| 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 |
| 7056.2-a1 |
7056.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{16} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
$2$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1.456000324$ |
$0.431038464$ |
3.550197289 |
\( -\frac{4354703137}{17294403} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -136\) , \( -1736\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-136{x}-1736$ |
| 7056.2-a2 |
7056.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 7^{2} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.091000020$ |
$3.448307718$ |
3.550197289 |
\( \frac{103823}{63} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 4\) , \( 0\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+4{x}$ |
| 7056.2-a3 |
7056.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 7^{4} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.364000081$ |
$1.724153859$ |
3.550197289 |
\( \frac{7189057}{3969} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -16\) , \( -8\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-16{x}-8$ |
| 7056.2-a4 |
7056.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{16} \cdot 7^{2} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.364000081$ |
$0.862076929$ |
3.550197289 |
\( \frac{6570725617}{45927} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -156\) , \( 720\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-156{x}+720$ |
| 7056.2-a5 |
7056.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 7^{8} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
$2$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1.456000324$ |
$0.862076929$ |
3.550197289 |
\( \frac{13027640977}{21609} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -196\) , \( -1088\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-196{x}-1088$ |
| 7056.2-a6 |
7056.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{4} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
$2$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$5.824001297$ |
$0.431038464$ |
3.550197289 |
\( \frac{53297461115137}{147} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -3136\) , \( -68120\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-3136{x}-68120$ |
| 7056.2-b1 |
7056.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{8} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$2.066193945$ |
$1.972356834$ |
2.881652289 |
\( \frac{11696828}{7203} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 12\) , \( 6\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+12{x}+6$ |
| 7056.2-b2 |
7056.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 7^{4} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1.033096972$ |
$3.944713669$ |
2.881652289 |
\( \frac{810448}{441} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -3\) , \( 0\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-3{x}$ |
| 7056.2-b3 |
7056.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 1 \) |
$2.066193945$ |
$3.944713669$ |
2.881652289 |
\( \frac{2725888}{21} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -7\) , \( 10\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-7{x}+10$ |
| 7056.2-b4 |
7056.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 7^{2} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.516548486$ |
$1.972356834$ |
2.881652289 |
\( \frac{381775972}{567} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -38\) , \( 84\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-38{x}+84$ |
| 7056.2-c1 |
7056.2-c |
$4$ |
$6$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{12} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.872431843$ |
1.850707417 |
\( -\frac{10061824000}{352947} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -113\) , \( 516\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-113{x}+516$ |
| 7056.2-c2 |
7056.2-c |
$4$ |
$6$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 7^{4} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.617295530$ |
1.850707417 |
\( \frac{2048000}{1323} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 7\) , \( 0\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+7{x}$ |
| 7056.2-c3 |
7056.2-c |
$4$ |
$6$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{12} \cdot 7^{2} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.617295530$ |
1.850707417 |
\( \frac{9826000}{5103} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -6\) , \( -3\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-6{x}-3$ |
| 7056.2-c4 |
7056.2-c |
$4$ |
$6$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 7^{6} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.872431843$ |
1.850707417 |
\( \frac{2640279346000}{3087} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -456\) , \( -3837\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-456{x}-3837$ |
| 7056.2-d1 |
7056.2-d |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{4} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$3.823324891$ |
2.703498957 |
\( -\frac{16384}{147} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -1\) , \( 2\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-{x}+2$ |
| 7056.2-d2 |
7056.2-d |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 7^{2} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$3.823324891$ |
2.703498957 |
\( \frac{20720464}{63} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( -9\) , \( -9\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-9{x}-9$ |
| 7056.2-e1 |
7056.2-e |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 7^{8} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$0.290208420$ |
$1.390851865$ |
5.137459300 |
\( -\frac{2725888}{64827} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -7\) , \( -52\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-7{x}-52$ |
| 7056.2-e2 |
7056.2-e |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{24} \cdot 7^{2} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \cdot 3^{2} \) |
$0.290208420$ |
$0.695425932$ |
5.137459300 |
\( \frac{6522128932}{3720087} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -97\) , \( -28\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-97{x}-28$ |
| 7056.2-e3 |
7056.2-e |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{12} \cdot 7^{4} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$0.580416841$ |
$1.390851865$ |
5.137459300 |
\( \frac{6940769488}{35721} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -62\) , \( 203\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-62{x}+203$ |
| 7056.2-e4 |
7056.2-e |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 7^{2} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2 \cdot 3^{2} \) |
$1.160833682$ |
$0.695425932$ |
5.137459300 |
\( \frac{7080974546692}{189} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -1007\) , \( 12488\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-1007{x}+12488$ |
| 7056.2-f1 |
7056.2-f |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{28} \cdot 3^{4} \cdot 7^{2} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$1.370183666$ |
3.875464647 |
\( -\frac{7189057}{16128} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -15\) , \( 58\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-15{x}+58$ |
| 7056.2-f2 |
7056.2-f |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{32} \cdot 7^{4} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{11} \) |
$1$ |
$0.171272958$ |
3.875464647 |
\( \frac{6359387729183}{4218578658} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( 1545\) , \( 8674\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+1545{x}+8674$ |
| 7056.2-f3 |
7056.2-f |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{16} \cdot 7^{8} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{10} \) |
$1$ |
$0.342545916$ |
3.875464647 |
\( \frac{124475734657}{63011844} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -415\) , \( 1226\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-415{x}+1226$ |
| 7056.2-f4 |
7056.2-f |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{8} \cdot 7^{16} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$4$ |
\( 2^{9} \) |
$1$ |
$0.171272958$ |
3.875464647 |
\( \frac{84448510979617}{933897762} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -3655\) , \( -83662\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-3655{x}-83662$ |
| 7056.2-f5 |
7056.2-f |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{13} \cdot 3^{40} \cdot 7^{2} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{10} \) |
$1$ |
$0.085636479$ |
3.875464647 |
\( -\frac{4649899211841477010577}{25942282643925774} a + \frac{175460189537451816680}{1853020188851841} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -2380 a + 17225\) , \( 605612 a + 254850\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-2380a+17225\right){x}+605612a+254850$ |
| 7056.2-f6 |
7056.2-f |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{13} \cdot 3^{40} \cdot 7^{2} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{10} \) |
$1$ |
$0.085636479$ |
3.875464647 |
\( \frac{4649899211841477010577}{25942282643925774} a + \frac{175460189537451816680}{1853020188851841} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( 2380 a + 17225\) , \( -605612 a + 254850\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(2380a+17225\right){x}-605612a+254850$ |
| 7056.2-f7 |
7056.2-f |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{8} \cdot 7^{4} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1$ |
$0.685091833$ |
3.875464647 |
\( \frac{65597103937}{63504} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -335\) , \( 2426\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-335{x}+2426$ |
| 7056.2-f8 |
7056.2-f |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7056.2 |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 7^{2} \) |
$2.31645$ |
$(a), (-a-1), (a-1), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$4$ |
\( 2^{4} \) |
$1$ |
$0.342545916$ |
3.875464647 |
\( \frac{268498407453697}{252} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -5375\) , \( 152618\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-5375{x}+152618$ |
*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.
