| 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 |
| 76800.1-a1 |
76800.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{24} \cdot 3^{4} \cdot 5^{8} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.516278469$ |
$0.831404464$ |
1.982557200 |
\( \frac{85184}{5625} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 15\) , \( 225\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+15{x}+225$ |
| 76800.1-a2 |
76800.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{16} \cdot 5^{2} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$2.065113879$ |
$0.831404464$ |
1.982557200 |
\( \frac{111980168}{32805} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -80\) , \( -168\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-80{x}-168$ |
| 76800.1-a3 |
76800.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{4} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1.032556939$ |
$1.662808929$ |
1.982557200 |
\( \frac{48228544}{2025} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -30\) , \( 72\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-30{x}+72$ |
| 76800.1-a4 |
76800.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{2} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$2.065113879$ |
$0.831404464$ |
1.982557200 |
\( \frac{23937672968}{45} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -480\) , \( 4212\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-480{x}+4212$ |
| 76800.1-b1 |
76800.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{24} \cdot 5^{4} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$3.759529025$ |
$0.322619754$ |
2.801068710 |
\( \frac{2863288}{13286025} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -24 a\) , \( 3960\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}-24a{x}+3960$ |
| 76800.1-b2 |
76800.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{16} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.939882256$ |
$0.322619754$ |
2.801068710 |
\( \frac{26410345352}{10546875} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 496 a\) , \( -2204\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+496a{x}-2204$ |
| 76800.1-b3 |
76800.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{8} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1.879764512$ |
$0.645239508$ |
2.801068710 |
\( \frac{20034997696}{455625} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 226 a\) , \( 1360\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+226a{x}+1360$ |
| 76800.1-b4 |
76800.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{24} \cdot 3^{6} \cdot 5^{4} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$3.759529025$ |
$0.322619754$ |
2.801068710 |
\( \frac{1261112198464}{675} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 3601 a\) , \( 84385\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+3601a{x}+84385$ |
| 76800.1-c1 |
76800.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{8} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.517859761$ |
$1.386157776$ |
3.315539391 |
\( \frac{2863288}{1875} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 24\) , \( -24\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+24{x}-24$ |
| 76800.1-c2 |
76800.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{4} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1.035719522$ |
$2.772315553$ |
3.315539391 |
\( \frac{438976}{225} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -6\) , \( 0\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-6{x}$ |
| 76800.1-c3 |
76800.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{8} \cdot 5^{2} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.517859761$ |
$1.386157776$ |
3.315539391 |
\( \frac{38614472}{405} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -56\) , \( 180\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-56{x}+180$ |
| 76800.1-c4 |
76800.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{24} \cdot 3^{2} \cdot 5^{2} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$2.071439044$ |
$1.386157776$ |
3.315539391 |
\( \frac{14526784}{15} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -81\) , \( -255\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-81{x}-255$ |
| 76800.1-d1 |
76800.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{24} \cdot 3^{8} \cdot 5^{2} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.597161868$ |
$1.281966022$ |
3.535883459 |
\( \frac{85184}{405} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 15\) , \( -63\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+15{x}-63$ |
| 76800.1-d2 |
76800.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{8} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.597161868$ |
$1.281966022$ |
3.535883459 |
\( \frac{14172488}{1875} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -40\) , \( 100\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-40{x}+100$ |
| 76800.1-d3 |
76800.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{4} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1.194323736$ |
$2.563932044$ |
3.535883459 |
\( \frac{1906624}{225} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -10\) , \( -8\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-10{x}-8$ |
| 76800.1-d4 |
76800.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{2} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$2.388647473$ |
$1.281966022$ |
3.535883459 |
\( \frac{890277128}{15} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -160\) , \( -728\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-160{x}-728$ |
| 76800.1-e1 |
76800.1-e |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{2} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.436320782$ |
$3.917152045$ |
3.947077850 |
\( -\frac{130112}{15} a - 4992 \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -a + 5\) , \( 3 a\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-a+5\right){x}+3a$ |
| 76800.1-e2 |
76800.1-e |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{4} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.872641564$ |
$1.958576022$ |
3.947077850 |
\( -\frac{79496}{225} a - \frac{116344}{225} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -11 a + 5\) , \( 17 a - 22\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-11a+5\right){x}+17a-22$ |
| 76800.1-f1 |
76800.1-f |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{2} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.436320782$ |
$3.917152045$ |
3.947077850 |
\( \frac{130112}{15} a - \frac{204992}{15} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 4 a - 5\) , \( -3 a + 3\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(4a-5\right){x}-3a+3$ |
| 76800.1-f2 |
76800.1-f |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{4} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.872641564$ |
$1.958576022$ |
3.947077850 |
\( \frac{79496}{225} a - \frac{4352}{5} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -6 a - 5\) , \( -17 a - 5\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-6a-5\right){x}-17a-5$ |
| 76800.1-g1 |
76800.1-g |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{2} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.479151085$ |
$3.917152045$ |
4.334532562 |
\( -\frac{130112}{15} a - 4992 \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -4 a - 1\) , \( -3 a\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-4a-1\right){x}-3a$ |
| 76800.1-g2 |
76800.1-g |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{4} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.239575542$ |
$1.958576022$ |
4.334532562 |
\( -\frac{79496}{225} a - \frac{116344}{225} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 6 a - 11\) , \( -17 a + 22\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(6a-11\right){x}-17a+22$ |
| 76800.1-h1 |
76800.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{2} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.479151085$ |
$3.917152045$ |
4.334532562 |
\( \frac{130112}{15} a - \frac{204992}{15} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -5 a + 1\) , \( 3 a - 3\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-5a+1\right){x}+3a-3$ |
| 76800.1-h2 |
76800.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{4} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.239575542$ |
$1.958576022$ |
4.334532562 |
\( \frac{79496}{225} a - \frac{4352}{5} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -5 a + 11\) , \( 17 a + 5\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-5a+11\right){x}+17a+5$ |
| 76800.1-i1 |
76800.1-i |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{24} \cdot 3^{8} \cdot 5^{2} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$1.281966022$ |
2.960573712 |
\( \frac{85184}{405} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -15 a\) , \( 63\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}-15a{x}+63$ |
| 76800.1-i2 |
76800.1-i |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{8} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.281966022$ |
2.960573712 |
\( \frac{14172488}{1875} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 40 a\) , \( -100\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+40a{x}-100$ |
| 76800.1-i3 |
76800.1-i |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{4} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$2.563932044$ |
2.960573712 |
\( \frac{1906624}{225} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 10 a\) , \( 8\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+10a{x}+8$ |
| 76800.1-i4 |
76800.1-i |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{2} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.281966022$ |
2.960573712 |
\( \frac{890277128}{15} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 160 a\) , \( 728\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+160a{x}+728$ |
| 76800.1-j1 |
76800.1-j |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{8} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$1.386157776$ |
3.201194261 |
\( \frac{2863288}{1875} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -24 a\) , \( 24\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}-24a{x}+24$ |
| 76800.1-j2 |
76800.1-j |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{4} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$2.772315553$ |
3.201194261 |
\( \frac{438976}{225} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 6 a\) , \( 0\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+6a{x}$ |
| 76800.1-j3 |
76800.1-j |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{8} \cdot 5^{2} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.386157776$ |
3.201194261 |
\( \frac{38614472}{405} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 56 a\) , \( -180\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+56a{x}-180$ |
| 76800.1-j4 |
76800.1-j |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{24} \cdot 3^{2} \cdot 5^{2} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.386157776$ |
3.201194261 |
\( \frac{14526784}{15} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 81 a\) , \( 255\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+81a{x}+255$ |
| 76800.1-k1 |
76800.1-k |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{24} \cdot 3^{4} \cdot 5^{8} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.831404464$ |
3.840092732 |
\( \frac{85184}{5625} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -15 a\) , \( -225\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}-15a{x}-225$ |
| 76800.1-k2 |
76800.1-k |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{16} \cdot 5^{2} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.831404464$ |
3.840092732 |
\( \frac{111980168}{32805} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 80 a\) , \( 168\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+80a{x}+168$ |
| 76800.1-k3 |
76800.1-k |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{4} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$1.662808929$ |
3.840092732 |
\( \frac{48228544}{2025} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 30 a\) , \( -72\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+30a{x}-72$ |
| 76800.1-k4 |
76800.1-k |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{2} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$0.831404464$ |
3.840092732 |
\( \frac{23937672968}{45} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 480 a\) , \( -4212\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+480a{x}-4212$ |
| 76800.1-l1 |
76800.1-l |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{24} \cdot 5^{4} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \cdot 3 \) |
$1$ |
$0.322619754$ |
4.470350448 |
\( \frac{2863288}{13286025} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 24\) , \( -3960\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+24{x}-3960$ |
| 76800.1-l2 |
76800.1-l |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{16} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.322619754$ |
4.470350448 |
\( \frac{26410345352}{10546875} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -496\) , \( 2204\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-496{x}+2204$ |
| 76800.1-l3 |
76800.1-l |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{8} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.645239508$ |
4.470350448 |
\( \frac{20034997696}{455625} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -226\) , \( -1360\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-226{x}-1360$ |
| 76800.1-l4 |
76800.1-l |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
76800.1 |
\( 2^{10} \cdot 3 \cdot 5^{2} \) |
\( 2^{24} \cdot 3^{6} \cdot 5^{4} \) |
$2.57656$ |
$(-2a+1), (2), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$4$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.322619754$ |
4.470350448 |
\( \frac{1261112198464}{675} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -3601\) , \( -84385\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-3601{x}-84385$ |
*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.
