| 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-a4 |
108.2-a |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
108.2 |
\( 2^{2} \cdot 3^{3} \) |
\( 2^{8} \cdot 3^{10} \) |
$0.81478$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$2.976633872$ |
1.052398998 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 9\) , \( 5 a - 2\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+9{x}+5a-2$ |
| 108.3-a4 |
108.3-a |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
108.3 |
\( 2^{2} \cdot 3^{3} \) |
\( 2^{8} \cdot 3^{10} \) |
$0.81478$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2 \) |
$1$ |
$2.976633872$ |
1.052398998 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 4 a - 7\) , \( -11 a + 4\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(4a-7\right){x}-11a+4$ |
| 432.2-a4 |
432.2-a |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
432.2 |
\( 2^{4} \cdot 3^{3} \) |
\( 2^{8} \cdot 3^{10} \) |
$1.15227$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1$ |
$2.976633872$ |
1.052398998 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 9\) , \( -5 a + 2\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+9{x}-5a+2$ |
| 432.3-a4 |
432.3-a |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
432.3 |
\( 2^{4} \cdot 3^{3} \) |
\( 2^{8} \cdot 3^{10} \) |
$1.15227$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1$ |
$2.976633872$ |
1.052398998 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 4 a - 7\) , \( 11 a - 4\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(4a-7\right){x}+11a-4$ |
| 2304.2-c4 |
2304.2-c |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
2304.2 |
\( 2^{8} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{4} \) |
$1.75107$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 3 \) |
$0.509983650$ |
$5.155681103$ |
2.788807652 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -2 a - 2\) , \( a + 1\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(-2a-2\right){x}+a+1$ |
| 2304.2-e4 |
2304.2-e |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
2304.2 |
\( 2^{8} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{4} \) |
$1.75107$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 1 \) |
$1.529950951$ |
$5.155681103$ |
2.788807652 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -2 a - 2\) , \( -a - 1\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-2a-2\right){x}-a-1$ |
| 4356.4-a4 |
4356.4-a |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
4356.4 |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 11^{6} \) |
$2.05331$ |
$(a), (-a-1), (a-1), (a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2 \cdot 3 \) |
$0.720256386$ |
$1.554496341$ |
2.375106451 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -22 a + 15\) , \( 2 a + 74\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-22a+15\right){x}+2a+74$ |
| 4356.6-a4 |
4356.6-a |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
4356.6 |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 11^{6} \) |
$2.05331$ |
$(a), (-a-1), (a-1), (a-3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2 \) |
$2.160769160$ |
$1.554496341$ |
2.375106451 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -6 a - 33\) , \( 24 a + 84\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-6a-33\right){x}+24a+84$ |
| 9216.2-c4 |
9216.2-c |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
9216.2 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{14} \cdot 3^{4} \) |
$2.47639$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2 \) |
$1$ |
$3.645617069$ |
1.288920275 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 4 a + 3\) , \( -2 a - 7\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(4a+3\right){x}-2a-7$ |
| 9216.2-ba4 |
9216.2-ba |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
9216.2 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{14} \cdot 3^{4} \) |
$2.47639$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$3.645617069$ |
3.866760827 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4 a + 3\) , \( 2 a + 7\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(4a+3\right){x}+2a+7$ |
| 12996.4-c4 |
12996.4-c |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
12996.4 |
\( 2^{2} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 19^{6} \) |
$2.69858$ |
$(a), (-a-1), (a-1), (-3a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$1.182794363$ |
2.509085746 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 42 a - 2\) , \( 96 a + 147\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(42a-2\right){x}+96a+147$ |
| 12996.6-c4 |
12996.6-c |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
12996.6 |
\( 2^{2} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 19^{6} \) |
$2.69858$ |
$(a), (-a-1), (a-1), (3a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$1.182794363$ |
2.509085746 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 26 a + 46\) , \( -50 a + 137\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(26a+46\right){x}-50a+137$ |
| 17424.4-e4 |
17424.4-e |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
17424.4 |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 11^{6} \) |
$2.90383$ |
$(a), (-a-1), (a-1), (a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$1.554496341$ |
3.297584713 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -22 a + 15\) , \( -2 a - 74\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-22a+15\right){x}-2a-74$ |
| 17424.6-f4 |
17424.6-f |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
17424.6 |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 11^{6} \) |
$2.90383$ |
$(a), (-a-1), (a-1), (a-3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$1.554496341$ |
3.297584713 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -6 a - 33\) , \( -24 a - 84\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-6a-33\right){x}-24a-84$ |
| 20736.3-o4 |
20736.3-o |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20736.3 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{8} \cdot 3^{16} \) |
$3.03295$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.718560367$ |
2.430411379 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -18 a - 12\) , \( -41 a + 9\bigr] \) |
${y}^2={x}^{3}+\left(-18a-12\right){x}-41a+9$ |
| 20736.3-p4 |
20736.3-p |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20736.3 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{8} \cdot 3^{16} \) |
$3.03295$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.718560367$ |
2.430411379 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -18 a - 12\) , \( 41 a - 9\bigr] \) |
${y}^2={x}^{3}+\left(-18a-12\right){x}+41a-9$ |
| 27648.2-n4 |
27648.2-n |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
27648.2 |
\( 2^{10} \cdot 3^{3} \) |
\( 2^{14} \cdot 3^{10} \) |
$3.25911$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.104797996$ |
1.488316936 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 2 a - 19\) , \( -3 a - 39\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(2a-19\right){x}-3a-39$ |
| 27648.2-bh4 |
27648.2-bh |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
27648.2 |
\( 2^{10} \cdot 3^{3} \) |
\( 2^{14} \cdot 3^{10} \) |
$3.25911$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.339820636$ |
$2.104797996$ |
6.069129709 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 2 a - 19\) , \( 3 a + 39\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(2a-19\right){x}+3a+39$ |
| 27648.3-o4 |
27648.3-o |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
27648.3 |
\( 2^{10} \cdot 3^{3} \) |
\( 2^{14} \cdot 3^{10} \) |
$3.25911$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.104797996$ |
1.488316936 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -10 a + 13\) , \( -17 a - 31\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-10a+13\right){x}-17a-31$ |
| 27648.3-bi4 |
27648.3-bi |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
27648.3 |
\( 2^{10} \cdot 3^{3} \) |
\( 2^{14} \cdot 3^{10} \) |
$3.25911$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1.019461910$ |
$2.104797996$ |
6.069129709 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -10 a + 13\) , \( 17 a + 31\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-10a+13\right){x}+17a+31$ |
| 31212.4-f4 |
31212.4-f |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
31212.4 |
\( 2^{2} \cdot 3^{3} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 17^{6} \) |
$3.35942$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.721939756$ |
3.062930986 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -112 a - 7\) , \( -369 a + 468\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-112a-7\right){x}-369a+468$ |
| 31212.6-c4 |
31212.6-c |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
31212.6 |
\( 2^{2} \cdot 3^{3} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 17^{6} \) |
$3.35942$ |
$(a), (-a-1), (a-1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$4.083044597$ |
$0.721939756$ |
4.168694604 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 112 a + 25\) , \( -259 a - 730\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(112a+25\right){x}-259a-730$ |
| 31212.7-c4 |
31212.7-c |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
31212.7 |
\( 2^{2} \cdot 3^{3} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 17^{6} \) |
$3.35942$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1.361014865$ |
$0.721939756$ |
4.168694604 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 84 a + 105\) , \( 141 a - 672\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(84a+105\right){x}+141a-672$ |
| 31212.9-e4 |
31212.9-e |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
31212.9 |
\( 2^{2} \cdot 3^{3} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 17^{6} \) |
$3.35942$ |
$(a), (-a-1), (a-1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.721939756$ |
3.062930986 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -76 a - 119\) , \( 491 a + 430\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-76a-119\right){x}+491a+430$ |
| 39204.7-e4 |
39204.7-e |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
39204.7 |
\( 2^{2} \cdot 3^{4} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{16} \cdot 11^{6} \) |
$3.55645$ |
$(a), (-a-1), (a-1), (a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \) |
$0.894713706$ |
$0.518165447$ |
5.245145317 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -198 a + 132\) , \( 144 a - 2131\bigr] \) |
${y}^2={x}^{3}+\left(-198a+132\right){x}+144a-2131$ |
| 39204.9-c4 |
39204.9-c |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
39204.9 |
\( 2^{2} \cdot 3^{4} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{16} \cdot 11^{6} \) |
$3.55645$ |
$(a), (-a-1), (a-1), (a-3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \cdot 3 \) |
$0.298237902$ |
$0.518165447$ |
5.245145317 |
\( \frac{372736}{27} a - \frac{352256}{27} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -54 a - 300\) , \( -594 a - 1969\bigr] \) |
${y}^2={x}^{3}+\left(-54a-300\right){x}-594a-1969$ |
*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.
