| 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 |
| 27500.3-a1 |
27500.3-a |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{22} \cdot 5^{6} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
|
|
$1$ |
\( 2^{3} \cdot 11 \) |
$0.014356696$ |
$1.172601936$ |
3.573398531 |
\( -\frac{2803221}{22528} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -15\) , \( 87\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-15{x}+87$ |
| 27500.3-b1 |
27500.3-b |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{22} \cdot 5^{12} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
|
$1$ |
\( 2^{3} \) |
$1$ |
$0.524403527$ |
2.529817804 |
\( -\frac{2803221}{22528} \) |
\( \bigl[a\) , \( -a\) , \( 1\) , \( -44 a + 29\) , \( 349 a - 960\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-44a+29\right){x}+349a-960$ |
| 27500.3-c1 |
27500.3-c |
$2$ |
$3$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{6} \cdot 5^{16} \cdot 11^{6} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.2 |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$0.320590630$ |
1.159940546 |
\( -\frac{53969305}{10648} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -576\) , \( -6202\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-576{x}-6202$ |
| 27500.3-c2 |
27500.3-c |
$2$ |
$3$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{2} \cdot 5^{16} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$0.961771892$ |
1.159940546 |
\( \frac{34295}{22} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( 49\) , \( 48\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+49{x}+48$ |
| 27500.3-d1 |
27500.3-d |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{22} \cdot 5^{4} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
|
|
$1$ |
\( 2 \cdot 11 \) |
$0.110313389$ |
$0.907676766$ |
2.656719944 |
\( -\frac{38401771585}{22528} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -206\) , \( -1152\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-206{x}-1152$ |
| 27500.3-e1 |
27500.3-e |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{8} \cdot 5^{6} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.087009451$ |
$2.574479967$ |
2.161272782 |
\( -\frac{148877}{176} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -6\) , \( 8\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-6{x}+8$ |
| 27500.3-e2 |
27500.3-e |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{4} \cdot 5^{6} \cdot 11^{4} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.174018903$ |
$1.287239983$ |
2.161272782 |
\( \frac{1039509197}{484} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -106\) , \( 408\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-106{x}+408$ |
| 27500.3-f1 |
27500.3-f |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{8} \cdot 5^{12} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.818899608$ |
$1.151342442$ |
4.548401751 |
\( -\frac{148877}{176} \) |
\( \bigl[a\) , \( 1\) , \( 1\) , \( -17 a + 11\) , \( 33 a - 91\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+{x}^{2}+\left(-17a+11\right){x}+33a-91$ |
| 27500.3-f2 |
27500.3-f |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{4} \cdot 5^{12} \cdot 11^{4} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.637799216$ |
$0.575671221$ |
4.548401751 |
\( \frac{1039509197}{484} \) |
\( \bigl[a\) , \( 1\) , \( 1\) , \( -317 a + 211\) , \( 1633 a - 4491\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+{x}^{2}+\left(-317a+211\right){x}+1633a-4491$ |
| 27500.3-g1 |
27500.3-g |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{22} \cdot 5^{10} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
|
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$0.405925390$ |
1.468693323 |
\( -\frac{38401771585}{22528} \) |
\( \bigl[a\) , \( 1\) , \( 1\) , \( -617 a + 411\) , \( -4607 a + 12669\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+{x}^{2}+\left(-617a+411\right){x}-4607a+12669$ |
| 27500.3-h1 |
27500.3-h |
$2$ |
$3$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{6} \cdot 5^{10} \cdot 11^{6} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3B |
$1$ |
\( 2 \cdot 3^{2} \) |
$0.286565071$ |
$0.716862443$ |
4.459593126 |
\( -\frac{53969305}{10648} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 68 a - 25\) , \( 211 a + 228\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(68a-25\right){x}+211a+228$ |
| 27500.3-h2 |
27500.3-h |
$2$ |
$3$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{2} \cdot 5^{10} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3B |
$1$ |
\( 2 \) |
$0.859695215$ |
$2.150587330$ |
4.459593126 |
\( \frac{34295}{22} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -7 a\) , \( -4 a + 8\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}-7a{x}-4a+8$ |
| 27500.3-i1 |
27500.3-i |
$2$ |
$3$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{6} \cdot 5^{14} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B |
$1$ |
\( 2^{5} \cdot 3 \) |
$0.027906372$ |
$1.004784437$ |
6.492936624 |
\( -\frac{117649}{440} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -25\) , \( 125\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-25{x}+125$ |
| 27500.3-i2 |
27500.3-i |
$2$ |
$3$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{2} \cdot 5^{18} \cdot 11^{6} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B |
$1$ |
\( 2^{5} \) |
$0.251157352$ |
$0.334928145$ |
6.492936624 |
\( \frac{80062991}{332750} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( 225\) , \( -3125\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}+225{x}-3125$ |
| 27500.3-j1 |
27500.3-j |
$3$ |
$25$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{50} \cdot 5^{6} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$5$ |
5B.1.1 |
$1$ |
\( 2^{3} \cdot 5^{2} \) |
$4.332795033$ |
$0.093831362$ |
3.922561885 |
\( -\frac{24680042791780949}{369098752} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -30328\) , \( 2020281\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-30328{x}+2020281$ |
| 27500.3-j2 |
27500.3-j |
$3$ |
$25$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{2} \cdot 5^{6} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$5$ |
5B.1.2 |
$1$ |
\( 2^{3} \) |
$0.173311801$ |
$2.345784066$ |
3.922561885 |
\( -\frac{19465109}{22} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -28\) , \( -69\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-28{x}-69$ |
| 27500.3-j3 |
27500.3-j |
$3$ |
$25$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{10} \cdot 5^{6} \cdot 11^{10} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$5$ |
5Cs.1.1 |
$1$ |
\( 2^{3} \cdot 5^{2} \) |
$0.866559006$ |
$0.469156813$ |
3.922561885 |
\( \frac{6761990971}{5153632} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 197\) , \( 681\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+197{x}+681$ |
| 27500.3-k1 |
27500.3-k |
$2$ |
$3$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{14} \cdot 5^{14} \cdot 11^{6} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \) |
$0.021400148$ |
$0.219795968$ |
3.812145092 |
\( -\frac{76711450249}{851840} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -2213\) , \( 39531\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-2213{x}+39531$ |
| 27500.3-k2 |
27500.3-k |
$2$ |
$3$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{42} \cdot 5^{18} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \) |
$0.064200444$ |
$0.073265322$ |
3.812145092 |
\( \frac{2882081488391}{2883584000} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 7412\) , \( 212781\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+7412{x}+212781$ |
| 27500.3-l1 |
27500.3-l |
$3$ |
$25$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{50} \cdot 5^{12} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$5$ |
5B.4.1 |
$1$ |
\( 2^{3} \) |
$8.674601382$ |
$0.041962661$ |
3.512094428 |
\( -\frac{24680042791780949}{369098752} \) |
\( \bigl[a\) , \( a - 1\) , \( a + 1\) , \( -90986 a + 60657\) , \( 8172108 a - 22283748\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-90986a+60657\right){x}+8172108a-22283748$ |
| 27500.3-l2 |
27500.3-l |
$3$ |
$25$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{2} \cdot 5^{12} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$5$ |
5B.4.2 |
$1$ |
\( 2^{3} \) |
$0.346984055$ |
$1.049066526$ |
3.512094428 |
\( -\frac{19465109}{22} \) |
\( \bigl[a\) , \( a - 1\) , \( a + 1\) , \( -86 a + 57\) , \( -192 a + 702\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-86a+57\right){x}-192a+702$ |
| 27500.3-l3 |
27500.3-l |
$3$ |
$25$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{10} \cdot 5^{12} \cdot 11^{10} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$5$ |
5Cs.4.1 |
$1$ |
\( 2^{3} \) |
$1.734920276$ |
$0.209813305$ |
3.512094428 |
\( \frac{6761990971}{5153632} \) |
\( \bigl[a\) , \( a - 1\) , \( a + 1\) , \( 589 a - 393\) , \( 2133 a - 7098\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(589a-393\right){x}+2133a-7098$ |
| 27500.3-m1 |
27500.3-m |
$3$ |
$25$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{50} \cdot 5^{12} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$5$ |
5B.4.1 |
$1$ |
\( 2^{3} \) |
$8.674601382$ |
$0.041962661$ |
3.512094428 |
\( -\frac{24680042791780949}{369098752} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 90983 a - 30330\) , \( -8111454 a - 14384592\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(90983a-30330\right){x}-8111454a-14384592$ |
| 27500.3-m2 |
27500.3-m |
$3$ |
$25$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{2} \cdot 5^{12} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$5$ |
5B.4.2 |
$1$ |
\( 2^{3} \) |
$0.346984055$ |
$1.049066526$ |
3.512094428 |
\( -\frac{19465109}{22} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 83 a - 30\) , \( 246 a + 258\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(83a-30\right){x}+246a+258$ |
| 27500.3-m3 |
27500.3-m |
$3$ |
$25$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{10} \cdot 5^{12} \cdot 11^{10} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$5$ |
5Cs.4.1 |
$1$ |
\( 2^{3} \) |
$1.734920276$ |
$0.209813305$ |
3.512094428 |
\( \frac{6761990971}{5153632} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -592 a + 195\) , \( -2529 a - 3192\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-592a+195\right){x}-2529a-3192$ |
| 27500.3-n1 |
27500.3-n |
$3$ |
$25$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{50} \cdot 5^{18} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$5$ |
5B.1.4 |
$1$ |
\( 2^{3} \cdot 5^{2} \) |
$1.796003113$ |
$0.018766272$ |
8.129779167 |
\( -\frac{24680042791780949}{369098752} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -758201\) , \( 254051548\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-758201{x}+254051548$ |
| 27500.3-n2 |
27500.3-n |
$3$ |
$25$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{2} \cdot 5^{18} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$5$ |
5B.1.3 |
$1$ |
\( 2^{3} \) |
$1.796003113$ |
$0.469156813$ |
8.129779167 |
\( -\frac{19465109}{22} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -701\) , \( -7202\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-701{x}-7202$ |
| 27500.3-n3 |
27500.3-n |
$3$ |
$25$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{10} \cdot 5^{18} \cdot 11^{10} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$5$ |
5Cs.1.3 |
$1$ |
\( 2^{3} \cdot 5^{2} \) |
$0.359200622$ |
$0.093831362$ |
8.129779167 |
\( \frac{6761990971}{5153632} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( 4924\) , \( 75298\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+4924{x}+75298$ |
| 27500.3-o1 |
27500.3-o |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{2} \cdot 5^{14} \cdot 11^{10} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$5$ |
5B.1.3 |
$1$ |
\( 2^{3} \cdot 5 \) |
$3.160732306$ |
$0.055045835$ |
8.393359421 |
\( -\frac{23178622194826561}{1610510} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -148501\) , \( -22038602\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-148501{x}-22038602$ |
| 27500.3-o2 |
27500.3-o |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{10} \cdot 5^{22} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$5$ |
5B.1.4 |
$1$ |
\( 2^{3} \cdot 5 \) |
$0.632146461$ |
$0.275229175$ |
8.393359421 |
\( \frac{109902239}{1100000} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( 249\) , \( -6102\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+249{x}-6102$ |
| 27500.3-p1 |
27500.3-p |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{22} \cdot 5^{10} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
|
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$0.405925390$ |
1.468693323 |
\( -\frac{38401771585}{22528} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( 1\) , \( 616 a - 206\) , \( 4607 a + 8062\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(616a-206\right){x}+4607a+8062$ |
| 27500.3-q1 |
27500.3-q |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{8} \cdot 5^{12} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.818899608$ |
$1.151342442$ |
4.548401751 |
\( -\frac{148877}{176} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( 1\) , \( 16 a - 6\) , \( -33 a - 58\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(16a-6\right){x}-33a-58$ |
| 27500.3-q2 |
27500.3-q |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{4} \cdot 5^{12} \cdot 11^{4} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.637799216$ |
$0.575671221$ |
4.548401751 |
\( \frac{1039509197}{484} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( 1\) , \( 316 a - 106\) , \( -1633 a - 2858\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(316a-106\right){x}-1633a-2858$ |
| 27500.3-r1 |
27500.3-r |
$2$ |
$3$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{6} \cdot 5^{10} \cdot 11^{6} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3B |
$1$ |
\( 2 \cdot 3^{2} \) |
$0.286565071$ |
$0.716862443$ |
4.459593126 |
\( -\frac{53969305}{10648} \) |
\( \bigl[a\) , \( a - 1\) , \( a + 1\) , \( -71 a + 47\) , \( -167 a + 602\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-71a+47\right){x}-167a+602$ |
| 27500.3-r2 |
27500.3-r |
$2$ |
$3$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{2} \cdot 5^{10} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3B |
$1$ |
\( 2 \) |
$0.859695215$ |
$2.150587330$ |
4.459593126 |
\( \frac{34295}{22} \) |
\( \bigl[a\) , \( a - 1\) , \( a + 1\) , \( 4 a - 3\) , \( -2 a - 8\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(4a-3\right){x}-2a-8$ |
| 27500.3-s1 |
27500.3-s |
$2$ |
$3$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{6} \cdot 5^{4} \cdot 11^{6} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$1.602953154$ |
5.799702730 |
\( -\frac{53969305}{10648} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -23\) , \( -59\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-23{x}-59$ |
| 27500.3-s2 |
27500.3-s |
$2$ |
$3$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{2} \cdot 5^{4} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B |
$1$ |
\( 2 \) |
$1$ |
$4.808859462$ |
5.799702730 |
\( \frac{34295}{22} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 2\) , \( 1\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+2{x}+1$ |
| 27500.3-t1 |
27500.3-t |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{8} \cdot 5^{18} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$2.538921236$ |
$0.514895993$ |
12.61311561 |
\( -\frac{148877}{176} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -138\) , \( 1031\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-138{x}+1031$ |
| 27500.3-t2 |
27500.3-t |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{4} \cdot 5^{18} \cdot 11^{4} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$5.077842472$ |
$0.257447996$ |
12.61311561 |
\( \frac{1039509197}{484} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -2638\) , \( 51031\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-2638{x}+51031$ |
| 27500.3-u1 |
27500.3-u |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{22} \cdot 5^{16} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
|
|
$1$ |
\( 2 \cdot 11 \) |
$2.639749361$ |
$0.181535353$ |
12.71482063 |
\( -\frac{38401771585}{22528} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -5138\) , \( -143969\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-5138{x}-143969$ |
| 27500.3-v1 |
27500.3-v |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{22} \cdot 5^{12} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
|
$1$ |
\( 2^{3} \) |
$1$ |
$0.524403527$ |
2.529817804 |
\( -\frac{2803221}{22528} \) |
\( \bigl[a + 1\) , \( -1\) , \( 1\) , \( 43 a - 15\) , \( -349 a - 611\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(43a-15\right){x}-349a-611$ |
| 27500.3-w1 |
27500.3-w |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27500.3 |
\( 2^{2} \cdot 5^{4} \cdot 11 \) |
\( 2^{22} \cdot 5^{18} \cdot 11^{2} \) |
$3.81652$ |
$(-a-1), (a-2), (-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
|
|
$1$ |
\( 2^{3} \cdot 11 \) |
$1$ |
$0.234520387$ |
12.44505808 |
\( -\frac{2803221}{22528} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -367\) , \( 10541\bigr] \) |
${y}^2+{x}{y}={x}^{3}-{x}^{2}-367{x}+10541$ |
*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.
