| 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 |
| 22500.8-a1 |
22500.8-a |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{13} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B.1.3 |
$1$ |
\( 2 \cdot 3 \) |
$0.423364984$ |
$0.921766326$ |
2.823908842 |
\( -\frac{692449}{864} a + \frac{17543}{144} \) |
\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 2 a - 51\) , \( 37 a - 195\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(2a-51\right){x}+37a-195$ |
| 22500.8-a2 |
22500.8-a |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{2} \cdot 3^{20} \cdot 5^{17} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B.1.4 |
$1$ |
\( 2 \cdot 3 \) |
$2.116824922$ |
$0.184353265$ |
2.823908842 |
\( \frac{2369589221}{28697814} a + \frac{82965846151}{9565938} \) |
\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( -898 a + 1799\) , \( 5987 a + 27505\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-898a+1799\right){x}+5987a+27505$ |
| 22500.8-b1 |
22500.8-b |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{13} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B.1.3 |
$1$ |
\( 2 \cdot 3 \) |
$0.423364984$ |
$0.921766326$ |
2.823908842 |
\( \frac{692449}{864} a - \frac{587191}{864} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( -a - 47\) , \( -36 a - 108\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-a-47\right){x}-36a-108$ |
| 22500.8-b2 |
22500.8-b |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{2} \cdot 3^{20} \cdot 5^{17} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B.1.4 |
$1$ |
\( 2 \cdot 3 \) |
$2.116824922$ |
$0.184353265$ |
2.823908842 |
\( -\frac{2369589221}{28697814} a + \frac{125633563837}{14348907} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 899 a + 903\) , \( -6886 a + 32592\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(899a+903\right){x}-6886a+32592$ |
| 22500.8-c1 |
22500.8-c |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{10} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 3^{2} \) |
$0.191822845$ |
$0.860446338$ |
3.583111087 |
\( -\frac{339783235}{15552} a + \frac{422345425}{15552} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( 70 a - 80\) , \( 340 a - 60\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(70a-80\right){x}+340a-60$ |
| 22500.8-d1 |
22500.8-d |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{10} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 3^{2} \) |
$0.191822845$ |
$0.860446338$ |
3.583111087 |
\( \frac{339783235}{15552} a + \frac{13760365}{2592} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -70 a - 10\) , \( -340 a + 280\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(-70a-10\right){x}-340a+280$ |
| 22500.8-e1 |
22500.8-e |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{24} \cdot 3^{2} \cdot 5^{18} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{6} \cdot 3 \) |
$1$ |
$0.258858028$ |
1.873167170 |
\( -\frac{273359449}{1536000} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -338\) , \( -7969\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-338{x}-7969$ |
| 22500.8-e2 |
22500.8-e |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{14} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.776574084$ |
1.873167170 |
\( \frac{357911}{2160} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 37\) , \( 281\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+37{x}+281$ |
| 22500.8-e3 |
22500.8-e |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{36} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.064714507$ |
1.873167170 |
\( \frac{10316097499609}{5859375000} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -11338\) , \( -67969\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-11338{x}-67969$ |
| 22500.8-e4 |
22500.8-e |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{2} \cdot 3^{24} \cdot 5^{14} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.194143521$ |
1.873167170 |
\( \frac{35578826569}{5314410} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -1713\) , \( -24219\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-1713{x}-24219$ |
| 22500.8-e5 |
22500.8-e |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{16} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{7} \) |
$1$ |
$0.388287042$ |
1.873167170 |
\( \frac{702595369}{72900} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -463\) , \( 3281\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-463{x}+3281$ |
| 22500.8-e6 |
22500.8-e |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{24} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{7} \cdot 3 \) |
$1$ |
$0.129429014$ |
1.873167170 |
\( \frac{4102915888729}{9000000} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -8338\) , \( -295969\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-8338{x}-295969$ |
| 22500.8-e7 |
22500.8-e |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{20} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{4} \) |
$1$ |
$0.194143521$ |
1.873167170 |
\( \frac{2656166199049}{33750} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -7213\) , \( 232781\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-7213{x}+232781$ |
| 22500.8-e8 |
22500.8-e |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{18} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{6} \cdot 3 \) |
$1$ |
$0.064714507$ |
1.873167170 |
\( \frac{16778985534208729}{81000} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -133338\) , \( -18795969\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-133338{x}-18795969$ |
| 22500.8-f1 |
22500.8-f |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{2} \cdot 3^{16} \cdot 5^{11} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$0.597748366$ |
2.162734964 |
\( -\frac{815094169}{354294} a + \frac{1420717709}{177147} \) |
\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -7 a + 190\) , \( -485 a + 173\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-7a+190\right){x}-485a+173$ |
| 22500.8-g1 |
22500.8-g |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{2} \cdot 3^{16} \cdot 5^{11} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$0.597748366$ |
2.162734964 |
\( \frac{815094169}{354294} a + \frac{675447083}{118098} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 7 a + 184\) , \( 478 a - 495\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(7a+184\right){x}+478a-495$ |
| 22500.8-h1 |
22500.8-h |
$4$ |
$10$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{18} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 5$ |
2B, 5B.1.3 |
$1$ |
\( 2^{3} \) |
$1$ |
$0.787497134$ |
0.949757279 |
\( -\frac{24389}{12} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -75\) , \( -375\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-75{x}-375$ |
| 22500.8-h2 |
22500.8-h |
$4$ |
$10$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{20} \cdot 3^{10} \cdot 5^{18} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 5$ |
2B, 5B.1.4 |
$1$ |
\( 2^{3} \cdot 5 \) |
$1$ |
$0.157499426$ |
0.949757279 |
\( -\frac{19465109}{248832} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -700\) , \( 34000\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-700{x}+34000$ |
| 22500.8-h3 |
22500.8-h |
$4$ |
$10$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{10} \cdot 3^{20} \cdot 5^{18} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 5$ |
2B, 5B.1.4 |
$1$ |
\( 2^{4} \cdot 5 \) |
$1$ |
$0.078749713$ |
0.949757279 |
\( \frac{502270291349}{1889568} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -20700\) , \( 1134000\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-20700{x}+1134000$ |
| 22500.8-h4 |
22500.8-h |
$4$ |
$10$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{18} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 5$ |
2B, 5B.1.3 |
$1$ |
\( 2^{4} \) |
$1$ |
$0.393748567$ |
0.949757279 |
\( \frac{131872229}{18} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -1325\) , \( -19125\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-1325{x}-19125$ |
| 22500.8-i1 |
22500.8-i |
$4$ |
$10$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{12} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B.4.2 |
$1$ |
\( 2^{3} \) |
$1$ |
$1.760897124$ |
2.123721838 |
\( -\frac{24389}{12} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 9 a - 3\) , \( 12 a + 21\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(9a-3\right){x}+12a+21$ |
| 22500.8-i2 |
22500.8-i |
$4$ |
$10$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{20} \cdot 3^{10} \cdot 5^{12} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B.4.1 |
$1$ |
\( 2^{3} \cdot 5 \) |
$1$ |
$0.352179424$ |
2.123721838 |
\( -\frac{19465109}{248832} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 84 a - 28\) , \( -1088 a - 1904\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(84a-28\right){x}-1088a-1904$ |
| 22500.8-i3 |
22500.8-i |
$4$ |
$10$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{10} \cdot 3^{20} \cdot 5^{12} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B.4.1 |
$1$ |
\( 2^{4} \cdot 5 \) |
$1$ |
$0.176089712$ |
2.123721838 |
\( \frac{502270291349}{1889568} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 2484 a - 828\) , \( -36288 a - 63504\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(2484a-828\right){x}-36288a-63504$ |
| 22500.8-i4 |
22500.8-i |
$4$ |
$10$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{12} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B.4.2 |
$1$ |
\( 2^{4} \) |
$1$ |
$0.880448562$ |
2.123721838 |
\( \frac{131872229}{18} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 159 a - 53\) , \( 612 a + 1071\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(159a-53\right){x}+612a+1071$ |
| 22500.8-j1 |
22500.8-j |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{2} \cdot 3^{16} \cdot 5^{5} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 11 \) |
$0.130050786$ |
$1.336605981$ |
4.612142444 |
\( \frac{815094169}{354294} a + \frac{675447083}{118098} \) |
\( \bigl[1\) , \( -a + 1\) , \( 0\) , \( -23 a + 9\) , \( -39 a + 54\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-23a+9\right){x}-39a+54$ |
| 22500.8-k1 |
22500.8-k |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{2} \cdot 3^{16} \cdot 5^{17} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$0.267321196$ |
1.612007466 |
\( -\frac{815094169}{354294} a + \frac{1420717709}{177147} \) |
\( \bigl[1\) , \( -a + 1\) , \( 0\) , \( 562 a - 326\) , \( 4406 a + 5274\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(562a-326\right){x}+4406a+5274$ |
| 22500.8-l1 |
22500.8-l |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{18} \cdot 3^{18} \cdot 5^{17} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 11 \) |
$1$ |
$0.096749774$ |
1.283530800 |
\( -\frac{15557612801}{453496320} a + \frac{32627654407}{75582720} \) |
\( \bigl[a\) , \( a - 1\) , \( a + 1\) , \( -1941 a + 1077\) , \( -59187 a - 43168\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-1941a+1077\right){x}-59187a-43168$ |
| 22500.8-m1 |
22500.8-m |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{16} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$0.384803300$ |
2.320451212 |
\( \frac{339783235}{15552} a + \frac{13760365}{2592} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( -103 a + 652\) , \( 3601 a + 351\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-103a+652\right){x}+3601a+351$ |
| 22500.8-n1 |
22500.8-n |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{4} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \) |
$1$ |
$1.924016504$ |
2.320451212 |
\( -\frac{339783235}{15552} a + \frac{422345425}{15552} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 4 a + 22\) , \( -28 a + 36\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(4a+22\right){x}-28a+36$ |
| 22500.8-o1 |
22500.8-o |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{19} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B.4.2 |
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$0.412226432$ |
2.485818921 |
\( \frac{692449}{864} a - \frac{587191}{864} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -150 a + 113\) , \( -225 a + 2069\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-150a+113\right){x}-225a+2069$ |
| 22500.8-o2 |
22500.8-o |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{2} \cdot 3^{20} \cdot 5^{11} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B.4.1 |
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$0.412226432$ |
2.485818921 |
\( -\frac{2369589221}{28697814} a + \frac{125633563837}{14348907} \) |
\( \bigl[1\) , \( -a + 1\) , \( a\) , \( -181 a + 359\) , \( -653 a - 2414\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-181a+359\right){x}-653a-2414$ |
| 22500.8-p1 |
22500.8-p |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{7} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B.4.2 |
$1$ |
\( 2 \cdot 3 \cdot 5 \) |
$0.088413501$ |
$2.061132164$ |
6.593398660 |
\( -\frac{692449}{864} a + \frac{17543}{144} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 5 a - 2\) , \( 9\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(5a-2\right){x}+9$ |
| 22500.8-p2 |
22500.8-p |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{2} \cdot 3^{20} \cdot 5^{11} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B.4.1 |
$1$ |
\( 2 \cdot 3 \cdot 5 \) |
$0.442067508$ |
$0.412226432$ |
6.593398660 |
\( \frac{2369589221}{28697814} a + \frac{82965846151}{9565938} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( -145 a - 252\) , \( -1450 a - 591\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-145a-252\right){x}-1450a-591$ |
| 22500.8-q1 |
22500.8-q |
$4$ |
$10$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{12} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B.4.2 |
$1$ |
\( 2^{3} \) |
$1$ |
$1.760897124$ |
2.123721838 |
\( -\frac{24389}{12} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -9 a + 6\) , \( -12 a + 33\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(-9a+6\right){x}-12a+33$ |
| 22500.8-q2 |
22500.8-q |
$4$ |
$10$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{20} \cdot 3^{10} \cdot 5^{12} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B.4.1 |
$1$ |
\( 2^{3} \cdot 5 \) |
$1$ |
$0.352179424$ |
2.123721838 |
\( -\frac{19465109}{248832} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -84 a + 56\) , \( 1088 a - 2992\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(-84a+56\right){x}+1088a-2992$ |
| 22500.8-q3 |
22500.8-q |
$4$ |
$10$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{10} \cdot 3^{20} \cdot 5^{12} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B.4.1 |
$1$ |
\( 2^{4} \cdot 5 \) |
$1$ |
$0.176089712$ |
2.123721838 |
\( \frac{502270291349}{1889568} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -2484 a + 1656\) , \( 36288 a - 99792\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(-2484a+1656\right){x}+36288a-99792$ |
| 22500.8-q4 |
22500.8-q |
$4$ |
$10$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{12} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B.4.2 |
$1$ |
\( 2^{4} \) |
$1$ |
$0.880448562$ |
2.123721838 |
\( \frac{131872229}{18} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -159 a + 106\) , \( -612 a + 1683\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(-159a+106\right){x}-612a+1683$ |
| 22500.8-r1 |
22500.8-r |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{2} \cdot 3^{16} \cdot 5^{5} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 11 \) |
$0.130050786$ |
$1.336605981$ |
4.612142444 |
\( -\frac{815094169}{354294} a + \frac{1420717709}{177147} \) |
\( \bigl[1\) , \( a\) , \( 0\) , \( 23 a - 14\) , \( 39 a + 15\bigr] \) |
${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(23a-14\right){x}+39a+15$ |
| 22500.8-s1 |
22500.8-s |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{2} \cdot 3^{16} \cdot 5^{17} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$0.267321196$ |
1.612007466 |
\( \frac{815094169}{354294} a + \frac{675447083}{118098} \) |
\( \bigl[1\) , \( a\) , \( 0\) , \( -562 a + 236\) , \( -4406 a + 9680\bigr] \) |
${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(-562a+236\right){x}-4406a+9680$ |
| 22500.8-t1 |
22500.8-t |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{18} \cdot 3^{18} \cdot 5^{17} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 11 \) |
$1$ |
$0.096749774$ |
1.283530800 |
\( \frac{15557612801}{453496320} a + \frac{180208313641}{453496320} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 1938 a - 865\) , \( 60261 a - 108172\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(1938a-865\right){x}+60261a-108172$ |
| 22500.8-u1 |
22500.8-u |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{16} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$0.384803300$ |
2.320451212 |
\( -\frac{339783235}{15552} a + \frac{422345425}{15552} \) |
\( \bigl[a + 1\) , \( a\) , \( a\) , \( 101 a + 548\) , \( -2951 a + 3647\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(101a+548\right){x}-2951a+3647$ |
| 22500.8-v1 |
22500.8-v |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{4} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \) |
$1$ |
$1.924016504$ |
2.320451212 |
\( \frac{339783235}{15552} a + \frac{13760365}{2592} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -4 a + 26\) , \( 28 a + 8\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(-4a+26\right){x}+28a+8$ |
| 22500.8-w1 |
22500.8-w |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{19} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B.4.2 |
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$0.412226432$ |
2.485818921 |
\( -\frac{692449}{864} a + \frac{17543}{144} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 148 a - 35\) , \( 224 a + 1845\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(148a-35\right){x}+224a+1845$ |
| 22500.8-w2 |
22500.8-w |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{2} \cdot 3^{20} \cdot 5^{11} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B.4.1 |
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$0.412226432$ |
2.485818921 |
\( \frac{2369589221}{28697814} a + \frac{82965846151}{9565938} \) |
\( \bigl[1\) , \( a\) , \( a + 1\) , \( 180 a + 178\) , \( 652 a - 3067\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(180a+178\right){x}+652a-3067$ |
| 22500.8-x1 |
22500.8-x |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{7} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B.4.2 |
$1$ |
\( 2 \cdot 3 \cdot 5 \) |
$0.088413501$ |
$2.061132164$ |
6.593398660 |
\( \frac{692449}{864} a - \frac{587191}{864} \) |
\( \bigl[a + 1\) , \( a\) , \( 1\) , \( -6 a + 1\) , \( -2 a + 26\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-6a+1\right){x}-2a+26$ |
| 22500.8-x2 |
22500.8-x |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{2} \cdot 3^{20} \cdot 5^{11} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B.4.1 |
$1$ |
\( 2 \cdot 3 \cdot 5 \) |
$0.442067508$ |
$0.412226432$ |
6.593398660 |
\( -\frac{2369589221}{28697814} a + \frac{125633563837}{14348907} \) |
\( \bigl[a + 1\) , \( a\) , \( 1\) , \( 144 a - 399\) , \( 1198 a - 2474\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(144a-399\right){x}+1198a-2474$ |
| 22500.8-y1 |
22500.8-y |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{13} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B.1.2 |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$0.921766326$ |
3.335076052 |
\( \frac{692449}{864} a - \frac{587191}{864} \) |
\( \bigl[1\) , \( 0\) , \( a + 1\) , \( 7 a + 44\) , \( 78 a - 160\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(7a+44\right){x}+78a-160$ |
| 22500.8-y2 |
22500.8-y |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{2} \cdot 3^{20} \cdot 5^{5} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B.1.1 |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \) |
$1$ |
$0.921766326$ |
3.335076052 |
\( -\frac{2369589221}{28697814} a + \frac{125633563837}{14348907} \) |
\( \bigl[a\) , \( -a + 1\) , \( a + 1\) , \( 35 a + 37\) , \( -63 a + 290\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(35a+37\right){x}-63a+290$ |
| 22500.8-z1 |
22500.8-z |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{13} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B.1.2 |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$0.921766326$ |
3.335076052 |
\( -\frac{692449}{864} a + \frac{17543}{144} \) |
\( \bigl[1\) , \( 0\) , \( a\) , \( -8 a + 52\) , \( -79 a - 81\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-8a+52\right){x}-79a-81$ |
| 22500.8-z2 |
22500.8-z |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
22500.8 |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{2} \cdot 3^{20} \cdot 5^{5} \) |
$3.62978$ |
$(-a), (a-1), (-a-1), (a-2), (2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B.1.1 |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \) |
$1$ |
$0.921766326$ |
3.335076052 |
\( \frac{2369589221}{28697814} a + \frac{82965846151}{9565938} \) |
\( \bigl[a + 1\) , \( 0\) , \( a\) , \( -37 a + 73\) , \( 62 a + 228\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-37a+73\right){x}+62a+228$ |
*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.
