| 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 |
| 392.1-a1 |
392.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( - 2^{8} \cdot 7^{5} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.074242763$ |
$15.72534403$ |
2.546691002 |
\( -\frac{1422010381936}{2401} a + \frac{4716272353612}{2401} \) |
\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 85 a - 286\) , \( -743 a + 2462\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(85a-286\right){x}-743a+2462$ |
| 392.1-a2 |
392.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( - 2^{8} \cdot 7^{5} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.268560690$ |
$15.72534403$ |
2.546691002 |
\( \frac{925696}{2401} a + \frac{3069952}{2401} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -40 a - 129\) , \( 99 a + 327\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(-40a-129\right){x}+99a+327$ |
| 392.1-a3 |
392.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( 2^{4} \cdot 7^{4} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$0.537121381$ |
$31.45068806$ |
2.546691002 |
\( \frac{20611200}{49} a + \frac{71467472}{49} \) |
\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 5 a - 21\) , \( -10 a + 30\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(5a-21\right){x}-10a+30$ |
| 392.1-a4 |
392.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( 2^{8} \cdot 7^{2} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1.074242763$ |
$15.72534403$ |
2.546691002 |
\( \frac{8588862750480}{7} a + \frac{28486035134492}{7} \) |
\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 5 a - 56\) , \( 25 a - 54\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(5a-56\right){x}+25a-54$ |
| 392.1-b1 |
392.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( - 2^{8} \cdot 7^{5} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.268560690$ |
$15.72534403$ |
2.546691002 |
\( -\frac{925696}{2401} a + \frac{3069952}{2401} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 40 a - 129\) , \( -99 a + 327\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(40a-129\right){x}-99a+327$ |
| 392.1-b2 |
392.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( 2^{8} \cdot 7^{2} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1.074242763$ |
$15.72534403$ |
2.546691002 |
\( -\frac{8588862750480}{7} a + \frac{28486035134492}{7} \) |
\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -7 a - 56\) , \( -26 a - 54\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-7a-56\right){x}-26a-54$ |
| 392.1-b3 |
392.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( 2^{4} \cdot 7^{4} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$0.537121381$ |
$31.45068806$ |
2.546691002 |
\( -\frac{20611200}{49} a + \frac{71467472}{49} \) |
\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -7 a - 21\) , \( 9 a + 30\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-7a-21\right){x}+9a+30$ |
| 392.1-b4 |
392.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( - 2^{8} \cdot 7^{5} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.074242763$ |
$15.72534403$ |
2.546691002 |
\( \frac{1422010381936}{2401} a + \frac{4716272353612}{2401} \) |
\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -87 a - 286\) , \( 742 a + 2462\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-87a-286\right){x}+742a+2462$ |
| 392.1-c1 |
392.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( 2^{4} \cdot 7^{2} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$4$ |
\( 2 \) |
$1$ |
$24.47471212$ |
1.844850840 |
\( \frac{432}{7} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( 18 a + 61\) , \( 342 a + 1134\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(18a+61\right){x}+342a+1134$ |
| 392.1-c2 |
392.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( 2^{10} \cdot 7^{8} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$6.118678030$ |
1.844850840 |
\( \frac{11090466}{2401} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -882 a - 2924\) , \( -22998 a - 76276\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-882a-2924\right){x}-22998a-76276$ |
| 392.1-c3 |
392.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( 2^{8} \cdot 7^{4} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$24.47471212$ |
1.844850840 |
\( \frac{740772}{49} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 287 a - 940\) , \( -4674 a + 15516\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(287a-940\right){x}-4674a+15516$ |
| 392.1-c4 |
392.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( 2^{10} \cdot 7^{2} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$24.47471212$ |
1.844850840 |
\( \frac{1443468546}{7} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 4487 a - 14870\) , \( -300704 a + 997336\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(4487a-14870\right){x}-300704a+997336$ |
| 392.1-d1 |
392.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( 2^{8} \cdot 7^{2} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.866870531$ |
$7.189921948$ |
1.879239242 |
\( -\frac{4}{7} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 9 a - 3\) , \( 612 a - 2003\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(9a-3\right){x}+612a-2003$ |
| 392.1-d2 |
392.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( 2^{10} \cdot 7^{4} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.433435265$ |
$7.189921948$ |
1.879239242 |
\( \frac{3543122}{49} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 609 a - 1993\) , \( 14382 a - 47673\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(609a-1993\right){x}+14382a-47673$ |
| 392.1-e1 |
392.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( - 2^{8} \cdot 7^{5} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$7.562455939$ |
0.570041564 |
\( -\frac{925696}{2401} a + \frac{3069952}{2401} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 40 a - 129\) , \( 99 a - 327\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(40a-129\right){x}+99a-327$ |
| 392.1-e2 |
392.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( 2^{8} \cdot 7^{2} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$3.781227969$ |
0.570041564 |
\( -\frac{8588862750480}{7} a + \frac{28486035134492}{7} \) |
\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( -5 a - 56\) , \( 15 a - 56\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-5a-56\right){x}+15a-56$ |
| 392.1-e3 |
392.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( 2^{4} \cdot 7^{4} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$7.562455939$ |
0.570041564 |
\( -\frac{20611200}{49} a + \frac{71467472}{49} \) |
\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( -5 a - 21\) , \( -20 a - 70\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-5a-21\right){x}-20a-70$ |
| 392.1-e4 |
392.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( - 2^{8} \cdot 7^{5} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.890613984$ |
0.570041564 |
\( \frac{1422010381936}{2401} a + \frac{4716272353612}{2401} \) |
\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( -85 a - 286\) , \( -913 a - 3032\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-85a-286\right){x}-913a-3032$ |
| 392.1-f1 |
392.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( 2^{4} \cdot 7^{2} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$3.287005482$ |
$10.54517411$ |
5.225499916 |
\( \frac{432}{7} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 17 a + 55\) , \( -257 a - 854\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(17a+55\right){x}-257a-854$ |
| 392.1-f2 |
392.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( 2^{10} \cdot 7^{8} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.821751370$ |
$10.54517411$ |
5.225499916 |
\( \frac{11090466}{2401} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -883 a - 2930\) , \( 18298 a + 60686\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-883a-2930\right){x}+18298a+60686$ |
| 392.1-f3 |
392.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( 2^{8} \cdot 7^{4} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1.643502741$ |
$10.54517411$ |
5.225499916 |
\( \frac{740772}{49} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( 288 a - 934\) , \( 4304 a - 14256\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(288a-934\right){x}+4304a-14256$ |
| 392.1-f4 |
392.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( 2^{10} \cdot 7^{2} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$4$ |
\( 2 \) |
$3.287005482$ |
$2.636293528$ |
5.225499916 |
\( \frac{1443468546}{7} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( 4488 a - 14864\) , \( 294804 a - 977736\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(4488a-14864\right){x}+294804a-977736$ |
| 392.1-g1 |
392.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( - 2^{8} \cdot 7^{5} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.890613984$ |
0.570041564 |
\( -\frac{1422010381936}{2401} a + \frac{4716272353612}{2401} \) |
\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 83 a - 286\) , \( 912 a - 3032\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(83a-286\right){x}+912a-3032$ |
| 392.1-g2 |
392.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( - 2^{8} \cdot 7^{5} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$7.562455939$ |
0.570041564 |
\( \frac{925696}{2401} a + \frac{3069952}{2401} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -40 a - 129\) , \( -99 a - 327\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-40a-129\right){x}-99a-327$ |
| 392.1-g3 |
392.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( 2^{4} \cdot 7^{4} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$7.562455939$ |
0.570041564 |
\( \frac{20611200}{49} a + \frac{71467472}{49} \) |
\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 3 a - 21\) , \( 19 a - 70\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(3a-21\right){x}+19a-70$ |
| 392.1-g4 |
392.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( 2^{8} \cdot 7^{2} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$3.781227969$ |
0.570041564 |
\( \frac{8588862750480}{7} a + \frac{28486035134492}{7} \) |
\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 3 a - 56\) , \( -16 a - 56\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(3a-56\right){x}-16a-56$ |
| 392.1-h1 |
392.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( 2^{8} \cdot 7^{2} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$0.509783916$ |
$22.75712104$ |
3.497897723 |
\( -\frac{4}{7} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 6 a - 13\) , \( -613 a + 2041\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(6a-13\right){x}-613a+2041$ |
| 392.1-h2 |
392.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
392.1 |
\( 2^{3} \cdot 7^{2} \) |
\( 2^{10} \cdot 7^{4} \) |
$2.63746$ |
$(a+3), (a+2), (a-2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.127445979$ |
$22.75712104$ |
3.497897723 |
\( \frac{3543122}{49} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 606 a - 2003\) , \( -15173 a + 50331\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(606a-2003\right){x}-15173a+50331$ |
*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.
