| 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 |
| 108.2-a6 |
108.2-a |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
108.2 |
\( 2^{2} \cdot 3^{3} \) |
\( 2^{4} \cdot 3^{14} \) |
$0.81478$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B.1.2 |
$1$ |
\( 2^{3} \) |
$1$ |
$2.976633872$ |
1.052398998 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -4 a - 1\) , \( a - 7\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-4a-1\right){x}+a-7$ |
| 108.3-a6 |
108.3-a |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
108.3 |
\( 2^{2} \cdot 3^{3} \) |
\( 2^{4} \cdot 3^{14} \) |
$0.81478$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B.1.1 |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$2.976633872$ |
1.052398998 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[a\) , \( a + 1\) , \( a\) , \( 3 a + 4\) , \( 2 a + 4\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(3a+4\right){x}+2a+4$ |
| 432.2-a6 |
432.2-a |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
432.2 |
\( 2^{4} \cdot 3^{3} \) |
\( 2^{4} \cdot 3^{14} \) |
$1.15227$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{3} \) |
$1$ |
$2.976633872$ |
1.052398998 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[a\) , \( a\) , \( 0\) , \( -4 a - 1\) , \( -a + 7\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-4a-1\right){x}-a+7$ |
| 432.3-a6 |
432.3-a |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
432.3 |
\( 2^{4} \cdot 3^{3} \) |
\( 2^{4} \cdot 3^{14} \) |
$1.15227$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{3} \) |
$1$ |
$2.976633872$ |
1.052398998 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[a\) , \( -a\) , \( a\) , \( 3 a + 4\) , \( -2 a - 3\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(3a+4\right){x}-2a-3$ |
| 2304.2-c6 |
2304.2-c |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
2304.2 |
\( 2^{8} \cdot 3^{2} \) |
\( 2^{16} \cdot 3^{8} \) |
$1.75107$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{4} \) |
$0.764975475$ |
$2.577840551$ |
2.788807652 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 2 a - 7\) , \( -3 a + 6\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(2a-7\right){x}-3a+6$ |
| 2304.2-e6 |
2304.2-e |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
2304.2 |
\( 2^{8} \cdot 3^{2} \) |
\( 2^{16} \cdot 3^{8} \) |
$1.75107$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$0.254991825$ |
$2.577840551$ |
2.788807652 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 2 a - 7\) , \( 3 a - 6\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(2a-7\right){x}+3a-6$ |
| 4356.4-a6 |
4356.4-a |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
4356.4 |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 11^{6} \) |
$2.05331$ |
$(a), (-a-1), (a-1), (a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{4} \) |
$1.080384580$ |
$1.554496341$ |
2.375106451 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -6 a - 16\) , \( 21 a + 11\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-6a-16\right){x}+21a+11$ |
| 4356.6-a6 |
4356.6-a |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
4356.6 |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 11^{6} \) |
$2.05331$ |
$(a), (-a-1), (a-1), (a-3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$0.360128193$ |
$1.554496341$ |
2.375106451 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 13 a - 5\) , \( 26 a - 4\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(13a-5\right){x}+26a-4$ |
| 9216.2-c6 |
9216.2-c |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
9216.2 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{22} \cdot 3^{8} \) |
$2.47639$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{4} \) |
$1$ |
$1.822808534$ |
1.288920275 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -4 a + 13\) , \( 16 a - 1\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-4a+13\right){x}+16a-1$ |
| 9216.2-ba6 |
9216.2-ba |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
9216.2 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{22} \cdot 3^{8} \) |
$2.47639$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$1.822808534$ |
3.866760827 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -4 a + 13\) , \( -16 a + 1\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-4a+13\right){x}-16a+1$ |
| 12996.4-c6 |
12996.4-c |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
12996.4 |
\( 2^{2} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 19^{6} \) |
$2.69858$ |
$(a), (-a-1), (a-1), (-3a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$1.182794363$ |
2.509085746 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 2 a + 33\) , \( 35 a - 55\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(2a+33\right){x}+35a-55$ |
| 12996.6-c6 |
12996.6-c |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
12996.6 |
\( 2^{2} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 19^{6} \) |
$2.69858$ |
$(a), (-a-1), (a-1), (3a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$1.182794363$ |
2.509085746 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( -19 a + 22\) , \( 52 a + 60\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-19a+22\right){x}+52a+60$ |
| 17424.4-e6 |
17424.4-e |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
17424.4 |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 11^{6} \) |
$2.90383$ |
$(a), (-a-1), (a-1), (a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$1.554496341$ |
3.297584713 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -6 a - 16\) , \( -21 a - 10\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-6a-16\right){x}-21a-10$ |
| 17424.6-f6 |
17424.6-f |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
17424.6 |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 11^{6} \) |
$2.90383$ |
$(a), (-a-1), (a-1), (a-3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$1.554496341$ |
3.297584713 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 13 a - 5\) , \( -26 a + 4\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(13a-5\right){x}-26a+4$ |
| 20736.3-o6 |
20736.3-o |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20736.3 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{16} \cdot 3^{20} \) |
$3.03295$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.859280183$ |
2.430411379 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 18 a - 57\) , \( 22 a - 198\bigr] \) |
${y}^2={x}^{3}+\left(18a-57\right){x}+22a-198$ |
| 20736.3-p6 |
20736.3-p |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20736.3 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{16} \cdot 3^{20} \) |
$3.03295$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.859280183$ |
2.430411379 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 18 a - 57\) , \( -22 a + 198\bigr] \) |
${y}^2={x}^{3}+\left(18a-57\right){x}-22a+198$ |
| 27648.2-n6 |
27648.2-n |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
27648.2 |
\( 2^{10} \cdot 3^{3} \) |
\( 2^{22} \cdot 3^{14} \) |
$3.25911$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{5} \) |
$1$ |
$1.052398998$ |
1.488316936 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 30 a + 3\) , \( 81 a + 27\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(30a+3\right){x}+81a+27$ |
| 27648.2-bh6 |
27648.2-bh |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
27648.2 |
\( 2^{10} \cdot 3^{3} \) |
\( 2^{22} \cdot 3^{14} \) |
$3.25911$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{5} \) |
$2.038923820$ |
$1.052398998$ |
6.069129709 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 30 a + 3\) , \( -81 a - 27\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(30a+3\right){x}-81a-27$ |
| 27648.3-o6 |
27648.3-o |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
27648.3 |
\( 2^{10} \cdot 3^{3} \) |
\( 2^{22} \cdot 3^{14} \) |
$3.25911$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{5} \) |
$1$ |
$1.052398998$ |
1.488316936 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -22 a - 29\) , \( 79 a - 37\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-22a-29\right){x}+79a-37$ |
| 27648.3-bi6 |
27648.3-bi |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
27648.3 |
\( 2^{10} \cdot 3^{3} \) |
\( 2^{22} \cdot 3^{14} \) |
$3.25911$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{5} \cdot 3 \) |
$0.679641273$ |
$1.052398998$ |
6.069129709 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -22 a - 29\) , \( -79 a + 37\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-22a-29\right){x}-79a+37$ |
| 31212.4-f6 |
31212.4-f |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
31212.4 |
\( 2^{2} \cdot 3^{3} \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{14} \cdot 17^{6} \) |
$3.35942$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.721939756$ |
3.062930986 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( a - 88\) , \( 132 a + 292\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(a-88\right){x}+132a+292$ |
| 31212.6-c6 |
31212.6-c |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
31212.6 |
\( 2^{2} \cdot 3^{3} \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{14} \cdot 17^{6} \) |
$3.35942$ |
$(a), (-a-1), (a-1), (2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{5} \cdot 3 \) |
$0.680507432$ |
$0.721939756$ |
4.168694604 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[a\) , \( a\) , \( 0\) , \( -9 a + 87\) , \( -200 a + 80\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-9a+87\right){x}-200a+80$ |
| 31212.7-c6 |
31212.7-c |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
31212.7 |
\( 2^{2} \cdot 3^{3} \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{14} \cdot 17^{6} \) |
$3.35942$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{5} \) |
$2.041522298$ |
$0.721939756$ |
4.168694604 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[a\) , \( -a\) , \( a\) , \( -40 a + 68\) , \( -216 a - 222\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-40a+68\right){x}-216a-222$ |
| 31212.9-e6 |
31212.9-e |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
31212.9 |
\( 2^{2} \cdot 3^{3} \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{14} \cdot 17^{6} \) |
$3.35942$ |
$(a), (-a-1), (a-1), (2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.721939756$ |
3.062930986 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[a\) , \( a + 1\) , \( 0\) , \( 46 a - 61\) , \( 151 a - 287\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(46a-61\right){x}+151a-287$ |
| 39204.7-e6 |
39204.7-e |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
39204.7 |
\( 2^{2} \cdot 3^{4} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{20} \cdot 11^{6} \) |
$3.55645$ |
$(a), (-a-1), (a-1), (a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{6} \cdot 3 \) |
$0.596475804$ |
$0.518165447$ |
5.245145317 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -54 a - 152\) , \( -567 a - 283\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-54a-152\right){x}-567a-283$ |
| 39204.9-c6 |
39204.9-c |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
39204.9 |
\( 2^{2} \cdot 3^{4} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{20} \cdot 11^{6} \) |
$3.55645$ |
$(a), (-a-1), (a-1), (a-3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{6} \) |
$1.789427412$ |
$0.518165447$ |
5.245145317 |
\( \frac{855712}{729} a + \frac{467888}{729} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 117 a - 45\) , \( -702 a + 108\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+\left(117a-45\right){x}-702a+108$ |
*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.
