| 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 |
| 36864.2-a1 |
36864.2-a |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{3} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.295298408$ |
$3.510401436$ |
5.863985383 |
\( -\frac{1664}{9} a - \frac{31168}{9} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 2 a - 3\) , \( 2 a - 1\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(2a-3\right){x}+2a-1$ |
| 36864.2-a2 |
36864.2-a |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{3} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.295298408$ |
$3.510401436$ |
5.863985383 |
\( \frac{1664}{9} a - \frac{31168}{9} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -2 a - 3\) , \( -2 a - 1\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-2a-3\right){x}-2a-1$ |
| 36864.2-b1 |
36864.2-b |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{7} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$3.673659942$ |
1.298834928 |
\( \frac{40192}{729} a - \frac{59968}{729} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -a\) , \( -a + 2\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-a{x}-a+2$ |
| 36864.2-b2 |
36864.2-b |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{5} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$3.673659942$ |
1.298834928 |
\( \frac{577792}{27} a + \frac{35648}{27} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( a - 6\) , \( a - 4\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(a-6\right){x}+a-4$ |
| 36864.2-c1 |
36864.2-c |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{7} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$3.673659942$ |
1.298834928 |
\( -\frac{40192}{729} a - \frac{59968}{729} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( a\) , \( a + 2\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+a{x}+a+2$ |
| 36864.2-c2 |
36864.2-c |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{5} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$3.673659942$ |
1.298834928 |
\( -\frac{577792}{27} a + \frac{35648}{27} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -a - 6\) , \( -a - 4\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-a-6\right){x}-a-4$ |
| 36864.2-d1 |
36864.2-d |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{15} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.223268706$ |
1.729963195 |
\( -\frac{27353216}{59049} a + \frac{95630912}{59049} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -22 a - 3\) , \( -22 a - 1\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-22a-3\right){x}-22a-1$ |
| 36864.2-d2 |
36864.2-d |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{15} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.223268706$ |
1.729963195 |
\( \frac{27353216}{59049} a + \frac{95630912}{59049} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 22 a - 3\) , \( 22 a - 1\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(22a-3\right){x}+22a-1$ |
| 36864.2-e1 |
36864.2-e |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{7} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.220727487$ |
$2.597669857$ |
4.484537669 |
\( \frac{40192}{729} a - \frac{59968}{729} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 2 a\) , \( 4 a + 4\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+2a{x}+4a+4$ |
| 36864.2-e2 |
36864.2-e |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{5} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.610363743$ |
$2.597669857$ |
4.484537669 |
\( \frac{577792}{27} a + \frac{35648}{27} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -2 a + 12\) , \( -8 a - 4\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(-2a+12\right){x}-8a-4$ |
| 36864.2-f1 |
36864.2-f |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{3} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$4.964457321$ |
1.755200718 |
\( -\frac{1664}{9} a - \frac{31168}{9} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -a + 1\) , \( a + 2\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(-a+1\right){x}+a+2$ |
| 36864.2-f2 |
36864.2-f |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{3} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$4.964457321$ |
1.755200718 |
\( \frac{1664}{9} a - \frac{31168}{9} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( a + 1\) , \( a - 2\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(a+1\right){x}+a-2$ |
| 36864.2-g1 |
36864.2-g |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{15} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$1.729963195$ |
3.058171766 |
\( -\frac{27353216}{59049} a + \frac{95630912}{59049} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 11 a + 1\) , \( a - 22\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(11a+1\right){x}+a-22$ |
| 36864.2-g2 |
36864.2-g |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{15} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$1.729963195$ |
3.058171766 |
\( \frac{27353216}{59049} a + \frac{95630912}{59049} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -11 a + 1\) , \( a + 22\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(-11a+1\right){x}+a+22$ |
| 36864.2-h1 |
36864.2-h |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{7} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.524331511$ |
$2.597669857$ |
5.778647014 |
\( -\frac{40192}{729} a - \frac{59968}{729} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -2 a\) , \( 4 a - 4\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}-2a{x}+4a-4$ |
| 36864.2-h2 |
36864.2-h |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{5} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.262165755$ |
$2.597669857$ |
5.778647014 |
\( -\frac{577792}{27} a + \frac{35648}{27} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 2 a + 12\) , \( -8 a + 4\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(2a+12\right){x}-8a+4$ |
| 36864.2-i1 |
36864.2-i |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{7} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.220727487$ |
$2.597669857$ |
4.484537669 |
\( -\frac{40192}{729} a - \frac{59968}{729} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -2 a\) , \( -4 a + 4\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}-2a{x}-4a+4$ |
| 36864.2-i2 |
36864.2-i |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{5} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.610363743$ |
$2.597669857$ |
4.484537669 |
\( -\frac{577792}{27} a + \frac{35648}{27} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 2 a + 12\) , \( 8 a - 4\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(2a+12\right){x}+8a-4$ |
| 36864.2-j1 |
36864.2-j |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{15} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$1.729963195$ |
3.058171766 |
\( -\frac{27353216}{59049} a + \frac{95630912}{59049} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 11 a + 1\) , \( -a + 22\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(11a+1\right){x}-a+22$ |
| 36864.2-j2 |
36864.2-j |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{15} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$1.729963195$ |
3.058171766 |
\( \frac{27353216}{59049} a + \frac{95630912}{59049} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -11 a + 1\) , \( -a - 22\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-11a+1\right){x}-a-22$ |
| 36864.2-k1 |
36864.2-k |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{3} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$4.964457321$ |
1.755200718 |
\( -\frac{1664}{9} a - \frac{31168}{9} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -a + 1\) , \( -a - 2\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-a+1\right){x}-a-2$ |
| 36864.2-k2 |
36864.2-k |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{3} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$4.964457321$ |
1.755200718 |
\( \frac{1664}{9} a - \frac{31168}{9} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( a + 1\) , \( -a + 2\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(a+1\right){x}-a+2$ |
| 36864.2-l1 |
36864.2-l |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{7} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.524331511$ |
$2.597669857$ |
5.778647014 |
\( \frac{40192}{729} a - \frac{59968}{729} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 2 a\) , \( -4 a - 4\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+2a{x}-4a-4$ |
| 36864.2-l2 |
36864.2-l |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{5} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.262165755$ |
$2.597669857$ |
5.778647014 |
\( \frac{577792}{27} a + \frac{35648}{27} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -2 a + 12\) , \( 8 a + 4\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-2a+12\right){x}+8a+4$ |
| 36864.2-m1 |
36864.2-m |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{15} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 5^{2} \) |
$0.056789167$ |
$1.223268706$ |
9.824316922 |
\( -\frac{27353216}{59049} a + \frac{95630912}{59049} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -22 a - 3\) , \( 22 a + 1\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-22a-3\right){x}+22a+1$ |
| 36864.2-m2 |
36864.2-m |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{15} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 5^{2} \) |
$0.056789167$ |
$1.223268706$ |
9.824316922 |
\( \frac{27353216}{59049} a + \frac{95630912}{59049} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 22 a - 3\) , \( -22 a + 1\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(22a-3\right){x}-22a+1$ |
| 36864.2-n1 |
36864.2-n |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{7} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$3.673659942$ |
3.896504785 |
\( -\frac{40192}{729} a - \frac{59968}{729} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( a\) , \( -a - 2\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+a{x}-a-2$ |
| 36864.2-n2 |
36864.2-n |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{5} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$3.673659942$ |
3.896504785 |
\( -\frac{577792}{27} a + \frac{35648}{27} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -a - 6\) , \( a + 4\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-a-6\right){x}+a+4$ |
| 36864.2-o1 |
36864.2-o |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{7} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$3.673659942$ |
3.896504785 |
\( \frac{40192}{729} a - \frac{59968}{729} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -a\) , \( a - 2\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-a{x}+a-2$ |
| 36864.2-o2 |
36864.2-o |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{5} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$3.673659942$ |
3.896504785 |
\( \frac{577792}{27} a + \frac{35648}{27} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( a - 6\) , \( -a + 4\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(a-6\right){x}-a+4$ |
| 36864.2-p1 |
36864.2-p |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{3} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$3.510401436$ |
4.964457321 |
\( -\frac{1664}{9} a - \frac{31168}{9} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 2 a - 3\) , \( -2 a + 1\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(2a-3\right){x}-2a+1$ |
| 36864.2-p2 |
36864.2-p |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{3} \) |
$3.50215$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$3.510401436$ |
4.964457321 |
\( \frac{1664}{9} a - \frac{31168}{9} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -2 a - 3\) , \( 2 a + 1\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-2a-3\right){x}+2a+1$ |
*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.
