| 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 |
| 3600.2-a1 |
3600.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 1 \) |
$0.891621139$ |
$6.963173771$ |
2.195040798 |
\( \frac{21296}{15} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 1\) , \( 0\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+{x}$ |
| 3600.2-a2 |
3600.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{4} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$0.445810569$ |
$3.481586885$ |
2.195040798 |
\( \frac{470596}{225} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -4\) , \( -2\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-4{x}-2$ |
| 3600.2-a3 |
3600.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{8} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.891621139$ |
$1.740793442$ |
2.195040798 |
\( \frac{136835858}{1875} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -34\) , \( 70\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-34{x}+70$ |
| 3600.2-a4 |
3600.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{2} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.222905284$ |
$1.740793442$ |
2.195040798 |
\( \frac{546718898}{405} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -54\) , \( -162\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-54{x}-162$ |
| 3600.2-b1 |
3600.2-b |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{36} \cdot 3^{2} \cdot 5^{6} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.647145070$ |
1.372802002 |
\( -\frac{273359449}{1536000} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -54\) , \( -510\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-54{x}-510$ |
| 3600.2-b2 |
3600.2-b |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{20} \cdot 3^{6} \cdot 5^{2} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.941435210$ |
1.372802002 |
\( \frac{357911}{2160} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 6\) , \( 18\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+6{x}+18$ |
| 3600.2-b3 |
3600.2-b |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{24} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.161786267$ |
1.372802002 |
\( \frac{10316097499609}{5859375000} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -1814\) , \( -4350\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-1814{x}-4350$ |
| 3600.2-b4 |
3600.2-b |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{14} \cdot 3^{24} \cdot 5^{2} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.485358802$ |
1.372802002 |
\( \frac{35578826569}{5314410} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -274\) , \( -1550\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-274{x}-1550$ |
| 3600.2-b5 |
3600.2-b |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{12} \cdot 5^{4} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.970717605$ |
1.372802002 |
\( \frac{702595369}{72900} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -74\) , \( 210\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-74{x}+210$ |
| 3600.2-b6 |
3600.2-b |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{24} \cdot 3^{4} \cdot 5^{12} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.323572535$ |
1.372802002 |
\( \frac{4102915888729}{9000000} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -1334\) , \( -18942\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-1334{x}-18942$ |
| 3600.2-b7 |
3600.2-b |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{8} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{4} \) |
$1$ |
$0.485358802$ |
1.372802002 |
\( \frac{2656166199049}{33750} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -1154\) , \( 14898\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-1154{x}+14898$ |
| 3600.2-b8 |
3600.2-b |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{8} \cdot 5^{6} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.161786267$ |
1.372802002 |
\( \frac{16778985534208729}{81000} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -21334\) , \( -1202942\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-21334{x}-1202942$ |
| 3600.2-c1 |
3600.2-c |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{16} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1.146228852$ |
$0.765787510$ |
2.482702081 |
\( -\frac{27995042}{1171875} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -20\) , \( -300\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-20{x}-300$ |
| 3600.2-c2 |
3600.2-c |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{16} \cdot 5^{2} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.573114426$ |
$1.531575020$ |
2.482702081 |
\( \frac{54607676}{32805} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 20\) , \( 10\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+20{x}+10$ |
| 3600.2-c3 |
3600.2-c |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{4} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1.146228852$ |
$3.063150040$ |
2.482702081 |
\( \frac{3631696}{2025} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -5\) , \( 0\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-5{x}$ |
| 3600.2-c4 |
3600.2-c |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$2.292457704$ |
$1.531575020$ |
2.482702081 |
\( \frac{868327204}{5625} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -50\) , \( -144\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-50{x}-144$ |
| 3600.2-c5 |
3600.2-c |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.573114426$ |
$3.063150040$ |
2.482702081 |
\( \frac{24918016}{45} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -15\) , \( -18\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-15{x}-18$ |
| 3600.2-c6 |
3600.2-c |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{4} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$4.584915408$ |
$0.765787510$ |
2.482702081 |
\( \frac{1770025017602}{75} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -800\) , \( -8844\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-800{x}-8844$ |
| 3600.2-d1 |
3600.2-d |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.752275011$ |
1.946152324 |
\( \frac{20283392}{6075} a - \frac{5636096}{6075} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -4 a - 6\) , \( -8 a + 1\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(-4a-6\right){x}-8a+1$ |
| 3600.2-d2 |
3600.2-d |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{2} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.752275011$ |
1.946152324 |
\( -\frac{171491008}{295245} a - \frac{176375504}{295245} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( -2 a + 5\) , \( 6 a + 3\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-2a+5\right){x}+6a+3$ |
| 3600.2-e1 |
3600.2-e |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.752275011$ |
1.946152324 |
\( -\frac{20283392}{6075} a - \frac{5636096}{6075} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 4 a - 6\) , \( 8 a + 1\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(4a-6\right){x}+8a+1$ |
| 3600.2-e2 |
3600.2-e |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{2} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.752275011$ |
1.946152324 |
\( \frac{171491008}{295245} a - \frac{176375504}{295245} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 2 a + 5\) , \( -6 a + 3\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(2a+5\right){x}-6a+3$ |
| 3600.2-f1 |
3600.2-f |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{32} \cdot 5^{2} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{10} \) |
$1$ |
$0.279462714$ |
3.161759683 |
\( -\frac{147281603041}{215233605} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -439\) , \( -6598\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-439{x}-6598$ |
| 3600.2-f2 |
3600.2-f |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{2} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$4.471403425$ |
3.161759683 |
\( -\frac{1}{15} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( 1\) , \( 2\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}+2$ |
| 3600.2-f3 |
3600.2-f |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{16} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$1$ |
$0.558925428$ |
3.161759683 |
\( \frac{4733169839}{3515625} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( 141\) , \( -362\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+141{x}-362$ |
| 3600.2-f4 |
3600.2-f |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{8} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{8} \) |
$1$ |
$1.117850856$ |
3.161759683 |
\( \frac{111284641}{50625} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -39\) , \( -38\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-39{x}-38$ |
| 3600.2-f5 |
3600.2-f |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{4} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$2.235701712$ |
3.161759683 |
\( \frac{13997521}{225} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -19\) , \( 38\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-19{x}+38$ |
| 3600.2-f6 |
3600.2-f |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{16} \cdot 5^{4} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{9} \) |
$1$ |
$0.558925428$ |
3.161759683 |
\( \frac{272223782641}{164025} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -539\) , \( -4738\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-539{x}-4738$ |
| 3600.2-f7 |
3600.2-f |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{2} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$1.117850856$ |
3.161759683 |
\( \frac{56667352321}{15} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -319\) , \( 2258\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-319{x}+2258$ |
| 3600.2-f8 |
3600.2-f |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
3600.2 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{2} \) |
$1.95776$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$4$ |
\( 2^{6} \) |
$1$ |
$0.279462714$ |
3.161759683 |
\( \frac{1114544804970241}{405} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -8639\) , \( -307678\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-8639{x}-307678$ |
*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.
