| 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-a7 |
108.2-a |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
108.2 |
\( 2^{2} \cdot 3^{3} \) |
\( 2^{8} \cdot 3^{19} \) |
$0.81478$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{2} \) |
$1$ |
$1.488316936$ |
1.052398998 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 11 a + 14\) , \( 16 a - 19\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(11a+14\right){x}+16a-19$ |
| 108.3-a7 |
108.3-a |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
108.3 |
\( 2^{2} \cdot 3^{3} \) |
\( 2^{8} \cdot 3^{19} \) |
$0.81478$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/12\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$1$ |
$1.488316936$ |
1.052398998 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[a\) , \( a + 1\) , \( a\) , \( -2 a - 21\) , \( -13 a + 37\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-2a-21\right){x}-13a+37$ |
| 432.2-a7 |
432.2-a |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
432.2 |
\( 2^{4} \cdot 3^{3} \) |
\( 2^{8} \cdot 3^{19} \) |
$1.15227$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.488316936$ |
1.052398998 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[a\) , \( a\) , \( 0\) , \( 11 a + 14\) , \( -16 a + 19\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(11a+14\right){x}-16a+19$ |
| 432.3-a7 |
432.3-a |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
432.3 |
\( 2^{4} \cdot 3^{3} \) |
\( 2^{8} \cdot 3^{19} \) |
$1.15227$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.488316936$ |
1.052398998 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[a\) , \( -a\) , \( a\) , \( -2 a - 21\) , \( 13 a - 36\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-2a-21\right){x}+13a-36$ |
| 2304.2-c7 |
2304.2-c |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
2304.2 |
\( 2^{8} \cdot 3^{2} \) |
\( 2^{20} \cdot 3^{13} \) |
$1.75107$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$1.529950951$ |
$1.288920275$ |
2.788807652 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -18 a + 13\) , \( -15 a + 66\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(-18a+13\right){x}-15a+66$ |
| 2304.2-e7 |
2304.2-e |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
2304.2 |
\( 2^{8} \cdot 3^{2} \) |
\( 2^{20} \cdot 3^{13} \) |
$1.75107$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$0.509983650$ |
$1.288920275$ |
2.788807652 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -18 a + 13\) , \( 15 a - 66\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-18a+13\right){x}+15a-66$ |
| 4356.4-a7 |
4356.4-a |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
4356.4 |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{13} \cdot 11^{6} \) |
$2.05331$ |
$(a), (-a-1), (a-1), (a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$2.160769160$ |
$0.777248170$ |
2.375106451 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -11 a + 79\) , \( 145 a + 196\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-11a+79\right){x}+145a+196$ |
| 4356.6-a7 |
4356.6-a |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
4356.6 |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{13} \cdot 11^{6} \) |
$2.05331$ |
$(a), (-a-1), (a-1), (a-3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.720256386$ |
$0.777248170$ |
2.375106451 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -52 a - 30\) , \( 182 a + 56\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(-52a-30\right){x}+182a+56$ |
| 9216.2-c7 |
9216.2-c |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
9216.2 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{26} \cdot 3^{13} \) |
$2.47639$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.911404267$ |
1.288920275 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 36 a - 27\) , \( 96 a + 87\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(36a-27\right){x}+96a+87$ |
| 9216.2-ba7 |
9216.2-ba |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
9216.2 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{26} \cdot 3^{13} \) |
$2.47639$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.911404267$ |
3.866760827 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 36 a - 27\) , \( -96 a - 87\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(36a-27\right){x}-96a-87$ |
| 12996.4-c7 |
12996.4-c |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
12996.4 |
\( 2^{2} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{13} \cdot 19^{6} \) |
$2.69858$ |
$(a), (-a-1), (a-1), (-3a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.591397181$ |
2.509085746 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 57 a - 112\) , \( 442 a - 45\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(57a-112\right){x}+442a-45$ |
| 12996.6-c7 |
12996.6-c |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
12996.6 |
\( 2^{2} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{13} \cdot 19^{6} \) |
$2.69858$ |
$(a), (-a-1), (a-1), (3a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.591397181$ |
2.509085746 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( 96 a - 3\) , \( 125 a + 515\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(96a-3\right){x}+125a+515$ |
| 17424.4-e7 |
17424.4-e |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
17424.4 |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{13} \cdot 11^{6} \) |
$2.90383$ |
$(a), (-a-1), (a-1), (a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.777248170$ |
3.297584713 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -11 a + 79\) , \( -145 a - 195\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-11a+79\right){x}-145a-195$ |
| 17424.6-f7 |
17424.6-f |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
17424.6 |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{13} \cdot 11^{6} \) |
$2.90383$ |
$(a), (-a-1), (a-1), (a-3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.777248170$ |
3.297584713 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( -52 a - 30\) , \( -182 a - 56\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-52a-30\right){x}-182a-56$ |
| 20736.3-o7 |
20736.3-o |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20736.3 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{20} \cdot 3^{25} \) |
$3.03295$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.429640091$ |
2.430411379 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -162 a + 123\) , \( 526 a - 1458\bigr] \) |
${y}^2={x}^{3}+\left(-162a+123\right){x}+526a-1458$ |
| 20736.3-p7 |
20736.3-p |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20736.3 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{20} \cdot 3^{25} \) |
$3.03295$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.429640091$ |
2.430411379 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -162 a + 123\) , \( -526 a + 1458\bigr] \) |
${y}^2={x}^{3}+\left(-162a+123\right){x}-526a+1458$ |
| 27648.2-n7 |
27648.2-n |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
27648.2 |
\( 2^{10} \cdot 3^{3} \) |
\( 2^{26} \cdot 3^{19} \) |
$3.25911$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.526199499$ |
1.488316936 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -90 a - 117\) , \( 393 a + 627\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-90a-117\right){x}+393a+627$ |
| 27648.2-bh7 |
27648.2-bh |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
27648.2 |
\( 2^{10} \cdot 3^{3} \) |
\( 2^{26} \cdot 3^{19} \) |
$3.25911$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$4.077847641$ |
$0.526199499$ |
6.069129709 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -90 a - 117\) , \( -393 a - 627\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-90a-117\right){x}-393a-627$ |
| 27648.3-o7 |
27648.3-o |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
27648.3 |
\( 2^{10} \cdot 3^{3} \) |
\( 2^{26} \cdot 3^{19} \) |
$3.25911$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.526199499$ |
1.488316936 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 18 a + 171\) , \( 567 a + 243\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(18a+171\right){x}+567a+243$ |
| 27648.3-bi7 |
27648.3-bi |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
27648.3 |
\( 2^{10} \cdot 3^{3} \) |
\( 2^{26} \cdot 3^{19} \) |
$3.25911$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \cdot 3 \) |
$0.339820636$ |
$0.526199499$ |
6.069129709 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 18 a + 171\) , \( -567 a - 243\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(18a+171\right){x}-567a-243$ |
| 31212.4-f7 |
31212.4-f |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
31212.4 |
\( 2^{2} \cdot 3^{3} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{19} \cdot 17^{6} \) |
$3.35942$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.360969878$ |
3.062930986 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( -164 a + 287\) , \( 123 a + 2677\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-164a+287\right){x}+123a+2677$ |
| 31212.6-c7 |
31212.6-c |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
31212.6 |
\( 2^{2} \cdot 3^{3} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{19} \cdot 17^{6} \) |
$3.35942$ |
$(a), (-a-1), (a-1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1.361014865$ |
$0.360969878$ |
4.168694604 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[a\) , \( a\) , \( 0\) , \( 186 a - 258\) , \( -2066 a - 220\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(186a-258\right){x}-2066a-220$ |
| 31212.7-c7 |
31212.7-c |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
31212.7 |
\( 2^{2} \cdot 3^{3} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{19} \cdot 17^{6} \) |
$3.35942$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \) |
$1.020761149$ |
$0.360969878$ |
4.168694604 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[a\) , \( -a\) , \( a\) , \( 255 a - 77\) , \( -1240 a - 1967\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(255a-77\right){x}-1240a-1967$ |
| 31212.9-e7 |
31212.9-e |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
31212.9 |
\( 2^{2} \cdot 3^{3} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{19} \cdot 17^{6} \) |
$3.35942$ |
$(a), (-a-1), (a-1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.360969878$ |
3.062930986 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[a\) , \( a + 1\) , \( 0\) , \( -259 a + 34\) , \( 1680 a - 1147\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-259a+34\right){x}+1680a-1147$ |
| 39204.7-e7 |
39204.7-e |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
39204.7 |
\( 2^{2} \cdot 3^{4} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{25} \cdot 11^{6} \) |
$3.55645$ |
$(a), (-a-1), (a-1), (a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1.192951608$ |
$0.259082723$ |
5.245145317 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -99 a + 703\) , \( -3915 a - 5278\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-99a+703\right){x}-3915a-5278$ |
| 39204.9-c7 |
39204.9-c |
$8$ |
$12$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
39204.9 |
\( 2^{2} \cdot 3^{4} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{25} \cdot 11^{6} \) |
$3.55645$ |
$(a), (-a-1), (a-1), (a-3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$3.578854825$ |
$0.259082723$ |
5.245145317 |
\( -\frac{715706108}{531441} a + \frac{421307996}{531441} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -468 a - 270\) , \( -4914 a - 1512\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+\left(-468a-270\right){x}-4914a-1512$ |
*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.
