| 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 |
| 54450.2-a1 |
54450.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{10} \cdot 5^{16} \cdot 11^{8} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \cdot 5 \) |
$0.298461370$ |
$0.118130243$ |
2.820585157 |
\( \frac{116149984977671}{2779502343750} \) |
\( \bigl[i\) , \( -1\) , \( 0\) , \( 1017\) , \( 78813\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-{x}^{2}+1017{x}+78813$ |
| 54450.2-a2 |
54450.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{40} \cdot 5^{4} \cdot 11^{2} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \cdot 5 \) |
$0.298461370$ |
$0.118130243$ |
2.820585157 |
\( \frac{7981893677157049}{1917731420550} \) |
\( \bigl[i\) , \( -1\) , \( 0\) , \( -4163\) , \( -77343\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-{x}^{2}-4163{x}-77343$ |
| 54450.2-a3 |
54450.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{20} \cdot 5^{8} \cdot 11^{4} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \cdot 5 \) |
$0.596922741$ |
$0.236260487$ |
2.820585157 |
\( \frac{312341975961049}{17862322500} \) |
\( \bigl[i\) , \( -1\) , \( 0\) , \( -1413\) , \( 20007\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-{x}^{2}-1413{x}+20007$ |
| 54450.2-a4 |
54450.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{4} \cdot 11^{2} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 5 \) |
$0.298461370$ |
$0.472520975$ |
2.820585157 |
\( \frac{299270638153369}{1069200} \) |
\( \bigl[i\) , \( -1\) , \( 0\) , \( -1393\) , \( 20603\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-{x}^{2}-1393{x}+20603$ |
| 54450.2-b1 |
54450.2-b |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{20} \cdot 11^{2} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 7 \) |
$0.126844654$ |
$0.396658149$ |
2.817582078 |
\( \frac{16033610695291}{402832031250} a - \frac{3689882574932}{604248046875} \) |
\( \bigl[1\) , \( i\) , \( 0\) , \( -70 i - 55\) , \( 1846 i - 979\bigr] \) |
${y}^2+{x}{y}={x}^{3}+i{x}^{2}+\left(-70i-55\right){x}+1846i-979$ |
| 54450.2-b2 |
54450.2-b |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{10} \cdot 11^{4} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 7 \) |
$0.253689308$ |
$0.793316298$ |
2.817582078 |
\( -\frac{2606209137364}{28359375} a + \frac{5075986008211}{37812500} \) |
\( \bigl[1\) , \( i\) , \( 0\) , \( -180 i - 55\) , \( 900 i - 275\bigr] \) |
${y}^2+{x}{y}={x}^{3}+i{x}^{2}+\left(-180i-55\right){x}+900i-275$ |
| 54450.2-c1 |
54450.2-c |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{12} \cdot 11^{4} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 5 \) |
$0.093584339$ |
$0.826669809$ |
3.094533909 |
\( \frac{3383450267953}{14179687500} a + \frac{104289699058}{1181640625} \) |
\( \bigl[1\) , \( 0\) , \( i\) , \( 36 i - 8\) , \( -201 i + 93\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(36i-8\right){x}-201i+93$ |
| 54450.2-c2 |
54450.2-c |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{6} \cdot 11^{2} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 5 \) |
$0.187168678$ |
$1.653339618$ |
3.094533909 |
\( -\frac{570110317}{103125} a + \frac{32295496313}{4950000} \) |
\( \bigl[1\) , \( 0\) , \( i\) , \( -24 i - 8\) , \( -45 i + 9\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(-24i-8\right){x}-45i+9$ |
| 54450.2-d1 |
54450.2-d |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{20} \cdot 11^{2} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 7 \) |
$0.126844654$ |
$0.396658149$ |
2.817582078 |
\( -\frac{16033610695291}{402832031250} a - \frac{3689882574932}{604248046875} \) |
\( \bigl[i\) , \( i\) , \( 0\) , \( 70 i - 55\) , \( 1846 i + 979\bigr] \) |
${y}^2+i{x}{y}={x}^{3}+i{x}^{2}+\left(70i-55\right){x}+1846i+979$ |
| 54450.2-d2 |
54450.2-d |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{10} \cdot 11^{4} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 7 \) |
$0.253689308$ |
$0.793316298$ |
2.817582078 |
\( \frac{2606209137364}{28359375} a + \frac{5075986008211}{37812500} \) |
\( \bigl[i\) , \( i\) , \( 0\) , \( 180 i - 55\) , \( 900 i + 275\bigr] \) |
${y}^2+i{x}{y}={x}^{3}+i{x}^{2}+\left(180i-55\right){x}+900i+275$ |
| 54450.2-e1 |
54450.2-e |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{12} \cdot 11^{4} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 5 \) |
$0.093584339$ |
$0.826669809$ |
3.094533909 |
\( -\frac{3383450267953}{14179687500} a + \frac{104289699058}{1181640625} \) |
\( \bigl[1\) , \( 0\) , \( i\) , \( -37 i - 8\) , \( 201 i + 93\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(-37i-8\right){x}+201i+93$ |
| 54450.2-e2 |
54450.2-e |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{6} \cdot 11^{2} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 5 \) |
$0.187168678$ |
$1.653339618$ |
3.094533909 |
\( \frac{570110317}{103125} a + \frac{32295496313}{4950000} \) |
\( \bigl[1\) , \( 0\) , \( i\) , \( 23 i - 8\) , \( 45 i + 9\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(23i-8\right){x}+45i+9$ |
| 54450.2-f1 |
54450.2-f |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{16} \cdot 11^{2} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{9} \) |
$0.130419034$ |
$0.418120005$ |
3.489971678 |
\( \frac{179310732119}{1392187500} \) |
\( \bigl[i\) , \( -1\) , \( 0\) , \( 118\) , \( -1776\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-{x}^{2}+118{x}-1776$ |
| 54450.2-f2 |
54450.2-f |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{4} \cdot 11^{2} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.521676137$ |
$1.672480023$ |
3.489971678 |
\( \frac{1263214441}{211200} \) |
\( \bigl[i\) , \( -1\) , \( 0\) , \( -22\) , \( 44\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-{x}^{2}-22{x}+44$ |
| 54450.2-f3 |
54450.2-f |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 11^{4} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$0.260838068$ |
$0.836240011$ |
3.489971678 |
\( \frac{119168121961}{10890000} \) |
\( \bigl[i\) , \( -1\) , \( 0\) , \( -102\) , \( -324\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-{x}^{2}-102{x}-324$ |
| 54450.2-f4 |
54450.2-f |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 11^{8} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{5} \) |
$0.521676137$ |
$0.418120005$ |
3.489971678 |
\( \frac{455129268177961}{4392300} \) |
\( \bigl[i\) , \( -1\) , \( 0\) , \( -1602\) , \( -24024\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-{x}^{2}-1602{x}-24024$ |
| 54450.2-g1 |
54450.2-g |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{14} \cdot 3^{40} \cdot 5^{8} \cdot 11^{8} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{7} \cdot 5 \cdot 7 \) |
$1$ |
$0.010975077$ |
3.073021566 |
\( \frac{2371297246710590562911}{4084000833203280000} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( 277815\) , \( 79112617\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}+277815{x}+79112617$ |
| 54450.2-g2 |
54450.2-g |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{28} \cdot 3^{20} \cdot 5^{16} \cdot 11^{4} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
$1$ |
$0.021950154$ |
3.073021566 |
\( \frac{201738262891771037089}{45727545600000000} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( -122185\) , \( 12872617\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-122185{x}+12872617$ |
| 54450.2-g3 |
54450.2-g |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{56} \cdot 3^{10} \cdot 5^{8} \cdot 11^{2} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \cdot 5 \cdot 7 \) |
$1$ |
$0.043900308$ |
3.073021566 |
\( \frac{7220044159551112609}{448454983680000} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( -40265\) , \( -2921559\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-40265{x}-2921559$ |
| 54450.2-g4 |
54450.2-g |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{32} \cdot 11^{2} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{3} \cdot 5 \cdot 7 \) |
$1$ |
$0.010975077$ |
3.073021566 |
\( \frac{680995599504466943307169}{52207031250000000} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( -1832905\) , \( 955821481\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-1832905{x}+955821481$ |
| 54450.2-h1 |
54450.2-h |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{2} \cdot 11^{2} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$1.972426006$ |
3.944852013 |
\( \frac{13651919}{126720} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( 5\) , \( -17\bigr] \) |
${y}^2+i{x}{y}={x}^{3}+5{x}-17$ |
| 54450.2-h2 |
54450.2-h |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 11^{16} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{6} \) |
$1$ |
$0.246553250$ |
3.944852013 |
\( \frac{13411719834479}{32153832150} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( 495\) , \( 7473\bigr] \) |
${y}^2+i{x}{y}={x}^{3}+495{x}+7473$ |
| 54450.2-h3 |
54450.2-h |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 11^{8} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{9} \) |
$1$ |
$0.493106501$ |
3.944852013 |
\( \frac{1834216913521}{329422500} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -255\) , \( 1323\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-255{x}+1323$ |
| 54450.2-h4 |
54450.2-h |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 11^{4} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{8} \) |
$1$ |
$0.986213003$ |
3.944852013 |
\( \frac{46694890801}{3920400} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -75\) , \( -225\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-75{x}-225$ |
| 54450.2-h5 |
54450.2-h |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{16} \cdot 11^{4} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{8} \) |
$1$ |
$0.246553250$ |
3.944852013 |
\( \frac{6484907238722641}{283593750} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -3885\) , \( 93525\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-3885{x}+93525$ |
| 54450.2-h6 |
54450.2-h |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{16} \cdot 5^{2} \cdot 11^{2} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{5} \) |
$1$ |
$0.493106501$ |
3.944852013 |
\( \frac{179415687049201}{1443420} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -1175\) , \( -15405\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-1175{x}-15405$ |
| 54450.2-i1 |
54450.2-i |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{48} \cdot 5^{4} \cdot 11^{2} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{7} \cdot 3 \) |
$1$ |
$0.053744214$ |
5.159444632 |
\( -\frac{15595206456730321}{310672490129100} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( -5204\) , \( 862425\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-5204{x}+862425$ |
| 54450.2-i2 |
54450.2-i |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{32} \cdot 3^{6} \cdot 5^{2} \cdot 11^{4} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \cdot 3 \) |
$1$ |
$0.429953719$ |
5.159444632 |
\( \frac{1833318007919}{1070530560} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( 256\) , \( -255\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}+256{x}-255$ |
| 54450.2-i3 |
54450.2-i |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{12} \cdot 5^{4} \cdot 11^{8} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{9} \cdot 3 \) |
$1$ |
$0.214976859$ |
5.159444632 |
\( \frac{119102750067601}{68309049600} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( -1024\) , \( -767\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-1024{x}-767$ |
| 54450.2-i4 |
54450.2-i |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{24} \cdot 5^{8} \cdot 11^{4} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{10} \cdot 3 \) |
$1$ |
$0.107488429$ |
5.159444632 |
\( \frac{135670761487282321}{643043610000} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( -10704\) , \( 429025\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-10704{x}+429025$ |
| 54450.2-i5 |
54450.2-i |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 11^{16} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{6} \cdot 3 \) |
$1$ |
$0.107488429$ |
5.159444632 |
\( \frac{182864522286982801}{463015182960} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( -11824\) , \( -488927\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-11824{x}-488927$ |
| 54450.2-i6 |
54450.2-i |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
54450.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{16} \cdot 11^{2} \) |
$2.73003$ |
$(a+1), (-a-2), (2a+1), (3), (11)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{9} \cdot 3 \) |
$1$ |
$0.053744214$ |
5.159444632 |
\( \frac{553808571467029327441}{12529687500} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( -171084\) , \( 27308713\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-171084{x}+27308713$ |
*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.
