
| 39600.5-e1 |
39600.5-e |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 11^{2} \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$1.984550218$ |
3.590186428 |
\( -\frac{354951424}{66825} a - \frac{585703424}{66825} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -4 a + 19\) , \( 12 a + 3\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-4a+19\right){x}+12a+3$ |
| 39600.5-e2 |
39600.5-e |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{12} \cdot 5^{3} \cdot 11 \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.992275109$ |
3.590186428 |
\( -\frac{3710569328}{16238475} a - \frac{7116386704}{16238475} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -19 a - 1\) , \( 101 a - 80\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-19a-1\right){x}+101a-80$ |
| 39600.5-f1 |
39600.5-f |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 11^{2} \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$1.984550218$ |
3.590186428 |
\( \frac{354951424}{66825} a - \frac{313551616}{22275} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 6 a + 14\) , \( -7 a + 29\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(6a+14\right){x}-7a+29$ |
| 39600.5-f2 |
39600.5-f |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{12} \cdot 5^{3} \cdot 11 \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.992275109$ |
3.590186428 |
\( \frac{3710569328}{16238475} a - \frac{3608985344}{5412825} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 21 a - 21\) , \( -81 a\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(21a-21\right){x}-81a$ |
| 39600.5-g1 |
39600.5-g |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{5} \cdot 5^{15} \cdot 11^{3} \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{3} \cdot 3 \) |
$5.603798371$ |
$0.181733201$ |
7.369392313 |
\( \frac{325811636692404928}{2392822265625} a - \frac{130303387042039792}{797607421875} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 715 a + 3289\) , \( 49313 a - 65277\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(715a+3289\right){x}+49313a-65277$ |
| 39600.5-g2 |
39600.5-g |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{5} \cdot 5^{15} \cdot 11^{3} \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{3} \cdot 3 \) |
$5.603798371$ |
$0.181733201$ |
7.369392313 |
\( -\frac{325811636692404928}{2392822265625} a - \frac{65098524433714448}{2392822265625} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -715 a + 4004\) , \( -49313 a - 15964\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-715a+4004\right){x}-49313a-15964$ |
| 39600.5-g3 |
39600.5-g |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{15} \cdot 5^{5} \cdot 11 \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{3} \cdot 3^{3} \) |
$1.867932790$ |
$0.545199604$ |
7.369392313 |
\( \frac{1997234107328}{3653656875} a - \frac{5452035501392}{1217885625} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 115 a - 71\) , \( 617 a + 411\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(115a-71\right){x}+617a+411$ |
| 39600.5-g4 |
39600.5-g |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{15} \cdot 5^{5} \cdot 11 \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{3} \cdot 3^{3} \) |
$1.867932790$ |
$0.545199604$ |
7.369392313 |
\( -\frac{1997234107328}{3653656875} a - \frac{14358872396848}{3653656875} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -115 a + 44\) , \( -617 a + 1028\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-115a+44\right){x}-617a+1028$ |
| 39600.5-g5 |
39600.5-g |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 11^{2} \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2Cs, 3B.1.1 |
$1$ |
\( 2^{5} \cdot 3^{3} \) |
$0.933966395$ |
$1.090399208$ |
7.369392313 |
\( -\frac{488095744}{200475} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -41\) , \( 120\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-41{x}+120$ |
| 39600.5-g6 |
39600.5-g |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{12} \cdot 11^{6} \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2Cs, 3B.1.2 |
$1$ |
\( 2^{5} \cdot 3 \) |
$2.801899185$ |
$0.363466402$ |
7.369392313 |
\( \frac{223673040896}{187171875} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 319\) , \( -1356\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+319{x}-1356$ |
| 39600.5-g7 |
39600.5-g |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{6} \cdot 11^{12} \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.2 |
$4$ |
\( 2 \cdot 3 \) |
$5.603798371$ |
$0.181733201$ |
7.369392313 |
\( \frac{1628514404944}{664335375} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -1556\) , \( -13356\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-1556{x}-13356$ |
| 39600.5-g8 |
39600.5-g |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 11^{4} \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$4$ |
\( 2 \cdot 3^{3} \) |
$1.867932790$ |
$0.545199604$ |
7.369392313 |
\( \frac{158792223184}{16335} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -716\) , \( 7140\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-716{x}+7140$ |
| 39600.5-h1 |
39600.5-h |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{24} \cdot 11^{2} \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2Cs, 3B.1.2 |
$9$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.100866121$ |
3.284526242 |
\( -\frac{26348629355659264}{24169921875} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -15621\) , \( -757296\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-15621{x}-757296$ |
| 39600.5-h2 |
39600.5-h |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{15} \cdot 5^{10} \cdot 11^{3} \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{4} \cdot 3^{4} \) |
$1$ |
$0.151299182$ |
3.284526242 |
\( \frac{1774941783997046528}{25118891015625} a - \frac{1044249882031346576}{25118891015625} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -2035 a + 4564\) , \( -34353 a - 101124\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-2035a+4564\right){x}-34353a-101124$ |
| 39600.5-h3 |
39600.5-h |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{8} \cdot 11^{6} \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2Cs, 3B.1.1 |
$1$ |
\( 2^{5} \cdot 3^{4} \) |
$1$ |
$0.302598365$ |
3.284526242 |
\( \frac{72268906496}{606436875} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 219\) , \( -4500\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+219{x}-4500$ |
| 39600.5-h4 |
39600.5-h |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{5} \cdot 5^{30} \cdot 11 \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B.1.2 |
$9$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.050433060$ |
3.284526242 |
\( \frac{27436239547745944945408}{53107738494873046875} a + \frac{24748556751314130096464}{53107738494873046875} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 2165 a - 16676\) , \( -217977 a - 659412\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(2165a-16676\right){x}-217977a-659412$ |
| 39600.5-h5 |
39600.5-h |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{5} \cdot 5^{30} \cdot 11 \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B.1.2 |
$9$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.050433060$ |
3.284526242 |
\( -\frac{27436239547745944945408}{53107738494873046875} a + \frac{17394932099686691680624}{17702579498291015625} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -2165 a - 14511\) , \( 217977 a - 877389\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-2165a-14511\right){x}+217977a-877389$ |
| 39600.5-h6 |
39600.5-h |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{4} \cdot 11^{12} \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{4} \cdot 3^{4} \) |
$1$ |
$0.151299182$ |
3.284526242 |
\( \frac{13584145739344}{1195803675} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -3156\) , \( -63900\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-3156{x}-63900$ |
| 39600.5-h7 |
39600.5-h |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{15} \cdot 5^{10} \cdot 11^{3} \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{4} \cdot 3^{4} \) |
$1$ |
$0.151299182$ |
3.284526242 |
\( -\frac{1774941783997046528}{25118891015625} a + \frac{243563967321899984}{8372963671875} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 2035 a + 2529\) , \( 34353 a - 135477\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(2035a+2529\right){x}+34353a-135477$ |
| 39600.5-h8 |
39600.5-h |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{12} \cdot 11^{4} \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.2 |
$9$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.050433060$ |
3.284526242 |
\( \frac{6749703004355978704}{5671875} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -249996\) , \( -48194796\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-249996{x}-48194796$ |
| 39600.5-i1 |
39600.5-i |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{5} \cdot 11^{2} \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$2.292707421$ |
4.147663784 |
\( \frac{13409536}{4125} a - \frac{20528384}{4125} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -3 a - 9\) , \( 6 a + 6\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-3a-9\right){x}+6a+6$ |
| 39600.5-i2 |
39600.5-i |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{7} \cdot 11 \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$1.146353710$ |
4.147663784 |
\( -\frac{1194416944}{515625} a - \frac{725379712}{1546875} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 12 a - 44\) , \( 60 a - 120\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(12a-44\right){x}+60a-120$ |
| 39600.5-j1 |
39600.5-j |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{7} \cdot 11 \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$1.146353710$ |
4.147663784 |
\( \frac{1194416944}{515625} a - \frac{4308630544}{1546875} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -12 a - 32\) , \( -60 a - 60\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-12a-32\right){x}-60a-60$ |
| 39600.5-j2 |
39600.5-j |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
39600.5 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{5} \cdot 11^{2} \) |
$4.18079$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$2.292707421$ |
4.147663784 |
\( -\frac{13409536}{4125} a - \frac{647168}{375} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 3 a - 12\) , \( -6 a + 12\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(3a-12\right){x}-6a+12$ |
*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.
