| 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 |
| 7200.2-a1 |
7200.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{8} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$2$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.917959819$ |
$2.772315553$ |
3.598995727 |
\( \frac{2863288}{1875} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 6\) , \( 3\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+6{x}+3$ |
| 7200.2-a2 |
7200.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{4} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.229489954$ |
$2.772315553$ |
3.598995727 |
\( \frac{438976}{225} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -6\) , \( 0\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-6{x}$ |
| 7200.2-a3 |
7200.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{2} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.229489954$ |
$2.772315553$ |
3.598995727 |
\( \frac{38614472}{405} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -13\) , \( -22\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-13{x}-22$ |
| 7200.2-a4 |
7200.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{2} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$0.917959819$ |
$2.772315553$ |
3.598995727 |
\( \frac{14526784}{15} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -20\) , \( 42\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-20{x}+42$ |
| 7200.2-b1 |
7200.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{8} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.516278469$ |
$1.662808929$ |
2.428126763 |
\( \frac{85184}{5625} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 4\) , \( -30\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+4{x}-30$ |
| 7200.2-b2 |
7200.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{16} \cdot 5^{2} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.516278469$ |
$1.662808929$ |
2.428126763 |
\( \frac{111980168}{32805} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -20\) , \( 21\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-20{x}+21$ |
| 7200.2-b3 |
7200.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{4} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1.032556939$ |
$1.662808929$ |
2.428126763 |
\( \frac{48228544}{2025} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -30\) , \( 72\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-30{x}+72$ |
| 7200.2-b4 |
7200.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{2} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$2.065113879$ |
$1.662808929$ |
2.428126763 |
\( \frac{23937672968}{45} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -119\) , \( -526\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-119{x}-526$ |
| 7200.2-c1 |
7200.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{2} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.379327376$ |
$2.563932044$ |
2.750842285 |
\( \frac{85184}{405} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 4\) , \( 6\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+4{x}+6$ |
| 7200.2-c2 |
7200.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{8} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.517309507$ |
$2.563932044$ |
2.750842285 |
\( \frac{14172488}{1875} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -9\) , \( -12\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-9{x}-12$ |
| 7200.2-c3 |
7200.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{4} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$0.758654753$ |
$2.563932044$ |
2.750842285 |
\( \frac{1906624}{225} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -10\) , \( -8\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-10{x}-8$ |
| 7200.2-c4 |
7200.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1.517309507$ |
$2.563932044$ |
2.750842285 |
\( \frac{890277128}{15} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -40\) , \( 91\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-40{x}+91$ |
| 7200.2-d1 |
7200.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{24} \cdot 5^{4} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{4} \) |
$1$ |
$0.645239508$ |
1.825012928 |
\( \frac{2863288}{13286025} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 6\) , \( -495\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+6{x}-495$ |
| 7200.2-d2 |
7200.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{16} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$4$ |
\( 2^{4} \) |
$1$ |
$0.645239508$ |
1.825012928 |
\( \frac{26410345352}{10546875} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -123\) , \( 276\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-123{x}+276$ |
| 7200.2-d3 |
7200.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{8} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{6} \) |
$1$ |
$0.645239508$ |
1.825012928 |
\( \frac{20034997696}{455625} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -226\) , \( 1360\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-226{x}+1360$ |
| 7200.2-d4 |
7200.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{9} \cdot 3^{30} \cdot 5^{2} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$4$ |
\( 2^{3} \) |
$1$ |
$0.322619754$ |
1.825012928 |
\( -\frac{10809830805390674}{1412147682405} a + \frac{16621939271429864}{282429536481} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 575 a + 506\) , \( 510 a - 11145\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(575a+506\right){x}+510a-11145$ |
| 7200.2-d5 |
7200.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{9} \cdot 3^{30} \cdot 5^{2} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$4$ |
\( 2^{3} \) |
$1$ |
$0.322619754$ |
1.825012928 |
\( \frac{10809830805390674}{1412147682405} a + \frac{16621939271429864}{282429536481} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -575 a + 506\) , \( -510 a - 11145\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(-575a+506\right){x}-510a-11145$ |
| 7200.2-d6 |
7200.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{4} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$16$ |
\( 2^{2} \) |
$1$ |
$0.645239508$ |
1.825012928 |
\( \frac{1261112198464}{675} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -900\) , \( -10098\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-900{x}-10098$ |
| 7200.2-e1 |
7200.2-e |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{12} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.106274896$ |
1.564508962 |
\( \frac{164566592}{46875} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 45\) , \( 75 a\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+45{x}+75a$ |
| 7200.2-e2 |
7200.2-e |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{6} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.106274896$ |
1.564508962 |
\( \frac{8144865728}{1125} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 167\) , \( -535 a\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+167{x}-535a$ |
| 7200.2-f1 |
7200.2-f |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{4} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.841903165$ |
$3.204674283$ |
3.815584145 |
\( \frac{314432}{75} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 5\) , \( -a\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+5{x}-a$ |
| 7200.2-f2 |
7200.2-f |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{2} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.420951582$ |
$3.204674283$ |
3.815584145 |
\( \frac{778688}{45} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 7\) , \( -3 a\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+7{x}-3a$ |
| 7200.2-g1 |
7200.2-g |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{28} \cdot 5^{6} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 7 \) |
$1$ |
$0.234877502$ |
2.325168642 |
\( \frac{1241603628992}{597871125} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 895\) , \( -2691 a\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+895{x}-2691a$ |
| 7200.2-g2 |
7200.2-g |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{14} \cdot 5^{12} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 7 \) |
$1$ |
$0.234877502$ |
2.325168642 |
\( \frac{44708635815488}{34171875} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 2957\) , \( 44735 a\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+2957{x}+44735a$ |
| 7200.2-h1 |
7200.2-h |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{8} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$1.353016029$ |
1.913453619 |
\( -\frac{5984161936}{50625} a - \frac{12448630088}{50625} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( -49 a + 22\) , \( -20 a + 242\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-49a+22\right){x}-20a+242$ |
| 7200.2-h2 |
7200.2-h |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{2} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$1.353016029$ |
1.913453619 |
\( \frac{626773504}{32805} a - \frac{3143943488}{32805} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -28 a - 45\) , \( 97 a + 100\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(-28a-45\right){x}+97a+100$ |
| 7200.2-h3 |
7200.2-h |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{4} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$1.353016029$ |
1.913453619 |
\( \frac{25586176}{164025} a + \frac{69298112}{164025} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -12 a - 3\) , \( -9 a - 36\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(-12a-3\right){x}-9a-36$ |
| 7200.2-h4 |
7200.2-h |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{18} \cdot 5^{2} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.353016029$ |
1.913453619 |
\( -\frac{259629949744}{215233605} a + \frac{1056066734008}{215233605} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( 21 a + 13\) , \( 41\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(21a+13\right){x}+41$ |
| 7200.2-i1 |
7200.2-i |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{8} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.478863113$ |
$1.353016029$ |
3.665129429 |
\( \frac{5984161936}{50625} a - \frac{12448630088}{50625} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( 47 a + 23\) , \( -68 a - 263\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(47a+23\right){x}-68a-263$ |
| 7200.2-i2 |
7200.2-i |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{2} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.478863113$ |
$1.353016029$ |
3.665129429 |
\( -\frac{626773504}{32805} a - \frac{3143943488}{32805} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 28 a - 45\) , \( 97 a - 100\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(28a-45\right){x}+97a-100$ |
| 7200.2-i3 |
7200.2-i |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{4} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$0.239431556$ |
$1.353016029$ |
3.665129429 |
\( -\frac{25586176}{164025} a + \frac{69298112}{164025} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 12 a - 3\) , \( -9 a + 36\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(12a-3\right){x}-9a+36$ |
| 7200.2-i4 |
7200.2-i |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{18} \cdot 5^{2} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.478863113$ |
$1.353016029$ |
3.665129429 |
\( \frac{259629949744}{215233605} a + \frac{1056066734008}{215233605} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( -23 a + 12\) , \( 22 a - 52\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-23a+12\right){x}+22a-52$ |
| 7200.2-j1 |
7200.2-j |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{2} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.248931750$ |
$1.748287338$ |
3.692830331 |
\( \frac{6644672}{3645} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 15\) , \( 9 a\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+15{x}+9a$ |
| 7200.2-j2 |
7200.2-j |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{4} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.497863501$ |
$1.748287338$ |
3.692830331 |
\( \frac{92345408}{675} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 37\) , \( 75 a\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+37{x}+75a$ |
| 7200.2-k1 |
7200.2-k |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{2} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.248931750$ |
$1.748287338$ |
3.692830331 |
\( \frac{6644672}{3645} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 15\) , \( -9 a\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+15{x}-9a$ |
| 7200.2-k2 |
7200.2-k |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{4} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.497863501$ |
$1.748287338$ |
3.692830331 |
\( \frac{92345408}{675} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 37\) , \( -75 a\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+37{x}-75a$ |
| 7200.2-l1 |
7200.2-l |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{8} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.478863113$ |
$1.353016029$ |
3.665129429 |
\( -\frac{5984161936}{50625} a - \frac{12448630088}{50625} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( -47 a + 23\) , \( 68 a - 263\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-47a+23\right){x}+68a-263$ |
| 7200.2-l2 |
7200.2-l |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{2} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.478863113$ |
$1.353016029$ |
3.665129429 |
\( \frac{626773504}{32805} a - \frac{3143943488}{32805} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -28 a - 45\) , \( -97 a - 100\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-28a-45\right){x}-97a-100$ |
| 7200.2-l3 |
7200.2-l |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{4} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$0.239431556$ |
$1.353016029$ |
3.665129429 |
\( \frac{25586176}{164025} a + \frac{69298112}{164025} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -12 a - 3\) , \( 9 a + 36\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-12a-3\right){x}+9a+36$ |
| 7200.2-l4 |
7200.2-l |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{18} \cdot 5^{2} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.478863113$ |
$1.353016029$ |
3.665129429 |
\( -\frac{259629949744}{215233605} a + \frac{1056066734008}{215233605} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 23 a + 12\) , \( -22 a - 52\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(23a+12\right){x}-22a-52$ |
| 7200.2-m1 |
7200.2-m |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{8} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$1.353016029$ |
1.913453619 |
\( \frac{5984161936}{50625} a - \frac{12448630088}{50625} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 49 a + 22\) , \( 20 a + 242\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(49a+22\right){x}+20a+242$ |
| 7200.2-m2 |
7200.2-m |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{2} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$1.353016029$ |
1.913453619 |
\( -\frac{626773504}{32805} a - \frac{3143943488}{32805} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 28 a - 45\) , \( -97 a + 100\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(28a-45\right){x}-97a+100$ |
| 7200.2-m3 |
7200.2-m |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{4} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$1.353016029$ |
1.913453619 |
\( -\frac{25586176}{164025} a + \frac{69298112}{164025} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 12 a - 3\) , \( 9 a - 36\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(12a-3\right){x}+9a-36$ |
| 7200.2-m4 |
7200.2-m |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{18} \cdot 5^{2} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.353016029$ |
1.913453619 |
\( \frac{259629949744}{215233605} a + \frac{1056066734008}{215233605} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( -21 a + 13\) , \( 41\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-21a+13\right){x}+41$ |
| 7200.2-n1 |
7200.2-n |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{12} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.106274896$ |
1.564508962 |
\( \frac{164566592}{46875} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 45\) , \( -75 a\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+45{x}-75a$ |
| 7200.2-n2 |
7200.2-n |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{6} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.106274896$ |
1.564508962 |
\( \frac{8144865728}{1125} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 167\) , \( 535 a\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+167{x}+535a$ |
| 7200.2-o1 |
7200.2-o |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{4} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.841903165$ |
$3.204674283$ |
3.815584145 |
\( \frac{314432}{75} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 5\) , \( a\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+5{x}+a$ |
| 7200.2-o2 |
7200.2-o |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{2} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.420951582$ |
$3.204674283$ |
3.815584145 |
\( \frac{778688}{45} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 7\) , \( 3 a\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+7{x}+3a$ |
| 7200.2-p1 |
7200.2-p |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{28} \cdot 5^{6} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 7 \) |
$1$ |
$0.234877502$ |
2.325168642 |
\( \frac{1241603628992}{597871125} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 895\) , \( 2691 a\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+895{x}+2691a$ |
| 7200.2-p2 |
7200.2-p |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7200.2 |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{14} \cdot 5^{12} \) |
$2.32818$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 7 \) |
$1$ |
$0.234877502$ |
2.325168642 |
\( \frac{44708635815488}{34171875} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 2957\) , \( -44735 a\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+2957{x}-44735a$ |
*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.
