| 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 |
| 28224.3-a1 |
28224.3-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 7^{3} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.151997293$ |
$4.037780990$ |
2.834705677 |
\( 768 a + 768 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 3\) , \( -2 a\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+3{x}-2a$ |
| 28224.3-a2 |
28224.3-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{3} \cdot 7^{3} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.303994586$ |
$2.018890495$ |
2.834705677 |
\( -77808 a + 13056 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -20 a + 28\) , \( 24 a + 20\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-20a+28\right){x}+24a+20$ |
| 28224.3-b1 |
28224.3-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{7} \cdot 7^{7} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.976637884$ |
$0.338531005$ |
3.090686286 |
\( \frac{325140500}{21} a - \frac{527434000}{21} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 2366 a - 1285\) , \( -30143 a - 8881\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(2366a-1285\right){x}-30143a-8881$ |
| 28224.3-b2 |
28224.3-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{22} \cdot 3^{8} \cdot 7^{14} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$3.953275769$ |
$0.169265502$ |
3.090686286 |
\( \frac{27056768750}{17294403} a - \frac{88919428250}{5764801} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -3034 a + 1475\) , \( -47159 a + 62327\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-3034a+1475\right){x}-47159a+62327$ |
| 28224.3-b3 |
28224.3-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{7} \cdot 7^{7} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.494159471$ |
$1.354124020$ |
3.090686286 |
\( \frac{160000}{21} a - \frac{128000}{21} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 26 a - 40\) , \( 79 a - 112\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(26a-40\right){x}+79a-112$ |
| 28224.3-b4 |
28224.3-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{10} \cdot 7^{10} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1.976637884$ |
$0.338531005$ |
3.090686286 |
\( \frac{22841500}{21609} a - \frac{23932000}{21609} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -154 a + 395\) , \( -4103 a + 1199\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-154a+395\right){x}-4103a+1199$ |
| 28224.3-b5 |
28224.3-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{8} \cdot 7^{8} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.988318942$ |
$0.677062010$ |
3.090686286 |
\( -\frac{746000}{147} a + \frac{86000}{49} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 146 a - 85\) , \( -395 a - 265\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(146a-85\right){x}-395a-265$ |
| 28224.3-b6 |
28224.3-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{22} \cdot 3^{14} \cdot 7^{8} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$3.953275769$ |
$0.169265502$ |
3.090686286 |
\( -\frac{11086896250}{3969} a + \frac{2557180750}{1323} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -2074 a + 6995\) , \( -196439 a + 21287\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-2074a+6995\right){x}-196439a+21287$ |
| 28224.3-c1 |
28224.3-c |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{7} \cdot 7^{6} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.220721263$ |
$0.793297756$ |
3.234966217 |
\( \frac{73696}{3} a - \frac{624368}{3} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -210 a + 171\) , \( 237 a - 1041\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-210a+171\right){x}+237a-1041$ |
| 28224.3-c2 |
28224.3-c |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{7} \cdot 7^{6} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.220721263$ |
$0.793297756$ |
3.234966217 |
\( -\frac{73696}{3} a - \frac{550672}{3} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -180 a - 24\) , \( -1320 a + 480\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-180a-24\right){x}-1320a+480$ |
| 28224.3-c3 |
28224.3-c |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{22} \cdot 3^{22} \cdot 7^{6} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$3.531540208$ |
$0.198324439$ |
3.234966217 |
\( \frac{207646}{6561} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -375 a + 141\) , \( 10281 a + 9084\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-375a+141\right){x}+10281a+9084$ |
| 28224.3-c4 |
28224.3-c |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 7^{6} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.441442526$ |
$1.586595513$ |
3.234966217 |
\( \frac{2048}{3} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -15 a + 6\) , \( -24 a - 6\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-15a+6\right){x}-24a-6$ |
| 28224.3-c5 |
28224.3-c |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{10} \cdot 7^{6} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.882885052$ |
$0.793297756$ |
3.234966217 |
\( \frac{35152}{9} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 105 a - 39\) , \( -99 a - 180\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(105a-39\right){x}-99a-180$ |
| 28224.3-c6 |
28224.3-c |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{14} \cdot 7^{6} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1.765770104$ |
$0.396648878$ |
3.234966217 |
\( \frac{1556068}{81} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 585 a - 219\) , \( 2961 a + 1980\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(585a-219\right){x}+2961a+1980$ |
| 28224.3-c7 |
28224.3-c |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{8} \cdot 7^{6} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.765770104$ |
$0.396648878$ |
3.234966217 |
\( \frac{28756228}{3} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 1545 a - 579\) , \( -11079 a - 10836\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(1545a-579\right){x}-11079a-10836$ |
| 28224.3-c8 |
28224.3-c |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{22} \cdot 3^{10} \cdot 7^{6} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$3.531540208$ |
$0.198324439$ |
3.234966217 |
\( \frac{3065617154}{9} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 9225 a - 3459\) , \( 179001 a + 143676\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(9225a-3459\right){x}+179001a+143676$ |
| 28224.3-d1 |
28224.3-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{8} \cdot 7^{7} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.464193648$ |
2.144018622 |
\( \frac{97542176}{21} a - \frac{12638992}{7} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -52 a - 856\) , \( 1232 a + 9892\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-52a-856\right){x}+1232a+9892$ |
| 28224.3-d2 |
28224.3-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{8} \cdot 7^{10} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$0.464193648$ |
2.144018622 |
\( \frac{14733184}{7203} a - \frac{30152432}{2401} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -367 a + 89\) , \( -2485 a + 2080\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-367a+89\right){x}-2485a+2080$ |
| 28224.3-d3 |
28224.3-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{14} \cdot 7^{7} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.464193648$ |
2.144018622 |
\( \frac{2145056}{567} a - \frac{583312}{189} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 278 a - 61\) , \( 803 a + 1141\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(278a-61\right){x}+803a+1141$ |
| 28224.3-d4 |
28224.3-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{7} \cdot 7^{14} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.232096824$ |
2.144018622 |
\( \frac{16918844552}{17294403} a - \frac{23262546340}{17294403} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -487 a + 869\) , \( -10897 a - 2336\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-487a+869\right){x}-10897a-2336$ |
| 28224.3-d5 |
28224.3-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 7^{8} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$0.928387296$ |
2.144018622 |
\( -\frac{647168}{441} a - \frac{47104}{441} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -7 a - 46\) , \( 8 a + 208\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-7a-46\right){x}+8a+208$ |
| 28224.3-d6 |
28224.3-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{7} \cdot 7^{8} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{3} \) |
$1$ |
$0.232096824$ |
2.144018622 |
\( -\frac{7384301576}{147} a + \frac{25339394260}{147} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -6007 a + 1469\) , \( -162985 a + 134224\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-6007a+1469\right){x}-162985a+134224$ |
| 28224.3-e1 |
28224.3-e |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 7^{8} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2Cn |
$1$ |
\( 2 \) |
$1$ |
$0.841467970$ |
1.943287036 |
\( -1024 a + 3072 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 77 a - 4\) , \( 82 a - 205\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(77a-4\right){x}+82a-205$ |
| 28224.3-f1 |
28224.3-f |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{7} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.293072232$ |
$1.228270874$ |
3.325279703 |
\( -\frac{3840}{7} a + \frac{3072}{7} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 9 a + 15\) , \( 75 a - 22\bigr] \) |
${y}^2={x}^{3}+\left(9a+15\right){x}+75a-22$ |
| 28224.3-f2 |
28224.3-f |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{9} \cdot 7^{8} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.586144464$ |
$0.614135437$ |
3.325279703 |
\( \frac{242448}{49} a + \frac{59856}{49} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -156 a - 15\) , \( 852 a - 442\bigr] \) |
${y}^2={x}^{3}+\left(-156a-15\right){x}+852a-442$ |
| 28224.3-g1 |
28224.3-g |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{12} \cdot 7^{9} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.419668822$ |
1.938367259 |
\( \frac{29968}{27} a - \frac{2080}{3} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 245 a - 67\) , \( -1765 a - 248\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(245a-67\right){x}-1765a-248$ |
| 28224.3-g2 |
28224.3-g |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{9} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.839337644$ |
1.938367259 |
\( -\frac{41728}{9} a + \frac{27392}{9} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -40 a - 52\) , \( -103 a - 173\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-40a-52\right){x}-103a-173$ |
| 28224.3-h1 |
28224.3-h |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{9} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.881116048$ |
2.034850352 |
\( 768 a + 768 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 3 a + 54\) , \( 87 a - 149\bigr] \) |
${y}^2={x}^{3}+\left(3a+54\right){x}+87a-149$ |
| 28224.3-h2 |
28224.3-h |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.3 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{9} \cdot 7^{9} \) |
$2.00611$ |
$(-2a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.440558024$ |
2.034850352 |
\( -77808 a + 13056 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -252 a + 609\) , \( -4344 a - 674\bigr] \) |
${y}^2={x}^{3}+\left(-252a+609\right){x}-4344a-674$ |
*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.
