| 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 |
| 32400.3-a1 |
32400.3-a |
$4$ |
$6$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{24} \cdot 3^{18} \cdot 5^{2} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$1.325410413$ |
$0.469993681$ |
7.047699573 |
\( -\frac{1860867}{320} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -276\) , \( -1880\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-276{x}-1880$ |
| 32400.3-a2 |
32400.3-a |
$4$ |
$6$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{6} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$0.147267823$ |
$1.409981044$ |
7.047699573 |
\( \frac{804357}{500} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 24\) , \( 0\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+24{x}$ |
| 32400.3-a3 |
32400.3-a |
$4$ |
$6$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{12} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \cdot 3 \) |
$0.147267823$ |
$0.704990522$ |
7.047699573 |
\( \frac{57960603}{31250} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -96\) , \( 144\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-96{x}+144$ |
| 32400.3-a4 |
32400.3-a |
$4$ |
$6$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{18} \cdot 5^{4} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \) |
$1.325410413$ |
$0.234996840$ |
7.047699573 |
\( \frac{8527173507}{200} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -4596\) , \( -117656\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-4596{x}-117656$ |
| 32400.3-b1 |
32400.3-b |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{18} \cdot 5^{4} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.436738273$ |
$0.917425003$ |
4.533115764 |
\( -\frac{20283392}{6075} a - \frac{5636096}{6075} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 36 a - 48\) , \( -166 a + 45\bigr] \) |
${y}^2={x}^{3}+\left(36a-48\right){x}-166a+45$ |
| 32400.3-b2 |
32400.3-b |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{24} \cdot 5^{2} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.873476546$ |
$0.917425003$ |
4.533115764 |
\( \frac{171491008}{295245} a - \frac{176375504}{295245} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 9 a + 45\) , \( 95 a - 146\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+\left(9a+45\right){x}+95a-146$ |
| 32400.3-c1 |
32400.3-c |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{44} \cdot 5^{2} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1.722328191$ |
$0.093154238$ |
7.260783784 |
\( -\frac{147281603041}{215233605} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -3960\) , \( 182120\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-3960{x}+182120$ |
| 32400.3-c2 |
32400.3-c |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{14} \cdot 5^{2} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.107645511$ |
$1.490467808$ |
7.260783784 |
\( -\frac{1}{15} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 0\) , \( -40\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-40$ |
| 32400.3-c3 |
32400.3-c |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{16} \cdot 5^{16} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$0.430582047$ |
$0.186308476$ |
7.260783784 |
\( \frac{4733169839}{3515625} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 1260\) , \( 8528\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+1260{x}+8528$ |
| 32400.3-c4 |
32400.3-c |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{20} \cdot 5^{8} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{8} \) |
$0.430582047$ |
$0.372616952$ |
7.260783784 |
\( \frac{111284641}{50625} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -360\) , \( 1400\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-360{x}+1400$ |
| 32400.3-c5 |
32400.3-c |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{16} \cdot 5^{4} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$0.430582047$ |
$0.745233904$ |
7.260783784 |
\( \frac{13997521}{225} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -180\) , \( -832\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-180{x}-832$ |
| 32400.3-c6 |
32400.3-c |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{28} \cdot 5^{4} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1.722328191$ |
$0.186308476$ |
7.260783784 |
\( \frac{272223782641}{164025} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -4860\) , \( 132800\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-4860{x}+132800$ |
| 32400.3-c7 |
32400.3-c |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{14} \cdot 5^{2} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.722328191$ |
$0.372616952$ |
7.260783784 |
\( \frac{56667352321}{15} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -2880\) , \( -58072\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-2880{x}-58072$ |
| 32400.3-c8 |
32400.3-c |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{20} \cdot 5^{2} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$6.889312767$ |
$0.093154238$ |
7.260783784 |
\( \frac{1114544804970241}{405} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -77760\) , \( 8385080\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-77760{x}+8385080$ |
| 32400.3-d1 |
32400.3-d |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{14} \cdot 5^{16} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$0.432355383$ |
$0.255262503$ |
4.994509813 |
\( -\frac{27995042}{1171875} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -180\) , \( 8100\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-180{x}+8100$ |
| 32400.3-d2 |
32400.3-d |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{28} \cdot 5^{2} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.864710766$ |
$0.510525006$ |
4.994509813 |
\( \frac{54607676}{32805} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 180\) , \( -270\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+180{x}-270$ |
| 32400.3-d3 |
32400.3-d |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{20} \cdot 5^{4} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1.729421532$ |
$1.021050013$ |
4.994509813 |
\( \frac{3631696}{2025} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -45\) , \( 0\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-45{x}$ |
| 32400.3-d4 |
32400.3-d |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{16} \cdot 5^{8} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$0.864710766$ |
$0.510525006$ |
4.994509813 |
\( \frac{868327204}{5625} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -450\) , \( 3888\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-450{x}+3888$ |
| 32400.3-d5 |
32400.3-d |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{16} \cdot 5^{2} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$3.458843064$ |
$1.021050013$ |
4.994509813 |
\( \frac{24918016}{45} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -138\) , \( 623\bigr] \) |
${y}^2={x}^{3}-138{x}+623$ |
| 32400.3-d6 |
32400.3-d |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{14} \cdot 5^{4} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$1.729421532$ |
$0.255262503$ |
4.994509813 |
\( \frac{1770025017602}{75} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -7200\) , \( 238788\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-7200{x}+238788$ |
| 32400.3-e1 |
32400.3-e |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{18} \cdot 5^{4} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.436738273$ |
$0.917425003$ |
4.533115764 |
\( \frac{20283392}{6075} a - \frac{5636096}{6075} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -36 a - 48\) , \( 166 a + 45\bigr] \) |
${y}^2={x}^{3}+\left(-36a-48\right){x}+166a+45$ |
| 32400.3-e2 |
32400.3-e |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{24} \cdot 5^{2} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.873476546$ |
$0.917425003$ |
4.533115764 |
\( -\frac{171491008}{295245} a - \frac{176375504}{295245} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -9 a + 45\) , \( -95 a - 146\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+\left(-9a+45\right){x}-95a-146$ |
| 32400.3-f1 |
32400.3-f |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{2} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.381839169$ |
$3.897418404$ |
4.209228492 |
\( -\frac{108}{5} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 0\) , \( -2\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-2$ |
| 32400.3-f2 |
32400.3-f |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{4} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.190919584$ |
$1.948709202$ |
4.209228492 |
\( \frac{3721734}{25} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -30\) , \( -50\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-30{x}-50$ |
| 32400.3-g1 |
32400.3-g |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{36} \cdot 3^{14} \cdot 5^{6} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.215715023$ |
1.830402670 |
\( -\frac{273359449}{1536000} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -486\) , \( 13770\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-486{x}+13770$ |
| 32400.3-g2 |
32400.3-g |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{20} \cdot 3^{18} \cdot 5^{2} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.647145070$ |
1.830402670 |
\( \frac{357911}{2160} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 54\) , \( -486\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+54{x}-486$ |
| 32400.3-g3 |
32400.3-g |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{14} \cdot 5^{24} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{8} \cdot 3 \) |
$1$ |
$0.053928755$ |
1.830402670 |
\( \frac{10316097499609}{5859375000} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -16326\) , \( 117450\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-16326{x}+117450$ |
| 32400.3-g4 |
32400.3-g |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{14} \cdot 3^{36} \cdot 5^{2} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.161786267$ |
1.830402670 |
\( \frac{35578826569}{5314410} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -2466\) , \( 41850\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-2466{x}+41850$ |
| 32400.3-g5 |
32400.3-g |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{24} \cdot 5^{4} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{7} \) |
$1$ |
$0.323572535$ |
1.830402670 |
\( \frac{702595369}{72900} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -666\) , \( -5670\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-666{x}-5670$ |
| 32400.3-g6 |
32400.3-g |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{24} \cdot 3^{16} \cdot 5^{12} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{7} \cdot 3 \) |
$1$ |
$0.107857511$ |
1.830402670 |
\( \frac{4102915888729}{9000000} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -12006\) , \( 511434\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-12006{x}+511434$ |
| 32400.3-g7 |
32400.3-g |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{14} \cdot 3^{18} \cdot 5^{8} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{8} \) |
$1$ |
$0.161786267$ |
1.830402670 |
\( \frac{2656166199049}{33750} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -10386\) , \( -402246\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-10386{x}-402246$ |
| 32400.3-g8 |
32400.3-g |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{20} \cdot 5^{6} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{6} \cdot 3 \) |
$1$ |
$0.053928755$ |
1.830402670 |
\( \frac{16778985534208729}{81000} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -192006\) , \( 32479434\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-192006{x}+32479434$ |
| 32400.3-h1 |
32400.3-h |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{14} \cdot 5^{2} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.497536285$ |
$2.321057923$ |
4.915620320 |
\( \frac{21296}{15} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 9\) , \( 0\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+9{x}$ |
| 32400.3-h2 |
32400.3-h |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{16} \cdot 5^{4} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.748768142$ |
$1.160528961$ |
4.915620320 |
\( \frac{470596}{225} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -36\) , \( 54\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-36{x}+54$ |
| 32400.3-h3 |
32400.3-h |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{14} \cdot 5^{8} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{8} \) |
$0.374384071$ |
$0.580264480$ |
4.915620320 |
\( \frac{136835858}{1875} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -306\) , \( -1890\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-306{x}-1890$ |
| 32400.3-h4 |
32400.3-h |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{20} \cdot 5^{2} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.374384071$ |
$0.580264480$ |
4.915620320 |
\( \frac{546718898}{405} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -486\) , \( 4374\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-486{x}+4374$ |
| 32400.3-i1 |
32400.3-i |
$4$ |
$6$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{12} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.713677295$ |
3.027876330 |
\( -\frac{20720464}{15625} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -80\) , \( 473\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}-80{x}+473$ |
| 32400.3-i2 |
32400.3-i |
$4$ |
$6$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{4} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1$ |
$2.141031885$ |
3.027876330 |
\( \frac{21296}{25} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( 10\) , \( -13\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+10{x}-13$ |
| 32400.3-i3 |
32400.3-i |
$4$ |
$6$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{2} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1$ |
$2.141031885$ |
3.027876330 |
\( \frac{16384}{5} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -12\) , \( 11\bigr] \) |
${y}^2={x}^{3}-12{x}+11$ |
| 32400.3-i4 |
32400.3-i |
$4$ |
$6$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{6} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.713677295$ |
3.027876330 |
\( \frac{488095744}{125} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -372\) , \( -2761\bigr] \) |
${y}^2={x}^{3}-372{x}-2761$ |
| 32400.3-j1 |
32400.3-j |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{18} \cdot 5^{2} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.495191517$ |
$1.299139468$ |
5.494113094 |
\( -\frac{108}{5} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -6\) , \( 64\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-6{x}+64$ |
| 32400.3-j2 |
32400.3-j |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{18} \cdot 5^{4} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.747595758$ |
$0.649569734$ |
5.494113094 |
\( \frac{3721734}{25} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -276\) , \( 1900\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-276{x}+1900$ |
| 32400.3-k1 |
32400.3-k |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{11} \cdot 3^{25} \cdot 5^{4} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1.089705706$ |
$0.437684029$ |
5.396036890 |
\( -\frac{72491141}{1476225} a + \frac{365344658}{1476225} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( 51 a + 115\) , \( -887 a - 820\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(51a+115\right){x}-887a-820$ |
| 32400.3-k2 |
32400.3-k |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{20} \cdot 5^{2} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.544852853$ |
$0.875368059$ |
5.396036890 |
\( \frac{1046948}{1215} a + \frac{9113614}{1215} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -39 a - 65\) , \( -149 a - 100\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-39a-65\right){x}-149a-100$ |
| 32400.3-l1 |
32400.3-l |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{11} \cdot 3^{25} \cdot 5^{4} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1.089705706$ |
$0.437684029$ |
5.396036890 |
\( \frac{72491141}{1476225} a + \frac{365344658}{1476225} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -51 a + 115\) , \( 887 a - 820\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-51a+115\right){x}+887a-820$ |
| 32400.3-l2 |
32400.3-l |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{20} \cdot 5^{2} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.544852853$ |
$0.875368059$ |
5.396036890 |
\( -\frac{1046948}{1215} a + \frac{9113614}{1215} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( 39 a - 65\) , \( 149 a - 100\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(39a-65\right){x}+149a-100$ |
| 32400.3-m1 |
32400.3-m |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{8} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.500528594$ |
$0.998962993$ |
5.656962216 |
\( \frac{237276}{625} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 30\) , \( 100\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+30{x}+100$ |
| 32400.3-m2 |
32400.3-m |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{4} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1.001057188$ |
$1.997925987$ |
5.656962216 |
\( \frac{148176}{25} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -15\) , \( 28\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-15{x}+28$ |
| 32400.3-m3 |
32400.3-m |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{2} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$2.002114376$ |
$1.997925987$ |
5.656962216 |
\( \frac{55296}{5} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -18\) , \( 27\bigr] \) |
${y}^2={x}^{3}-18{x}+27$ |
| 32400.3-m4 |
32400.3-m |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
32400.3 |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{2} \) |
$3.39094$ |
$(a), (-a-1), (a-1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$2.002114376$ |
$0.998962993$ |
5.656962216 |
\( \frac{132304644}{5} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -240\) , \( 1558\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-240{x}+1558$ |
*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.
