| 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 |
| 112896.1-CMh1 |
112896.1-CMh |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 7^{10} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-3$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{2} \) |
$1$ |
$0.635807573$ |
2.936669388 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 348 a + 248\bigr] \) |
${y}^2={x}^{3}+348a+248$ |
| 112896.1-CMg1 |
112896.1-CMg |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 7^{10} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-3$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$0.635807573$ |
0.734167347 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( -348 a - 248\bigr] \) |
${y}^2={x}^{3}-348a-248$ |
| 112896.1-CMf1 |
112896.1-CMf |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 7^{4} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-3$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$1.682188720$ |
1.942424221 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( -12 a + 32\bigr] \) |
${y}^2={x}^{3}-12a+32$ |
| 112896.1-CMe1 |
112896.1-CMe |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 7^{6} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{yes}$ |
$-3$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$1.930686265$ |
2.229364470 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( -18 a - 1\bigr] \) |
${y}^2={x}^{3}-18a-1$ |
| 112896.1-CMe2 |
112896.1-CMe |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 7^{6} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{3} \) |
$1$ |
$0.965343132$ |
2.229364470 |
\( 54000 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 120 a - 75\) , \( -396 a - 22\bigr] \) |
${y}^2={x}^{3}+\left(120a-75\right){x}-396a-22$ |
| 112896.1-CMd1 |
112896.1-CMd |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 7^{6} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{yes}$ |
$-3$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$1.930686265$ |
2.229364470 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 18 a + 1\bigr] \) |
${y}^2={x}^{3}+18a+1$ |
| 112896.1-CMd2 |
112896.1-CMd |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 7^{6} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{3} \) |
$1$ |
$0.965343132$ |
2.229364470 |
\( 54000 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -75 a - 45\) , \( 396 a + 22\bigr] \) |
${y}^2={x}^{3}+\left(-75a-45\right){x}+396a+22$ |
| 112896.1-CMc1 |
112896.1-CMc |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{24} \cdot 3^{6} \cdot 7^{8} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-3$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$7$ |
7Cs.6.1 |
$1$ |
\( 1 \) |
$1$ |
$0.553973137$ |
0.639673080 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 624 a - 880\bigr] \) |
${y}^2={x}^{3}+624a-880$ |
| 112896.1-CMb1 |
112896.1-CMb |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{24} \cdot 3^{6} \cdot 7^{2} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-3$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$7$ |
7Cs.6.1 |
$1$ |
\( 1 \) |
$1$ |
$1.465675155$ |
1.692415891 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 48 a - 16\bigr] \) |
${y}^2={x}^{3}+48a-16$ |
| 112896.1-CMa1 |
112896.1-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{24} \cdot 3^{6} \cdot 7^{2} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-3$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$7$ |
7Cs.6.1 |
$1$ |
\( 1 \) |
$1$ |
$1.465675155$ |
1.692415891 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( -48 a + 16\bigr] \) |
${y}^2={x}^{3}-48a+16$ |
| 112896.1-a1 |
112896.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{7} \cdot 7^{7} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.647975441$ |
$0.564373927$ |
3.378196004 |
\( \frac{34062272}{21} a - \frac{20369584}{21} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -268 a - 328\) , \( -3088 a - 1760\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-268a-328\right){x}-3088a-1760$ |
| 112896.1-a2 |
112896.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 7^{8} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1.295950883$ |
$1.128747854$ |
3.378196004 |
\( \frac{126976}{147} a + \frac{59392}{49} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -13 a - 28\) , \( -40 a + 10\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-13a-28\right){x}-40a+10$ |
| 112896.1-a3 |
112896.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{7} \cdot 7^{10} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.647975441$ |
$0.564373927$ |
3.378196004 |
\( -\frac{5901344}{7203} a + \frac{14067280}{7203} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 17 a + 137\) , \( -493 a - 56\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(17a+137\right){x}-493a-56$ |
| 112896.1-a4 |
112896.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{10} \cdot 7^{7} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.647975441$ |
$0.564373927$ |
3.378196004 |
\( -\frac{4185248}{63} a + \frac{3116720}{63} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 2 a - 313\) , \( 59 a + 2245\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(2a-313\right){x}+59a+2245$ |
| 112896.1-b1 |
112896.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{9} \cdot 7^{9} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$3.431559003$ |
$0.440558024$ |
3.491354523 |
\( 77808 a - 64752 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 252 a + 357\) , \( -4344 a + 5018\bigr] \) |
${y}^2={x}^{3}+\left(252a+357\right){x}-4344a+5018$ |
| 112896.1-b2 |
112896.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{9} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.715779501$ |
$0.881116048$ |
3.491354523 |
\( -768 a + 1536 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -3 a + 57\) , \( 87 a + 62\bigr] \) |
${y}^2={x}^{3}+\left(-3a+57\right){x}+87a+62$ |
| 112896.1-c1 |
112896.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{9} \cdot 7^{3} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.407043895$ |
$1.165606970$ |
3.787556729 |
\( 77808 a - 64752 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -63 a - 21\) , \( 276 a - 50\bigr] \) |
${y}^2={x}^{3}+\left(-63a-21\right){x}+276a-50$ |
| 112896.1-c2 |
112896.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{3} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.703521947$ |
$2.331213941$ |
3.787556729 |
\( -768 a + 1536 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -3 a - 6\) , \( 3 a - 8\bigr] \) |
${y}^2={x}^{3}+\left(-3a-6\right){x}+3a-8$ |
| 112896.1-d1 |
112896.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{3} \cdot 7^{9} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.763068882$ |
1.762232097 |
\( 77808 a - 64752 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -118 a + 203\) , \( -621 a - 515\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-118a+203\right){x}-621a-515$ |
| 112896.1-d2 |
112896.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 7^{9} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.526137764$ |
1.762232097 |
\( -768 a + 1536 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -18 a + 18\) , \( -17 a + 14\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-18a+18\right){x}-17a+14$ |
| 112896.1-e1 |
112896.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{9} \cdot 7^{10} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.758218039$ |
$0.250251620$ |
3.505583864 |
\( \frac{13299014828}{21609} a - \frac{10050940084}{21609} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 2481 a - 423\) , \( -13233 a - 34356\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(2481a-423\right){x}-13233a-34356$ |
| 112896.1-e2 |
112896.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{7} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.758218039$ |
$1.001006480$ |
3.505583864 |
\( -\frac{1452800}{63} a - \frac{1838336}{63} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 66 a - 108\) , \( 333 a - 315\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(66a-108\right){x}+333a-315$ |
| 112896.1-e3 |
112896.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{12} \cdot 7^{8} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1.516436078$ |
$0.500503240$ |
3.505583864 |
\( -\frac{645040}{1323} a + \frac{495808}{1323} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 141 a - 63\) , \( 51 a - 984\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(141a-63\right){x}+51a-984$ |
| 112896.1-e4 |
112896.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{18} \cdot 7^{7} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.758218039$ |
$0.250251620$ |
3.505583864 |
\( \frac{27489164}{5103} a + \frac{2374516}{1701} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -999 a + 1017\) , \( -1593 a - 10908\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-999a+1017\right){x}-1593a-10908$ |
| 112896.1-f1 |
112896.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{10} \cdot 7^{7} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.539576981$ |
$0.358179150$ |
3.570615345 |
\( \frac{8372116}{21} a - \frac{59703848}{63} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 1144 a + 88\) , \( 2536 a - 16956\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(1144a+88\right){x}+2536a-16956$ |
| 112896.1-f2 |
112896.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{7} \cdot 7^{10} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.539576981$ |
$0.358179150$ |
3.570615345 |
\( -\frac{461854796}{7203} a - \frac{66003464}{7203} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 184 a + 688\) , \( -9272 a + 7476\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(184a+688\right){x}-9272a+7476$ |
| 112896.1-f3 |
112896.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{8} \cdot 7^{8} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1.079153963$ |
$0.716358300$ |
3.570615345 |
\( \frac{37648}{49} a + \frac{84752}{147} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 64 a + 28\) , \( -80 a - 180\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(64a+28\right){x}-80a-180$ |
| 112896.1-f4 |
112896.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{7} \cdot 7^{7} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.539576981$ |
$1.432716600$ |
3.570615345 |
\( -\frac{32512}{21} a + \frac{63488}{21} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -11 a - 17\) , \( -26 a - 30\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-11a-17\right){x}-26a-30$ |
| 112896.1-g1 |
112896.1-g |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{3} \cdot 7^{8} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \) |
$0.792713453$ |
$1.021057160$ |
3.738485012 |
\( -\frac{452304}{49} a - \frac{118800}{49} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -53 a + 76\) , \( -100 a - 158\bigr] \) |
${y}^2={x}^{3}+\left(-53a+76\right){x}-100a-158$ |
| 112896.1-g2 |
112896.1-g |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 7^{7} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \) |
$0.396356726$ |
$2.042114321$ |
3.738485012 |
\( \frac{20736}{7} a - \frac{13824}{7} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 2 a + 11\) , \( 19 a - 18\bigr] \) |
${y}^2={x}^{3}+\left(2a+11\right){x}+19a-18$ |
| 112896.1-g3 |
112896.1-g |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{9} \cdot 7^{12} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \) |
$2.378140360$ |
$0.340352386$ |
3.738485012 |
\( \frac{4757232}{117649} a + \frac{223153968}{117649} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 387 a - 444\) , \( -1164 a + 850\bigr] \) |
${y}^2={x}^{3}+\left(387a-444\right){x}-1164a+850$ |
| 112896.1-g4 |
112896.1-g |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{9} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \) |
$1.189070180$ |
$0.680704773$ |
3.738485012 |
\( -\frac{3512064}{343} a + \frac{36883968}{343} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 222 a - 249\) , \( 1587 a - 998\bigr] \) |
${y}^2={x}^{3}+\left(222a-249\right){x}+1587a-998$ |
| 112896.1-h1 |
112896.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 7^{7} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.431272828$ |
$2.127427560$ |
4.237758837 |
\( \frac{3840}{7} a - \frac{768}{7} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 6 a + 3\) , \( 8 a + 10\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(6a+3\right){x}+8a+10$ |
| 112896.1-h2 |
112896.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{3} \cdot 7^{8} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.862545657$ |
$1.063713780$ |
4.237758837 |
\( -\frac{242448}{49} a + \frac{302304}{49} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -4 a - 52\) , \( -24 a + 128\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-4a-52\right){x}-24a+128$ |
| 112896.1-i1 |
112896.1-i |
$4$ |
$14$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{8} \cdot 7^{9} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 7$ |
2B, 7B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.536868520$ |
1.239844739 |
\( \frac{53296}{3} a - 3360 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -266 a + 271\) , \( 49 a + 1779\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-266a+271\right){x}+49a+1779$ |
| 112896.1-i2 |
112896.1-i |
$4$ |
$14$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{7} \cdot 7^{9} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 7$ |
2B, 7B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.073737041$ |
1.239844739 |
\( -\frac{256}{3} a - \frac{256}{3} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 19 a + 1\) , \( -26 a + 117\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(19a+1\right){x}-26a+117$ |
| 112896.1-i3 |
112896.1-i |
$4$ |
$14$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{20} \cdot 7^{3} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 7$ |
2B, 7B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.536868520$ |
1.239844739 |
\( -\frac{547472}{2187} a + \frac{48160}{27} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -155 a - 11\) , \( 85 a + 192\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-155a-11\right){x}+85a+192$ |
| 112896.1-i4 |
112896.1-i |
$4$ |
$14$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{13} \cdot 7^{3} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 7$ |
2B, 7B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.073737041$ |
1.239844739 |
\( -\frac{47028992}{81} a + \frac{48771328}{81} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -110 a - 26\) , \( 523 a - 129\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-110a-26\right){x}+523a-129$ |
| 112896.1-j1 |
112896.1-j |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{7} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.450177214$ |
$1.228270874$ |
4.113529298 |
\( \frac{3840}{7} a - \frac{768}{7} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 24 a - 15\) , \( 75 a - 53\bigr] \) |
${y}^2={x}^{3}+\left(24a-15\right){x}+75a-53$ |
| 112896.1-j2 |
112896.1-j |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{9} \cdot 7^{8} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.725088607$ |
$0.614135437$ |
4.113529298 |
\( -\frac{242448}{49} a + \frac{302304}{49} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -171 a + 15\) , \( 852 a - 410\bigr] \) |
${y}^2={x}^{3}+\left(-171a+15\right){x}+852a-410$ |
| 112896.1-k1 |
112896.1-k |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{9} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.839337644$ |
1.938367259 |
\( \frac{41728}{9} a - \frac{14336}{9} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 42 a - 93\) , \( -144 a + 369\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(42a-93\right){x}-144a+369$ |
| 112896.1-k2 |
112896.1-k |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{12} \cdot 7^{9} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.419668822$ |
1.938367259 |
\( -\frac{29968}{27} a + \frac{11248}{27} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -243 a + 177\) , \( -1521 a + 1836\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-243a+177\right){x}-1521a+1836$ |
| 112896.1-l1 |
112896.1-l |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{3} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.220678673$ |
2.564218859 |
\( \frac{41728}{9} a - \frac{14336}{9} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 13 a - 11\) , \( 22 a - 18\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(13a-11\right){x}+22a-18$ |
| 112896.1-l2 |
112896.1-l |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{12} \cdot 7^{3} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.110339336$ |
2.564218859 |
\( -\frac{29968}{27} a + \frac{11248}{27} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -32 a + 4\) , \( 88 a - 12\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-32a+4\right){x}+88a-12$ |
| 112896.1-m1 |
112896.1-m |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 7^{8} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2Cn |
$1$ |
\( 2 \cdot 3 \) |
$0.361026471$ |
$0.841467970$ |
4.209468375 |
\( 1024 a + 2048 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 73 a + 4\) , \( 82 a + 123\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(73a+4\right){x}+82a+123$ |
| 112896.1-n1 |
112896.1-n |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 7^{2} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2Cn |
$1$ |
\( 2 \) |
$0.446013461$ |
$2.226314985$ |
4.586315586 |
\( 1024 a + 2048 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 9 a - 12\) , \( 6 a - 3\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(9a-12\right){x}+6a-3$ |
| 112896.1-o1 |
112896.1-o |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{7} \cdot 7^{7} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.338531005$ |
1.563607735 |
\( -\frac{325140500}{21} a - \frac{202293500}{21} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -2364 a + 1080\) , \( -32508 a + 40104\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-2364a+1080\right){x}-32508a+40104$ |
| 112896.1-o2 |
112896.1-o |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{22} \cdot 3^{14} \cdot 7^{8} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.169265502$ |
1.563607735 |
\( \frac{11086896250}{3969} a - \frac{3415354000}{3969} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 2076 a + 4920\) , \( -194364 a + 180072\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(2076a+4920\right){x}-194364a+180072$ |
| 112896.1-o3 |
112896.1-o |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{22} \cdot 3^{8} \cdot 7^{14} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.169265502$ |
1.563607735 |
\( -\frac{27056768750}{17294403} a - \frac{239701516000}{17294403} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 3036 a - 1560\) , \( -44124 a - 16728\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(3036a-1560\right){x}-44124a-16728$ |
| 112896.1-o4 |
112896.1-o |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{8} \cdot 7^{8} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$0.677062010$ |
1.563607735 |
\( \frac{746000}{147} a - \frac{488000}{147} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -144 a + 60\) , \( -540 a + 720\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-144a+60\right){x}-540a+720$ |
*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.
