| 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 |
| 16875.8-a1 |
16875.8-a |
$4$ |
$15$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{22} \cdot 5^{12} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3, 5$ |
3B, 5B |
$1$ |
\( 2^{2} \) |
$1$ |
$0.363533104$ |
0.876874840 |
\( \frac{3896442880}{14348907} a + \frac{26559610880}{14348907} \) |
\( \bigl[0\) , \( -a\) , \( 1\) , \( 77 a + 309\) , \( 366 a - 1290\bigr] \) |
${y}^2+{y}={x}^{3}-a{x}^{2}+\left(77a+309\right){x}+366a-1290$ |
| 16875.8-a2 |
16875.8-a |
$4$ |
$15$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{22} \cdot 5^{12} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3, 5$ |
3B, 5B |
$1$ |
\( 2^{2} \) |
$1$ |
$0.363533104$ |
0.876874840 |
\( -\frac{3896442880}{14348907} a + \frac{10152017920}{4782969} \) |
\( \bigl[0\) , \( -a\) , \( 1\) , \( -223 a + 129\) , \( 786 a - 1200\bigr] \) |
${y}^2+{y}={x}^{3}-a{x}^{2}+\left(-223a+129\right){x}+786a-1200$ |
| 16875.8-a3 |
16875.8-a |
$4$ |
$15$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{14} \cdot 5^{12} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3, 5$ |
3B, 5B |
$1$ |
\( 2^{2} \) |
$1$ |
$0.363533104$ |
0.876874840 |
\( \frac{2105016320}{243} a + \frac{289669120}{81} \) |
\( \bigl[0\) , \( -a\) , \( 1\) , \( -173 a + 1779\) , \( -16534 a + 990\bigr] \) |
${y}^2+{y}={x}^{3}-a{x}^{2}+\left(-173a+1779\right){x}-16534a+990$ |
| 16875.8-a4 |
16875.8-a |
$4$ |
$15$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{14} \cdot 5^{12} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3, 5$ |
3B, 5B |
$1$ |
\( 2^{2} \) |
$1$ |
$0.363533104$ |
0.876874840 |
\( -\frac{2105016320}{243} a + \frac{2974023680}{243} \) |
\( \bigl[0\) , \( -a\) , \( 1\) , \( -873 a + 1359\) , \( 926 a + 25920\bigr] \) |
${y}^2+{y}={x}^{3}-a{x}^{2}+\left(-873a+1359\right){x}+926a+25920$ |
| 16875.8-b1 |
16875.8-b |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{20} \cdot 5^{16} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
|
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$0.241831362$ |
0.874978791 |
\( -\frac{10241915}{2187} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a\) , \( 330 a - 990\) , \( 6423 a - 11671\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(330a-990\right){x}+6423a-11671$ |
| 16875.8-c1 |
16875.8-c |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{10} \cdot 5^{18} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.501160700$ |
1.208845092 |
\( -\frac{343}{9} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 17 a - 53\) , \( 485 a - 890\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(17a-53\right){x}+485a-890$ |
| 16875.8-c2 |
16875.8-c |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{14} \cdot 5^{18} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.250580350$ |
1.208845092 |
\( \frac{15069223}{81} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 642 a - 1928\) , \( 14860 a - 27140\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(642a-1928\right){x}+14860a-27140$ |
| 16875.8-d1 |
16875.8-d |
$4$ |
$15$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{11} \cdot 5^{8} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3, 5$ |
3B, 5B |
$1$ |
\( 1 \) |
$1$ |
$0.692871952$ |
0.417817508 |
\( \frac{10449954757}{243} a - \frac{3680765176}{81} \) |
\( \bigl[1\) , \( -a - 1\) , \( 0\) , \( 20 a - 573\) , \( -83 a + 5424\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(20a-573\right){x}-83a+5424$ |
| 16875.8-d2 |
16875.8-d |
$4$ |
$15$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{21} \cdot 5^{8} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3, 5$ |
3B, 5B |
$1$ |
\( 1 \) |
$1$ |
$0.692871952$ |
0.417817508 |
\( \frac{507968593}{14348907} a + \frac{3353625341}{4782969} \) |
\( \bigl[a\) , \( a\) , \( 0\) , \( 30 a - 72\) , \( 45 a + 216\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(30a-72\right){x}+45a+216$ |
| 16875.8-d3 |
16875.8-d |
$4$ |
$15$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{9} \cdot 5^{16} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3, 5$ |
3B, 5B |
$1$ |
\( 1 \) |
$1$ |
$0.692871952$ |
0.417817508 |
\( -\frac{24167}{27} a + \frac{17576}{9} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 55 a + 19\) , \( 42 a - 295\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(55a+19\right){x}+42a-295$ |
| 16875.8-d4 |
16875.8-d |
$4$ |
$15$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{7} \cdot 5^{16} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3, 5$ |
3B, 5B |
$1$ |
\( 1 \) |
$1$ |
$0.692871952$ |
0.417817508 |
\( -\frac{77363}{3} a + 34089 \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( -32 a + 208\) , \( 592 a + 28\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-32a+208\right){x}+592a+28$ |
| 16875.8-e1 |
16875.8-e |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{12} \cdot 5^{6} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$5$ |
5B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.124171040$ |
$1.981558014$ |
3.561000280 |
\( \frac{311905}{243} a + \frac{139055}{81} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -4 a - 9\) , \( 12 a + 7\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-4a-9\right){x}+12a+7$ |
| 16875.8-e2 |
16875.8-e |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{12} \cdot 5^{18} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$5$ |
5B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.620855203$ |
$0.396311602$ |
3.561000280 |
\( -\frac{311905}{243} a + \frac{729070}{243} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 206 a - 54\) , \( -483 a - 1703\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(206a-54\right){x}-483a-1703$ |
| 16875.8-f1 |
16875.8-f |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{10} \cdot 5^{16} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.528883662$ |
1.275715392 |
\( \frac{84015547}{3375} a - \frac{96331873}{3375} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -70 a - 281\) , \( 892 a + 1655\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-70a-281\right){x}+892a+1655$ |
| 16875.8-f2 |
16875.8-f |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{10} \cdot 5^{16} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.528883662$ |
1.275715392 |
\( -\frac{84015547}{3375} a - \frac{4105442}{1125} \) |
\( \bigl[a\) , \( a\) , \( 1\) , \( 202 a - 117\) , \( -1080 a - 1303\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(202a-117\right){x}-1080a-1303$ |
| 16875.8-f3 |
16875.8-f |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{14} \cdot 5^{20} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{7} \) |
$1$ |
$0.264441831$ |
1.275715392 |
\( \frac{1217478647}{11390625} a - \frac{534233498}{11390625} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -195 a + 94\) , \( -108 a + 6905\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-195a+94\right){x}-108a+6905$ |
| 16875.8-f4 |
16875.8-f |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{14} \cdot 5^{20} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{7} \) |
$1$ |
$0.264441831$ |
1.275715392 |
\( -\frac{1217478647}{11390625} a + \frac{227748383}{3796875} \) |
\( \bigl[a\) , \( a\) , \( 1\) , \( 77 a + 258\) , \( -4080 a + 947\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(77a+258\right){x}-4080a+947$ |
| 16875.8-f5 |
16875.8-f |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{13} \cdot 5^{25} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.132220915$ |
1.275715392 |
\( \frac{93926997067673}{19775390625} a + \frac{105891919018084}{19775390625} \) |
\( \bigl[a\) , \( a\) , \( 1\) , \( -2173 a - 867\) , \( -58080 a + 41447\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-2173a-867\right){x}-58080a+41447$ |
| 16875.8-f6 |
16875.8-f |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{13} \cdot 5^{25} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.132220915$ |
1.275715392 |
\( -\frac{93926997067673}{19775390625} a + \frac{66606305361919}{6591796875} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 1930 a + 1594\) , \( -18108 a + 101405\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(1930a+1594\right){x}-18108a+101405$ |
| 16875.8-f7 |
16875.8-f |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{19} \cdot 5^{19} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.132220915$ |
1.275715392 |
\( \frac{59052841710247}{332150625} a + \frac{4469076589604}{110716875} \) |
\( \bigl[a\) , \( a\) , \( 1\) , \( 327 a + 7383\) , \( -148580 a + 101447\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(327a+7383\right){x}-148580a+101447$ |
| 16875.8-f8 |
16875.8-f |
$8$ |
$12$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{19} \cdot 5^{19} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.132220915$ |
1.275715392 |
\( -\frac{59052841710247}{332150625} a + \frac{72460071479059}{332150625} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -4320 a + 4594\) , \( -43608 a + 258905\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-4320a+4594\right){x}-43608a+258905$ |
| 16875.8-g1 |
16875.8-g |
$4$ |
$10$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{18} \cdot 5^{12} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.352774839$ |
0.850924929 |
\( \frac{19809319915}{59049} a - \frac{9262004938}{59049} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 695 a - 461\) , \( -7588 a - 4535\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(695a-461\right){x}-7588a-4535$ |
| 16875.8-g2 |
16875.8-g |
$4$ |
$10$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{30} \cdot 5^{12} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.176387419$ |
0.850924929 |
\( \frac{625650494315}{3486784401} a + \frac{4791030939343}{3486784401} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 870 a - 311\) , \( -6938 a + 5665\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(870a-311\right){x}-6938a+5665$ |
| 16875.8-g3 |
16875.8-g |
$4$ |
$10$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{30} \cdot 5^{12} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.176387419$ |
0.850924929 |
\( -\frac{625650494315}{3486784401} a + \frac{1805560477886}{1162261467} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 246 a + 1266\) , \( 5117 a + 3097\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(246a+1266\right){x}+5117a+3097$ |
| 16875.8-g4 |
16875.8-g |
$4$ |
$10$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{18} \cdot 5^{12} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.352774839$ |
0.850924929 |
\( -\frac{19809319915}{59049} a + \frac{3515771659}{19683} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 71 a + 1116\) , \( 8892 a - 7328\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(71a+1116\right){x}+8892a-7328$ |
| 16875.8-h1 |
16875.8-h |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{7} \cdot 5^{11} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B |
$1$ |
\( 2 \) |
$1$ |
$1.660372449$ |
2.002484518 |
\( -\frac{343}{3} a - 343 \) |
\( \bigl[a\) , \( a\) , \( 0\) , \( 5 a + 3\) , \( 10 a - 39\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(5a+3\right){x}+10a-39$ |
| 16875.8-h2 |
16875.8-h |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{11} \cdot 5^{7} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B |
$1$ |
\( 2 \) |
$1$ |
$1.660372449$ |
2.002484518 |
\( \frac{4015757}{243} a + \frac{355852}{81} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 20 a - 11\) , \( -38 a - 10\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(20a-11\right){x}-38a-10$ |
| 16875.8-i1 |
16875.8-i |
$4$ |
$6$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{6} \cdot 5^{14} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1.336172993$ |
$1.193226464$ |
3.845733729 |
\( \frac{622427}{675} a + \frac{188197}{225} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -19 a + 21\) , \( 17 a + 47\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-19a+21\right){x}+17a+47$ |
| 16875.8-i2 |
16875.8-i |
$4$ |
$6$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{11} \cdot 5^{24} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \) |
$2.004259490$ |
$0.198871077$ |
3.845733729 |
\( -\frac{952048109087}{2197265625} a + \frac{1502301807293}{732421875} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 606 a + 396\) , \( 3267 a - 9828\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(606a+396\right){x}+3267a-9828$ |
| 16875.8-i3 |
16875.8-i |
$4$ |
$6$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{9} \cdot 5^{16} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \) |
$0.668086496$ |
$0.596613232$ |
3.845733729 |
\( -\frac{8044322507}{455625} a + \frac{677729048}{151875} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -144 a + 21\) , \( 892 a - 1078\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-144a+21\right){x}+892a-1078$ |
| 16875.8-i4 |
16875.8-i |
$4$ |
$6$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{10} \cdot 5^{18} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$4.008518981$ |
$0.397742154$ |
3.845733729 |
\( \frac{1392404117}{46875} a + \frac{189263662}{15625} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 356 a + 21\) , \( 892 a + 5172\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(356a+21\right){x}+892a+5172$ |
| 16875.8-j1 |
16875.8-j |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{7} \cdot 5^{5} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B |
$1$ |
\( 2 \) |
$0.462867082$ |
$3.712705664$ |
4.145152005 |
\( -\frac{343}{3} a - 343 \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a\) , \( 0\) , \( -2 a + 4\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}-2a+4$ |
| 16875.8-j2 |
16875.8-j |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{11} \cdot 5^{13} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B |
$1$ |
\( 2 \) |
$2.314335410$ |
$0.742541132$ |
4.145152005 |
\( \frac{4015757}{243} a + \frac{355852}{81} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a\) , \( -10 a + 165\) , \( 448 a - 221\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-10a+165\right){x}+448a-221$ |
| 16875.8-k1 |
16875.8-k |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{13} \cdot 5^{17} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.374535050$ |
1.806825066 |
\( \frac{15729561967}{1476225} a - \frac{2695610401}{492075} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a\) , \( 305 a - 390\) , \( -3227 a + 1429\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(305a-390\right){x}-3227a+1429$ |
| 16875.8-k2 |
16875.8-k |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{8} \cdot 5^{16} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.749070100$ |
1.806825066 |
\( -\frac{1768663}{1215} a + \frac{880654}{405} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a\) , \( 55 a - 15\) , \( 23 a + 304\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(55a-15\right){x}+23a+304$ |
| 16875.8-l1 |
16875.8-l |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{12} \cdot 5^{12} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$5$ |
5B |
$1$ |
\( 2 \) |
$1$ |
$0.886179684$ |
1.068772912 |
\( \frac{311905}{243} a + \frac{139055}{81} \) |
\( \bigl[a\) , \( a\) , \( a\) , \( 37 a - 48\) , \( -124 a + 48\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(37a-48\right){x}-124a+48$ |
| 16875.8-l2 |
16875.8-l |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{12} \cdot 5^{12} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$5$ |
5B |
$1$ |
\( 2 \) |
$1$ |
$0.886179684$ |
1.068772912 |
\( -\frac{311905}{243} a + \frac{729070}{243} \) |
\( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( 2 a - 71\) , \( -15 a + 212\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(2a-71\right){x}-15a+212$ |
| 16875.8-m1 |
16875.8-m |
$4$ |
$10$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{18} \cdot 5^{6} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.788828522$ |
1.902725986 |
\( \frac{19809319915}{59049} a - \frac{9262004938}{59049} \) |
\( \bigl[a\) , \( a\) , \( a\) , \( -28 a - 213\) , \( 146 a + 1263\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-28a-213\right){x}+146a+1263$ |
| 16875.8-m2 |
16875.8-m |
$4$ |
$10$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{30} \cdot 5^{6} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.394414261$ |
1.902725986 |
\( \frac{625650494315}{3486784401} a + \frac{4791030939343}{3486784401} \) |
\( \bigl[a\) , \( a\) , \( a\) , \( -3 a - 288\) , \( 396 a + 288\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-3a-288\right){x}+396a+288$ |
| 16875.8-m3 |
16875.8-m |
$4$ |
$10$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{30} \cdot 5^{6} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.394414261$ |
1.902725986 |
\( -\frac{625650494315}{3486784401} a + \frac{1805560477886}{1162261467} \) |
\( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( 162 a - 191\) , \( -215 a - 628\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(162a-191\right){x}-215a-628$ |
| 16875.8-m4 |
16875.8-m |
$4$ |
$10$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{18} \cdot 5^{6} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.788828522$ |
1.902725986 |
\( -\frac{19809319915}{59049} a + \frac{3515771659}{19683} \) |
\( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( 137 a - 116\) , \( -765 a - 103\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(137a-116\right){x}-765a-103$ |
| 16875.8-n1 |
16875.8-n |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{20} \cdot 5^{10} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
|
$1$ |
\( 2^{2} \cdot 3 \) |
$0.780723607$ |
$0.540751365$ |
6.109980598 |
\( -\frac{10241915}{2187} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -105 a - 41\) , \( -683 a + 355\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-105a-41\right){x}-683a+355$ |
| 16875.8-o1 |
16875.8-o |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{10} \cdot 5^{12} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$1.120629392$ |
2.703059800 |
\( -\frac{343}{9} \) |
\( \bigl[1\) , \( -a - 1\) , \( 0\) , \( -5 a - 3\) , \( -53 a + 29\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-5a-3\right){x}-53a+29$ |
| 16875.8-o2 |
16875.8-o |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{14} \cdot 5^{12} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.560314696$ |
2.703059800 |
\( \frac{15069223}{81} \) |
\( \bigl[1\) , \( -a - 1\) , \( 0\) , \( -205 a - 78\) , \( -1603 a + 854\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-205a-78\right){x}-1603a+854$ |
| 16875.8-p1 |
16875.8-p |
$4$ |
$15$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{22} \cdot 5^{18} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3, 5$ |
3B, 5B |
$1$ |
\( 2 \cdot 3 \) |
$5.694606238$ |
$0.162576946$ |
6.699425490 |
\( \frac{3896442880}{14348907} a + \frac{26559610880}{14348907} \) |
\( \bigl[0\) , \( -a\) , \( 1\) , \( -1083 a + 999\) , \( 51 a + 14420\bigr] \) |
${y}^2+{y}={x}^{3}-a{x}^{2}+\left(-1083a+999\right){x}+51a+14420$ |
| 16875.8-p2 |
16875.8-p |
$4$ |
$15$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{22} \cdot 5^{6} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3, 5$ |
3B, 5B |
$1$ |
\( 2 \) |
$3.416763743$ |
$0.812884732$ |
6.699425490 |
\( -\frac{3896442880}{14348907} a + \frac{10152017920}{4782969} \) |
\( \bigl[0\) , \( -a\) , \( 1\) , \( 7 a + 69\) , \( -99 a + 20\bigr] \) |
${y}^2+{y}={x}^{3}-a{x}^{2}+\left(7a+69\right){x}-99a+20$ |
| 16875.8-p3 |
16875.8-p |
$4$ |
$15$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{14} \cdot 5^{6} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3, 5$ |
3B, 5B |
$1$ |
\( 2 \cdot 3 \) |
$1.138921247$ |
$0.812884732$ |
6.699425490 |
\( \frac{2105016320}{243} a + \frac{289669120}{81} \) |
\( \bigl[0\) , \( -a\) , \( 1\) , \( 207 a - 81\) , \( 891 a + 1640\bigr] \) |
${y}^2+{y}={x}^{3}-a{x}^{2}+\left(207a-81\right){x}+891a+1640$ |
| 16875.8-p4 |
16875.8-p |
$4$ |
$15$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{14} \cdot 5^{18} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3, 5$ |
3B, 5B |
$1$ |
\( 2 \) |
$17.08381871$ |
$0.162576946$ |
6.699425490 |
\( -\frac{2105016320}{243} a + \frac{2974023680}{243} \) |
\( \bigl[0\) , \( -a\) , \( 1\) , \( -2333 a - 6501\) , \( -116199 a - 176830\bigr] \) |
${y}^2+{y}={x}^{3}-a{x}^{2}+\left(-2333a-6501\right){x}-116199a-176830$ |
| 16875.8-q1 |
16875.8-q |
$4$ |
$15$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{22} \cdot 5^{12} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3, 5$ |
3B.1.2, 5B |
$1$ |
\( 2 \) |
$4.565990297$ |
$0.363533104$ |
4.003802012 |
\( \frac{3896442880}{14348907} a + \frac{26559610880}{14348907} \) |
\( \bigl[0\) , \( a\) , \( 1\) , \( -33 a - 351\) , \( -626 a - 833\bigr] \) |
${y}^2+{y}={x}^{3}+a{x}^{2}+\left(-33a-351\right){x}-626a-833$ |
| 16875.8-q2 |
16875.8-q |
$4$ |
$15$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
16875.8 |
\( 3^{3} \cdot 5^{4} \) |
\( 3^{22} \cdot 5^{12} \) |
$3.37789$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3, 5$ |
3B.1.1, 5B |
$1$ |
\( 2 \cdot 3^{3} \cdot 5 \) |
$0.304399353$ |
$0.363533104$ |
4.003802012 |
\( -\frac{3896442880}{14348907} a + \frac{10152017920}{4782969} \) |
\( \bigl[0\) , \( a\) , \( 1\) , \( 217 a - 201\) , \( 574 a + 517\bigr] \) |
${y}^2+{y}={x}^{3}+a{x}^{2}+\left(217a-201\right){x}+574a+517$ |
*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.
