| 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 |
| 27225.5-a1 |
27225.5-a |
$2$ |
$3$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{4} \cdot 5^{8} \cdot 11^{2} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3B |
$1$ |
\( 2^{2} \) |
$0.208105244$ |
$2.006795043$ |
4.029393494 |
\( \frac{293076992}{421875} a + \frac{1171750912}{140625} \) |
\( \bigl[0\) , \( -1\) , \( 1\) , \( 10 a - 1\) , \( -10 a - 18\bigr] \) |
${y}^2+{y}={x}^{3}-{x}^{2}+\left(10a-1\right){x}-10a-18$ |
| 27225.5-a2 |
27225.5-a |
$2$ |
$3$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{4} \cdot 5^{8} \cdot 11^{2} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3B |
$1$ |
\( 2^{2} \) |
$0.208105244$ |
$2.006795043$ |
4.029393494 |
\( -\frac{293076992}{421875} a + \frac{3808329728}{421875} \) |
\( \bigl[0\) , \( -1\) , \( 1\) , \( -10 a + 9\) , \( 10 a - 28\bigr] \) |
${y}^2+{y}={x}^{3}-{x}^{2}+\left(-10a+9\right){x}+10a-28$ |
| 27225.5-b1 |
27225.5-b |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 11^{6} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2 \) |
$3.048265448$ |
$1.381002422$ |
5.077043362 |
\( \frac{84015547}{3375} a - \frac{96331873}{3375} \) |
\( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( -24 a - 15\) , \( -57 a + 14\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-24a-15\right){x}-57a+14$ |
| 27225.5-b2 |
27225.5-b |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 11^{6} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2 \) |
$3.048265448$ |
$1.381002422$ |
5.077043362 |
\( -\frac{84015547}{3375} a - \frac{4105442}{1125} \) |
\( \bigl[a + 1\) , \( 1\) , \( 1\) , \( 24 a - 42\) , \( 80 a - 84\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(24a-42\right){x}+80a-84$ |
| 27225.5-b3 |
27225.5-b |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{8} \cdot 5^{8} \cdot 11^{6} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{6} \) |
$0.762066362$ |
$0.690501211$ |
5.077043362 |
\( \frac{1217478647}{11390625} a - \frac{534233498}{11390625} \) |
\( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( -24 a + 40\) , \( -167 a - 217\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-24a+40\right){x}-167a-217$ |
| 27225.5-b4 |
27225.5-b |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{8} \cdot 5^{8} \cdot 11^{6} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{6} \) |
$0.762066362$ |
$0.690501211$ |
5.077043362 |
\( -\frac{1217478647}{11390625} a + \frac{227748383}{3796875} \) |
\( \bigl[a + 1\) , \( 1\) , \( 1\) , \( 24 a + 13\) , \( 190 a - 370\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(24a+13\right){x}+190a-370$ |
| 27225.5-b5 |
27225.5-b |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{7} \cdot 5^{13} \cdot 11^{6} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$3.048265448$ |
$0.345250605$ |
5.077043362 |
\( \frac{93926997067673}{19775390625} a + \frac{105891919018084}{19775390625} \) |
\( \bigl[a + 1\) , \( 1\) , \( 1\) , \( -361 a + 233\) , \( 1708 a - 5056\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(-361a+233\right){x}+1708a-5056$ |
| 27225.5-b6 |
27225.5-b |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{7} \cdot 5^{13} \cdot 11^{6} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$3.048265448$ |
$0.345250605$ |
5.077043362 |
\( -\frac{93926997067673}{19775390625} a + \frac{66606305361919}{6591796875} \) |
\( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( 361 a - 125\) , \( -2070 a - 3220\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(361a-125\right){x}-2070a-3220$ |
| 27225.5-b7 |
27225.5-b |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{13} \cdot 5^{7} \cdot 11^{6} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$3.048265448$ |
$0.345250605$ |
5.077043362 |
\( \frac{59052841710247}{332150625} a + \frac{4469076589604}{110716875} \) |
\( \bigl[a + 1\) , \( 1\) , \( 1\) , \( 409 a + 673\) , \( 5052 a - 14428\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(409a+673\right){x}+5052a-14428$ |
| 27225.5-b8 |
27225.5-b |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{13} \cdot 5^{7} \cdot 11^{6} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$3.048265448$ |
$0.345250605$ |
5.077043362 |
\( -\frac{59052841710247}{332150625} a + \frac{72460071479059}{332150625} \) |
\( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( -409 a + 1085\) , \( -4644 a - 10458\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-409a+1085\right){x}-4644a-10458$ |
| 27225.5-c1 |
27225.5-c |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{7} \cdot 5^{6} \cdot 11^{7} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1.661233752$ |
$0.536425292$ |
3.224221700 |
\( \frac{9627540947}{111375} a - \frac{60447721577}{111375} \) |
\( \bigl[1\) , \( 1\) , \( a\) , \( -226 a - 211\) , \( 2362 a - 119\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-226a-211\right){x}+2362a-119$ |
| 27225.5-c2 |
27225.5-c |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{8} \cdot 5^{4} \cdot 11^{12} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{6} \) |
$2.491850628$ |
$0.268212646$ |
3.224221700 |
\( \frac{1248367530199}{24257475} a - \frac{2502448270237}{24257475} \) |
\( \bigl[a + 1\) , \( 1\) , \( 1\) , \( 926 a - 240\) , \( 8066 a + 15261\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(926a-240\right){x}+8066a+15261$ |
| 27225.5-c3 |
27225.5-c |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{4} \cdot 5^{15} \cdot 11^{10} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1.661233752$ |
$0.134106323$ |
3.224221700 |
\( -\frac{27494087979479921}{797607421875} a - \frac{15202009712601187}{265869140625} \) |
\( \bigl[1\) , \( 1\) , \( a\) , \( -6 a - 5986\) , \( 349 a - 182378\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-6a-5986\right){x}+349a-182378$ |
| 27225.5-c4 |
27225.5-c |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{13} \cdot 5^{2} \cdot 11^{9} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$4.983701257$ |
$0.536425292$ |
3.224221700 |
\( \frac{14695715479}{321521805} a + \frac{15826810246}{64304361} \) |
\( \bigl[a + 1\) , \( 1\) , \( 1\) , \( 46 a - 75\) , \( -30 a + 741\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(46a-75\right){x}-30a+741$ |
| 27225.5-c5 |
27225.5-c |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{8} \cdot 5^{12} \cdot 11^{8} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{6} \cdot 3 \) |
$0.830616876$ |
$0.268212646$ |
3.224221700 |
\( \frac{32857059929}{125296875} a + \frac{2698051706}{3796875} \) |
\( \bigl[1\) , \( 1\) , \( a\) , \( -171 a - 376\) , \( 2725 a - 3287\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-171a-376\right){x}+2725a-3287$ |
| 27225.5-c6 |
27225.5-c |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{4} \cdot 5^{5} \cdot 11^{18} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$4.983701257$ |
$0.134106323$ |
3.224221700 |
\( -\frac{6249803494931}{29895091875} a + \frac{32059736294654}{29895091875} \) |
\( \bigl[a + 1\) , \( 1\) , \( 1\) , \( 1091 a + 750\) , \( 21992 a - 19983\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(1091a+750\right){x}+21992a-19983$ |
| 27225.5-c7 |
27225.5-c |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{13} \cdot 5^{15} \cdot 11^{7} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1.661233752$ |
$0.134106323$ |
3.224221700 |
\( -\frac{1032777340820292487}{1427209716796875} a + \frac{1521986905848333643}{475736572265625} \) |
\( \bigl[1\) , \( 1\) , \( a\) , \( 544 a + 2594\) , \( 27233 a - 23648\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(544a+2594\right){x}+27233a-23648$ |
| 27225.5-c8 |
27225.5-c |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{7} \cdot 5^{5} \cdot 11^{9} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$4.983701257$ |
$0.134106323$ |
3.224221700 |
\( -\frac{49288032394180727}{6125625} a + \frac{215581641085014}{75625} \) |
\( \bigl[a + 1\) , \( 1\) , \( 1\) , \( 14841 a - 3870\) , \( 496664 a + 1012785\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(14841a-3870\right){x}+496664a+1012785$ |
| 27225.5-d1 |
27225.5-d |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{7} \cdot 5^{5} \cdot 11^{9} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$4.983701257$ |
$0.134106323$ |
3.224221700 |
\( \frac{49288032394180727}{6125625} a - \frac{31825919466294593}{6125625} \) |
\( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( -14841 a + 10974\) , \( -481824 a + 1498478\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-14841a+10974\right){x}-481824a+1498478$ |
| 27225.5-d2 |
27225.5-d |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{7} \cdot 5^{6} \cdot 11^{7} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1.661233752$ |
$0.536425292$ |
3.224221700 |
\( -\frac{9627540947}{111375} a - \frac{3388012042}{7425} \) |
\( \bigl[1\) , \( 1\) , \( a + 1\) , \( 225 a - 437\) , \( -2363 a + 2243\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(225a-437\right){x}-2363a+2243$ |
| 27225.5-d3 |
27225.5-d |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{4} \cdot 5^{15} \cdot 11^{10} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1.661233752$ |
$0.134106323$ |
3.224221700 |
\( \frac{27494087979479921}{797607421875} a - \frac{73100117117283482}{797607421875} \) |
\( \bigl[1\) , \( 1\) , \( a + 1\) , \( 5 a - 5992\) , \( -350 a - 182029\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(5a-5992\right){x}-350a-182029$ |
| 27225.5-d4 |
27225.5-d |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{8} \cdot 5^{4} \cdot 11^{12} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{6} \) |
$2.491850628$ |
$0.268212646$ |
3.224221700 |
\( -\frac{1248367530199}{24257475} a - \frac{418026913346}{8085825} \) |
\( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( -926 a + 689\) , \( -7141 a + 22641\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-926a+689\right){x}-7141a+22641$ |
| 27225.5-d5 |
27225.5-d |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{13} \cdot 5^{2} \cdot 11^{9} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$4.983701257$ |
$0.536425292$ |
3.224221700 |
\( -\frac{14695715479}{321521805} a + \frac{31276588903}{107173935} \) |
\( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( -46 a - 26\) , \( 75 a + 740\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-46a-26\right){x}+75a+740$ |
| 27225.5-d6 |
27225.5-d |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{4} \cdot 5^{5} \cdot 11^{18} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$4.983701257$ |
$0.134106323$ |
3.224221700 |
\( \frac{6249803494931}{29895091875} a + \frac{8603310933241}{9965030625} \) |
\( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( -1091 a + 1844\) , \( -20902 a + 168\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-1091a+1844\right){x}-20902a+168$ |
| 27225.5-d7 |
27225.5-d |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{8} \cdot 5^{12} \cdot 11^{8} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{6} \cdot 3 \) |
$0.830616876$ |
$0.268212646$ |
3.224221700 |
\( -\frac{32857059929}{125296875} a + \frac{121892766227}{125296875} \) |
\( \bigl[1\) , \( 1\) , \( a + 1\) , \( 170 a - 547\) , \( -2726 a - 562\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(170a-547\right){x}-2726a-562$ |
| 27225.5-d8 |
27225.5-d |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{13} \cdot 5^{15} \cdot 11^{7} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1.661233752$ |
$0.134106323$ |
3.224221700 |
\( \frac{1032777340820292487}{1427209716796875} a + \frac{3533183376724708442}{1427209716796875} \) |
\( \bigl[1\) , \( 1\) , \( a + 1\) , \( -545 a + 3138\) , \( -27234 a + 3585\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-545a+3138\right){x}-27234a+3585$ |
| 27225.5-e1 |
27225.5-e |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{6} \cdot 5^{6} \cdot 11^{12} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1$ |
$0.328196280$ |
1.583278428 |
\( \frac{483175037}{67381875} a - \frac{1314403418}{22460625} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -55 a - 85\) , \( -2079 a - 637\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(-55a-85\right){x}-2079a-637$ |
| 27225.5-e2 |
27225.5-e |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{3} \cdot 5^{6} \cdot 11^{9} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.656392560$ |
1.583278428 |
\( \frac{10537656533}{680625} a + \frac{1093629851}{226875} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 110 a - 140\) , \( -605 a + 155\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(110a-140\right){x}-605a+155$ |
| 27225.5-e3 |
27225.5-e |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{3} \cdot 5^{3} \cdot 11^{18} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{4} \) |
$1$ |
$0.164098140$ |
1.583278428 |
\( -\frac{5064596155691}{398601225} a + \frac{2602602109909}{132867075} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -880 a + 3215\) , \( -29469 a - 29677\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(-880a+3215\right){x}-29469a-29677$ |
| 27225.5-e4 |
27225.5-e |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{12} \cdot 5^{9} \cdot 11^{9} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.164098140$ |
1.583278428 |
\( -\frac{4414177947758597}{310109765625} a + \frac{23562162622392683}{103369921875} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -1870 a - 2505\) , \( -65725 a - 23385\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(-1870a-2505\right){x}-65725a-23385$ |
| 27225.5-f1 |
27225.5-f |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{6} \cdot 5^{6} \cdot 11^{12} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1$ |
$0.328196280$ |
1.583278428 |
\( -\frac{483175037}{67381875} a - \frac{3460035217}{67381875} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 55 a - 140\) , \( 2079 a - 2716\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(55a-140\right){x}+2079a-2716$ |
| 27225.5-f2 |
27225.5-f |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{3} \cdot 5^{3} \cdot 11^{18} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{4} \) |
$1$ |
$0.164098140$ |
1.583278428 |
\( \frac{5064596155691}{398601225} a + \frac{2743210174036}{398601225} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 880 a + 2335\) , \( 29469 a - 59146\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(880a+2335\right){x}+29469a-59146$ |
| 27225.5-f3 |
27225.5-f |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{3} \cdot 5^{6} \cdot 11^{9} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.656392560$ |
1.583278428 |
\( -\frac{10537656533}{680625} a + \frac{13818546086}{680625} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -110 a - 30\) , \( 605 a - 450\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(-110a-30\right){x}+605a-450$ |
| 27225.5-f4 |
27225.5-f |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{12} \cdot 5^{9} \cdot 11^{9} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.164098140$ |
1.583278428 |
\( \frac{4414177947758597}{310109765625} a + \frac{66272309919419452}{310109765625} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 1870 a - 4375\) , \( 65725 a - 89110\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(1870a-4375\right){x}+65725a-89110$ |
| 27225.5-g1 |
27225.5-g |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{5} \cdot 5^{6} \cdot 11^{7} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.922135016$ |
$0.965609517$ |
4.295559029 |
\( -\frac{30200816}{185625} a + \frac{172037969}{185625} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( 23 a - 1\) , \( 48 a - 86\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(23a-1\right){x}+48a-86$ |
| 27225.5-g2 |
27225.5-g |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{10} \cdot 5^{6} \cdot 11^{8} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{8} \) |
$0.461067508$ |
$0.482804758$ |
4.295559029 |
\( \frac{222037448}{455625} a + \frac{14312724599}{5011875} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( -142 a + 54\) , \( 389 a - 933\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-142a+54\right){x}+389a-933$ |
| 27225.5-g3 |
27225.5-g |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{14} \cdot 5^{9} \cdot 11^{7} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.922135016$ |
$0.241402379$ |
4.295559029 |
\( -\frac{14956078237602302}{2283535546875} a + \frac{59544017512246409}{2283535546875} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( -857 a + 109\) , \( -11392 a + 14214\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-857a+109\right){x}-11392a+14214$ |
| 27225.5-g4 |
27225.5-g |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{11} \cdot 5^{3} \cdot 11^{10} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.922135016$ |
$0.241402379$ |
4.295559029 |
\( \frac{4154211705134}{1804275} a + \frac{22020576493799}{6615675} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( -2067 a + 879\) , \( 34874 a - 68748\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2067a+879\right){x}+34874a-68748$ |
| 27225.5-h1 |
27225.5-h |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{3} \cdot 5^{5} \cdot 11^{10} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.614835754$ |
$0.470604812$ |
3.666134217 |
\( -\frac{16206760423}{61875} a - \frac{314606253799}{680625} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( 167 a + 534\) , \( 3488 a - 6207\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(167a+534\right){x}+3488a-6207$ |
| 27225.5-h2 |
27225.5-h |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{12} \cdot 5^{5} \cdot 11^{7} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.403708938$ |
$0.470604812$ |
3.666134217 |
\( -\frac{156915268913}{45106875} a - \frac{2183661110083}{45106875} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( -163 a + 424\) , \( -956 a - 2445\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-163a+424\right){x}-956a-2445$ |
| 27225.5-h3 |
27225.5-h |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{6} \cdot 5^{4} \cdot 11^{8} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.807417877$ |
$0.941209624$ |
3.666134217 |
\( \frac{751271}{2025} a + \frac{4420082}{22275} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( 2 a + 39\) , \( 56 a - 168\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(2a+39\right){x}+56a-168$ |
| 27225.5-h4 |
27225.5-h |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{3} \cdot 5^{2} \cdot 11^{7} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.614835754$ |
$1.882419248$ |
3.666134217 |
\( -\frac{872821}{495} a + \frac{379331}{99} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( 2 a - 16\) , \( a - 14\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(2a-16\right){x}+a-14$ |
| 27225.5-i1 |
27225.5-i |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{5} \cdot 5^{6} \cdot 11^{7} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.922135016$ |
$0.965609517$ |
4.295559029 |
\( \frac{30200816}{185625} a + \frac{47279051}{61875} \) |
\( \bigl[a\) , \( 1\) , \( a + 1\) , \( -25 a + 23\) , \( -49 a - 38\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-25a+23\right){x}-49a-38$ |
| 27225.5-i2 |
27225.5-i |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{10} \cdot 5^{6} \cdot 11^{8} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{8} \) |
$0.461067508$ |
$0.482804758$ |
4.295559029 |
\( -\frac{222037448}{455625} a + \frac{5585045509}{1670625} \) |
\( \bigl[a\) , \( 1\) , \( a + 1\) , \( 140 a - 87\) , \( -390 a - 544\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(140a-87\right){x}-390a-544$ |
| 27225.5-i3 |
27225.5-i |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{14} \cdot 5^{9} \cdot 11^{7} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.922135016$ |
$0.241402379$ |
4.295559029 |
\( \frac{14956078237602302}{2283535546875} a + \frac{14862646424881369}{761178515625} \) |
\( \bigl[a\) , \( 1\) , \( a + 1\) , \( 855 a - 747\) , \( 11391 a + 2822\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(855a-747\right){x}+11391a+2822$ |
| 27225.5-i4 |
27225.5-i |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{11} \cdot 5^{3} \cdot 11^{10} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.922135016$ |
$0.241402379$ |
4.295559029 |
\( -\frac{4154211705134}{1804275} a + \frac{111758058237871}{19847025} \) |
\( \bigl[a\) , \( 1\) , \( a + 1\) , \( 2065 a - 1187\) , \( -34875 a - 33874\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(2065a-1187\right){x}-34875a-33874$ |
| 27225.5-j1 |
27225.5-j |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{3} \cdot 5^{5} \cdot 11^{10} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.614835754$ |
$0.470604812$ |
3.666134217 |
\( \frac{16206760423}{61875} a - \frac{164293539484}{226875} \) |
\( \bigl[a + 1\) , \( a\) , \( a\) , \( -169 a + 700\) , \( -2956 a - 2214\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-169a+700\right){x}-2956a-2214$ |
| 27225.5-j2 |
27225.5-j |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{12} \cdot 5^{5} \cdot 11^{7} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.403708938$ |
$0.470604812$ |
3.666134217 |
\( \frac{156915268913}{45106875} a - \frac{780192126332}{15035625} \) |
\( \bigl[a + 1\) , \( a\) , \( a\) , \( 161 a + 260\) , \( 1378 a - 3886\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(161a+260\right){x}+1378a-3886$ |
| 27225.5-j3 |
27225.5-j |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{6} \cdot 5^{4} \cdot 11^{8} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.807417877$ |
$0.941209624$ |
3.666134217 |
\( -\frac{751271}{2025} a + \frac{4228021}{7425} \) |
\( \bigl[a + 1\) , \( a\) , \( a\) , \( -4 a + 40\) , \( -19 a - 102\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-4a+40\right){x}-19a-102$ |
| 27225.5-j4 |
27225.5-j |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
27225.5 |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{3} \cdot 5^{2} \cdot 11^{7} \) |
$3.80695$ |
$(-a), (a-1), (-a-1), (a-2), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.614835754$ |
$1.882419248$ |
3.666134217 |
\( \frac{872821}{495} a + \frac{341278}{165} \) |
\( \bigl[a + 1\) , \( a\) , \( a\) , \( -4 a - 15\) , \( -19 a - 3\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-4a-15\right){x}-19a-3$ |
*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.
