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 |
28224.1-a1 |
28224.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{3} \cdot 7^{3} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.303994586$ |
$2.018890495$ |
2.834705677 |
\( 77808 a - 64752 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 8 a - 28\) , \( -24 a + 44\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(8a-28\right){x}-24a+44$ |
28224.1-a2 |
28224.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 7^{3} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.151997293$ |
$4.037780990$ |
2.834705677 |
\( -768 a + 1536 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 3 a - 3\) , \( 2 a - 2\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(3a-3\right){x}+2a-2$ |
28224.1-b1 |
28224.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{7} \cdot 7^{7} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.976637884$ |
$0.338531005$ |
3.090686286 |
\( -\frac{325140500}{21} a - \frac{202293500}{21} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 1286 a - 2365\) , \( 31223 a - 37739\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(1286a-2365\right){x}+31223a-37739$ |
28224.1-b2 |
28224.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{22} \cdot 3^{14} \cdot 7^{8} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$3.953275769$ |
$0.169265502$ |
3.090686286 |
\( \frac{11086896250}{3969} a - \frac{3415354000}{3969} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -6994 a + 2075\) , \( 201359 a - 182147\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-6994a+2075\right){x}+201359a-182147$ |
28224.1-b3 |
28224.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{22} \cdot 3^{8} \cdot 7^{14} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$3.953275769$ |
$0.169265502$ |
3.090686286 |
\( -\frac{27056768750}{17294403} a - \frac{239701516000}{17294403} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -1474 a + 3035\) , \( 45599 a + 13693\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-1474a+3035\right){x}+45599a+13693$ |
28224.1-b4 |
28224.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{8} \cdot 7^{8} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.988318942$ |
$0.677062010$ |
3.090686286 |
\( \frac{746000}{147} a - \frac{488000}{147} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 86 a - 145\) , \( 455 a - 575\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(86a-145\right){x}+455a-575$ |
28224.1-b5 |
28224.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{10} \cdot 7^{10} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1.976637884$ |
$0.338531005$ |
3.090686286 |
\( -\frac{22841500}{21609} a - \frac{363500}{7203} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -394 a + 155\) , \( 4343 a - 3299\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-394a+155\right){x}+4343a-3299$ |
28224.1-b6 |
28224.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{7} \cdot 7^{7} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.494159471$ |
$1.354124020$ |
3.090686286 |
\( -\frac{160000}{21} a + \frac{32000}{21} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 41 a - 25\) , \( -94 a + 7\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(41a-25\right){x}-94a+7$ |
28224.1-c1 |
28224.1-c |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{7} \cdot 7^{6} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.220721263$ |
$0.793297756$ |
3.234966217 |
\( \frac{73696}{3} a - \frac{624368}{3} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 25 a + 181\) , \( 1115 a - 816\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(25a+181\right){x}+1115a-816$ |
28224.1-c2 |
28224.1-c |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{7} \cdot 7^{6} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.220721263$ |
$0.793297756$ |
3.234966217 |
\( -\frac{73696}{3} a - \frac{550672}{3} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -170 a + 211\) , \( -277 a - 975\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-170a+211\right){x}-277a-975$ |
28224.1-c3 |
28224.1-c |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{22} \cdot 3^{22} \cdot 7^{6} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$3.531540208$ |
$0.198324439$ |
3.234966217 |
\( \frac{207646}{6561} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -140 a + 376\) , \( -10516 a + 19224\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-140a+376\right){x}-10516a+19224$ |
28224.1-c4 |
28224.1-c |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 7^{6} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.441442526$ |
$1.586595513$ |
3.234966217 |
\( \frac{2048}{3} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -5 a + 16\) , \( 14 a - 36\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-5a+16\right){x}+14a-36$ |
28224.1-c5 |
28224.1-c |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{10} \cdot 7^{6} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.882885052$ |
$0.793297756$ |
3.234966217 |
\( \frac{35152}{9} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 40 a - 104\) , \( 164 a - 240\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(40a-104\right){x}+164a-240$ |
28224.1-c6 |
28224.1-c |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{14} \cdot 7^{6} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1.765770104$ |
$0.396648878$ |
3.234966217 |
\( \frac{1556068}{81} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 220 a - 584\) , \( -2596 a + 5160\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(220a-584\right){x}-2596a+5160$ |
28224.1-c7 |
28224.1-c |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{8} \cdot 7^{6} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.765770104$ |
$0.396648878$ |
3.234966217 |
\( \frac{28756228}{3} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 580 a - 1544\) , \( 12044 a - 21336\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(580a-1544\right){x}+12044a-21336$ |
28224.1-c8 |
28224.1-c |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{22} \cdot 3^{10} \cdot 7^{6} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$3.531540208$ |
$0.198324439$ |
3.234966217 |
\( \frac{3065617154}{9} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 3460 a - 9224\) , \( -173236 a + 326136\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(3460a-9224\right){x}-173236a+326136$ |
28224.1-d1 |
28224.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{8} \cdot 7^{10} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$0.464193648$ |
2.144018622 |
\( -\frac{14733184}{7203} a - \frac{75724112}{7203} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -88 a + 368\) , \( 2764 a - 316\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-88a+368\right){x}+2764a-316$ |
28224.1-d2 |
28224.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 7^{8} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$0.928387296$ |
2.144018622 |
\( \frac{647168}{441} a - \frac{231424}{147} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 47 a + 8\) , \( 46 a + 170\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(47a+8\right){x}+46a+170$ |
28224.1-d3 |
28224.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{7} \cdot 7^{14} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.232096824$ |
2.144018622 |
\( -\frac{16918844552}{17294403} a - \frac{6343701788}{17294403} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -868 a + 488\) , \( 10516 a - 12364\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-868a+488\right){x}+10516a-12364$ |
28224.1-d4 |
28224.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{14} \cdot 7^{7} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.464193648$ |
2.144018622 |
\( -\frac{2145056}{567} a + \frac{395120}{567} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 62 a - 277\) , \( -1019 a + 1883\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(62a-277\right){x}-1019a+1883$ |
28224.1-d5 |
28224.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{8} \cdot 7^{7} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.464193648$ |
2.144018622 |
\( -\frac{97542176}{21} a + \frac{59625200}{21} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 857 a + 53\) , \( -323 a + 10268\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(857a+53\right){x}-323a+10268$ |
28224.1-d6 |
28224.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{7} \cdot 7^{8} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{3} \) |
$1$ |
$0.232096824$ |
2.144018622 |
\( \frac{7384301576}{147} a + \frac{17955092684}{147} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -1468 a + 6008\) , \( 167524 a - 27292\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-1468a+6008\right){x}+167524a-27292$ |
28224.1-e1 |
28224.1-e |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 7^{8} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2Cn |
$1$ |
\( 2 \) |
$1$ |
$0.841467970$ |
1.943287036 |
\( 1024 a + 2048 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -75 a + 72\) , \( -6 a - 195\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-75a+72\right){x}-6a-195$ |
28224.1-f1 |
28224.1-f |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{7} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.293072232$ |
$1.228270874$ |
3.325279703 |
\( \frac{3840}{7} a - \frac{768}{7} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -9 a + 24\) , \( -75 a + 53\bigr] \) |
${y}^2={x}^{3}+\left(-9a+24\right){x}-75a+53$ |
28224.1-f2 |
28224.1-f |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{9} \cdot 7^{8} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.586144464$ |
$0.614135437$ |
3.325279703 |
\( -\frac{242448}{49} a + \frac{302304}{49} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 156 a - 171\) , \( -852 a + 410\bigr] \) |
${y}^2={x}^{3}+\left(156a-171\right){x}-852a+410$ |
28224.1-g1 |
28224.1-g |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{9} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.839337644$ |
1.938367259 |
\( \frac{41728}{9} a - \frac{14336}{9} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -92 a + 52\) , \( 103 a - 276\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-92a+52\right){x}+103a-276$ |
28224.1-g2 |
28224.1-g |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{12} \cdot 7^{9} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.419668822$ |
1.938367259 |
\( -\frac{29968}{27} a + \frac{11248}{27} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 178 a + 67\) , \( 1765 a - 2013\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(178a+67\right){x}+1765a-2013$ |
28224.1-h1 |
28224.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{9} \cdot 7^{9} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.440558024$ |
2.034850352 |
\( 77808 a - 64752 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 252 a + 357\) , \( 4344 a - 5018\bigr] \) |
${y}^2={x}^{3}+\left(252a+357\right){x}+4344a-5018$ |
28224.1-h2 |
28224.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.1 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{9} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.881116048$ |
2.034850352 |
\( -768 a + 1536 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -3 a + 57\) , \( -87 a - 62\bigr] \) |
${y}^2={x}^{3}+\left(-3a+57\right){x}-87a-62$ |
*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.