| 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 |
| 82944.1-CMf1 |
82944.1-CMf |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{18} \cdot 3^{18} \) |
$3.03295$ |
$(a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-4$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{2} \) |
$1$ |
$0.935594285$ |
0.935594285 |
\( 1728 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 54 i\) , \( 0\bigr] \) |
${y}^2={x}^{3}+54i{x}$ |
| 82944.1-CMe1 |
82944.1-CMe |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{18} \cdot 3^{18} \) |
$3.03295$ |
$(a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-4$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{2} \) |
$1$ |
$0.935594285$ |
0.935594285 |
\( 1728 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -54 i\) , \( 0\bigr] \) |
${y}^2={x}^{3}-54i{x}$ |
| 82944.1-CMd1 |
82944.1-CMd |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{18} \cdot 3^{12} \) |
$3.03295$ |
$(a+1), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{yes}$ |
$-4$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$1.620496837$ |
1.620496837 |
\( 1728 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 18 i\) , \( 0\bigr] \) |
${y}^2={x}^{3}+18i{x}$ |
| 82944.1-CMd2 |
82944.1-CMd |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{24} \cdot 3^{12} \) |
$3.03295$ |
$(a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-16$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{3} \) |
$1$ |
$0.810248418$ |
1.620496837 |
\( 287496 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 198 i\) , \( -756 i - 756\bigr] \) |
${y}^2={x}^{3}+198i{x}-756i-756$ |
| 82944.1-CMc1 |
82944.1-CMc |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{18} \cdot 3^{12} \) |
$3.03295$ |
$(a+1), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{yes}$ |
$-4$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$1.620496837$ |
1.620496837 |
\( 1728 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -18 i\) , \( 0\bigr] \) |
${y}^2={x}^{3}-18i{x}$ |
| 82944.1-CMc2 |
82944.1-CMc |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{24} \cdot 3^{12} \) |
$3.03295$ |
$(a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-16$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{3} \) |
$1$ |
$0.810248418$ |
1.620496837 |
\( 287496 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -198 i\) , \( 756 i - 756\bigr] \) |
${y}^2={x}^{3}-198i{x}+756i-756$ |
| 82944.1-CMb1 |
82944.1-CMb |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{18} \cdot 3^{6} \) |
$3.03295$ |
$(a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-4$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{2} \) |
$1$ |
$2.806782856$ |
2.806782856 |
\( 1728 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 6 i\) , \( 0\bigr] \) |
${y}^2={x}^{3}+6i{x}$ |
| 82944.1-CMa1 |
82944.1-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{18} \cdot 3^{6} \) |
$3.03295$ |
$(a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-4$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{2} \) |
$1$ |
$2.806782856$ |
2.806782856 |
\( 1728 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -6 i\) , \( 0\bigr] \) |
${y}^2={x}^{3}-6i{x}$ |
| 82944.1-a1 |
82944.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{14} \cdot 3^{24} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.327571650$ |
$0.684949667$ |
1.818639520 |
\( -\frac{219488}{729} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -57\) , \( 430\bigr] \) |
${y}^2={x}^{3}-57{x}+430$ |
| 82944.1-a2 |
82944.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{16} \cdot 3^{18} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.663785825$ |
$0.684949667$ |
1.818639520 |
\( \frac{19056256}{27} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 318\) , \( -2180 i\bigr] \) |
${y}^2={x}^{3}+318{x}-2180i$ |
| 82944.1-b1 |
82944.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{22} \cdot 3^{16} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.881508905$ |
$0.817595234$ |
2.882869919 |
\( 4048 a - \frac{58624}{9} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 18 i - 96\) , \( 92 i - 396\bigr] \) |
${y}^2={x}^{3}+\left(18i-96\right){x}+92i-396$ |
| 82944.1-b2 |
82944.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{14} \cdot 3^{14} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.440754452$ |
$1.635190468$ |
2.882869919 |
\( -\frac{6656}{3} a - 1536 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 18 i - 6\) , \( -34 i - 18\bigr] \) |
${y}^2={x}^{3}+\left(18i-6\right){x}-34i-18$ |
| 82944.1-c1 |
82944.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{16} \cdot 3^{18} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.513210019$ |
$1.015503489$ |
3.073340111 |
\( 3456 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 54\) , \( 108 i\bigr] \) |
${y}^2={x}^{3}+54{x}+108i$ |
| 82944.1-c2 |
82944.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{14} \cdot 3^{18} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
✓ |
$2$ |
2B |
$1$ |
\( 2 \) |
$3.026420039$ |
$1.015503489$ |
3.073340111 |
\( 23328 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -81\) , \( -270\bigr] \) |
${y}^2={x}^{3}-81{x}-270$ |
| 82944.1-d1 |
82944.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{16} \cdot 3^{6} \) |
$3.03295$ |
$(a+1), (3)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.463422709$ |
$3.046510469$ |
5.647288540 |
\( 3456 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -6\) , \( -4\bigr] \) |
${y}^2={x}^{3}-6{x}-4$ |
| 82944.1-d2 |
82944.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{14} \cdot 3^{6} \) |
$3.03295$ |
$(a+1), (3)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.463422709$ |
$3.046510469$ |
5.647288540 |
\( 23328 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 9\) , \( -10 i\bigr] \) |
${y}^2={x}^{3}+9{x}-10i$ |
| 82944.1-e1 |
82944.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{23} \cdot 3^{12} \) |
$3.03295$ |
$(a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.924132335$ |
1.848264670 |
\( -118792 a - 11528 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -90 i - 96\) , \( 524 i + 252\bigr] \) |
${y}^2={x}^{3}+\left(-90i-96\right){x}+524i+252$ |
| 82944.1-e2 |
82944.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{23} \cdot 3^{12} \) |
$3.03295$ |
$(a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.924132335$ |
1.848264670 |
\( 118792 a - 11528 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 90 i - 96\) , \( 524 i - 252\bigr] \) |
${y}^2={x}^{3}+\left(90i-96\right){x}+524i-252$ |
| 82944.1-e3 |
82944.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{16} \cdot 3^{12} \) |
$3.03295$ |
$(a+1), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
✓ |
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$1.848264670$ |
1.848264670 |
\( 128 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -6\) , \( 20 i\bigr] \) |
${y}^2={x}^{3}-6{x}+20i$ |
| 82944.1-e4 |
82944.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{14} \cdot 3^{12} \) |
$3.03295$ |
$(a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.848264670$ |
1.848264670 |
\( 10976 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -21\) , \( 34\bigr] \) |
${y}^2={x}^{3}-21{x}+34$ |
| 82944.1-f1 |
82944.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{24} \cdot 3^{20} \) |
$3.03295$ |
$(a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.552807666$ |
1.105615333 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 138 i\) , \( 292 i - 292\bigr] \) |
${y}^2={x}^{3}+138i{x}+292i-292$ |
| 82944.1-f2 |
82944.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{18} \cdot 3^{16} \) |
$3.03295$ |
$(a+1), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$1.105615333$ |
1.105615333 |
\( \frac{21952}{9} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -42 i\) , \( 40 i - 40\bigr] \) |
${y}^2={x}^{3}-42i{x}+40i-40$ |
| 82944.1-f3 |
82944.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{18} \cdot 3^{14} \) |
$3.03295$ |
$(a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.105615333$ |
1.105615333 |
\( \frac{140608}{3} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 78 i\) , \( 184 i + 184\bigr] \) |
${y}^2={x}^{3}+78i{x}+184i+184$ |
| 82944.1-f4 |
82944.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{24} \cdot 3^{14} \) |
$3.03295$ |
$(a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.552807666$ |
1.105615333 |
\( \frac{7301384}{3} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -582 i\) , \( -3820 i + 3820\bigr] \) |
${y}^2={x}^{3}-582i{x}-3820i+3820$ |
| 82944.1-g1 |
82944.1-g |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{28} \cdot 3^{28} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$2.775499807$ |
$0.214214877$ |
4.756426807 |
\( \frac{207646}{6561} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -282 i\) , \( 9436 i + 9436\bigr] \) |
${y}^2={x}^{3}-282i{x}+9436i+9436$ |
| 82944.1-g2 |
82944.1-g |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{14} \cdot 3^{14} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.387749903$ |
$1.713719018$ |
4.756426807 |
\( \frac{2048}{3} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -12 i\) , \( -14 i - 14\bigr] \) |
${y}^2={x}^{3}-12i{x}-14i-14$ |
| 82944.1-g3 |
82944.1-g |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{22} \cdot 3^{16} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$2.775499807$ |
$0.856859509$ |
4.756426807 |
\( \frac{35152}{9} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 78 i\) , \( -140 i - 140\bigr] \) |
${y}^2={x}^{3}+78i{x}-140i-140$ |
| 82944.1-g4 |
82944.1-g |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{26} \cdot 3^{20} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$5.550999615$ |
$0.428429754$ |
4.756426807 |
\( \frac{1556068}{81} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 438 i\) , \( 2380 i + 2380\bigr] \) |
${y}^2={x}^{3}+438i{x}+2380i+2380$ |
| 82944.1-g5 |
82944.1-g |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{26} \cdot 3^{14} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$5.550999615$ |
$0.428429754$ |
4.756426807 |
\( \frac{28756228}{3} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 1158 i\) , \( -10724 i - 10724\bigr] \) |
${y}^2={x}^{3}+1158i{x}-10724i-10724$ |
| 82944.1-g6 |
82944.1-g |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{28} \cdot 3^{16} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$2.775499807$ |
$0.214214877$ |
4.756426807 |
\( \frac{3065617154}{9} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 6918 i\) , \( 156604 i + 156604\bigr] \) |
${y}^2={x}^{3}+6918i{x}+156604i+156604$ |
| 82944.1-h1 |
82944.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{22} \cdot 3^{16} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.881508905$ |
$0.817595234$ |
2.882869919 |
\( -4048 a - \frac{58624}{9} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -18 i - 96\) , \( -92 i - 396\bigr] \) |
${y}^2={x}^{3}+\left(-18i-96\right){x}-92i-396$ |
| 82944.1-h2 |
82944.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{14} \cdot 3^{14} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.440754452$ |
$1.635190468$ |
2.882869919 |
\( \frac{6656}{3} a - 1536 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -18 i - 6\) , \( 34 i - 18\bigr] \) |
${y}^2={x}^{3}+\left(-18i-6\right){x}+34i-18$ |
| 82944.1-i1 |
82944.1-i |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{14} \cdot 3^{16} \) |
$3.03295$ |
$(a+1), (3)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.562854619$ |
$1.430862689$ |
6.442941394 |
\( \frac{4000}{9} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -15\) , \( -38 i\bigr] \) |
${y}^2={x}^{3}-15{x}-38i$ |
| 82944.1-i2 |
82944.1-i |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{16} \cdot 3^{14} \) |
$3.03295$ |
$(a+1), (3)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.562854619$ |
$1.430862689$ |
6.442941394 |
\( \frac{16000}{3} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -30\) , \( -52\bigr] \) |
${y}^2={x}^{3}-30{x}-52$ |
| 82944.1-j1 |
82944.1-j |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{14} \cdot 3^{6} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.627864011$ |
$3.611983263$ |
4.535668605 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( -2 i - 2\bigr] \) |
${y}^2={x}^{3}-2i-2$ |
| 82944.1-j2 |
82944.1-j |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{14} \cdot 3^{18} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.883592035$ |
$1.203994421$ |
4.535668605 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 54 i + 54\bigr] \) |
${y}^2={x}^{3}+54i+54$ |
| 82944.1-j3 |
82944.1-j |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{22} \cdot 3^{18} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-12$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{2} \) |
$3.767184071$ |
$0.601997210$ |
4.535668605 |
\( 54000 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 270 i\) , \( 1188 i + 1188\bigr] \) |
${y}^2={x}^{3}+270i{x}+1188i+1188$ |
| 82944.1-j4 |
82944.1-j |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{22} \cdot 3^{6} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-12$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{2} \) |
$1.255728023$ |
$1.805991631$ |
4.535668605 |
\( 54000 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 30 i\) , \( -44 i - 44\bigr] \) |
${y}^2={x}^{3}+30i{x}-44i-44$ |
| 82944.1-k1 |
82944.1-k |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{14} \cdot 3^{18} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.883592035$ |
$1.203994421$ |
4.535668605 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( -54 i + 54\bigr] \) |
${y}^2={x}^{3}-54i+54$ |
| 82944.1-k2 |
82944.1-k |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{14} \cdot 3^{6} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-3$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.627864011$ |
$3.611983263$ |
4.535668605 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 2 i - 2\bigr] \) |
${y}^2={x}^{3}+2i-2$ |
| 82944.1-k3 |
82944.1-k |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{22} \cdot 3^{6} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-12$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{2} \) |
$1.255728023$ |
$1.805991631$ |
4.535668605 |
\( 54000 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -30 i\) , \( 44 i - 44\bigr] \) |
${y}^2={x}^{3}-30i{x}+44i-44$ |
| 82944.1-k4 |
82944.1-k |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{22} \cdot 3^{18} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-12$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{2} \) |
$3.767184071$ |
$0.601997210$ |
4.535668605 |
\( 54000 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -270 i\) , \( -1188 i + 1188\bigr] \) |
${y}^2={x}^{3}-270i{x}-1188i+1188$ |
| 82944.1-l1 |
82944.1-l |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{14} \cdot 3^{16} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.696743987$ |
$1.430862689$ |
4.855615331 |
\( \frac{4000}{9} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 15\) , \( -38\bigr] \) |
${y}^2={x}^{3}+15{x}-38$ |
| 82944.1-l2 |
82944.1-l |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{16} \cdot 3^{14} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.848371993$ |
$1.430862689$ |
4.855615331 |
\( \frac{16000}{3} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 30\) , \( 52 i\bigr] \) |
${y}^2={x}^{3}+30{x}+52i$ |
| 82944.1-m1 |
82944.1-m |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{22} \cdot 3^{16} \) |
$3.03295$ |
$(a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.817595234$ |
3.270380936 |
\( -4048 a - \frac{58624}{9} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 18 i + 96\) , \( 396 i - 92\bigr] \) |
${y}^2={x}^{3}+\left(18i+96\right){x}+396i-92$ |
| 82944.1-m2 |
82944.1-m |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{14} \cdot 3^{14} \) |
$3.03295$ |
$(a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.635190468$ |
3.270380936 |
\( \frac{6656}{3} a - 1536 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 18 i + 6\) , \( 18 i + 34\bigr] \) |
${y}^2={x}^{3}+\left(18i+6\right){x}+18i+34$ |
| 82944.1-n1 |
82944.1-n |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{28} \cdot 3^{28} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$2.775499807$ |
$0.214214877$ |
4.756426807 |
\( \frac{207646}{6561} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 282 i\) , \( -9436 i + 9436\bigr] \) |
${y}^2={x}^{3}+282i{x}-9436i+9436$ |
| 82944.1-n2 |
82944.1-n |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{14} \cdot 3^{14} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.387749903$ |
$1.713719018$ |
4.756426807 |
\( \frac{2048}{3} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 12 i\) , \( 14 i - 14\bigr] \) |
${y}^2={x}^{3}+12i{x}+14i-14$ |
| 82944.1-n3 |
82944.1-n |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{22} \cdot 3^{16} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$2.775499807$ |
$0.856859509$ |
4.756426807 |
\( \frac{35152}{9} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -78 i\) , \( 140 i - 140\bigr] \) |
${y}^2={x}^{3}-78i{x}+140i-140$ |
| 82944.1-n4 |
82944.1-n |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
82944.1 |
\( 2^{10} \cdot 3^{4} \) |
\( 2^{26} \cdot 3^{20} \) |
$3.03295$ |
$(a+1), (3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$5.550999615$ |
$0.428429754$ |
4.756426807 |
\( \frac{1556068}{81} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -438 i\) , \( -2380 i + 2380\bigr] \) |
${y}^2={x}^{3}-438i{x}-2380i+2380$ |
*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.
