| 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 |
| 15876.2-a1 |
15876.2-a |
$2$ |
$7$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{26} \cdot 7^{4} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$7$ |
7B.6.1[2] |
$1$ |
\( 2^{2} \) |
$1.160660403$ |
$0.254726358$ |
1.787927965 |
\( -\frac{6329617441}{279936} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -1269\) , \( -17739\bigr] \) |
${y}^2+{x}{y}={x}^{3}-{x}^{2}-1269{x}-17739$ |
| 15876.2-a2 |
15876.2-a |
$2$ |
$7$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{14} \cdot 7^{4} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$7$ |
7B.6.2[2] |
$1$ |
\( 2^{2} \) |
$0.165808629$ |
$1.783084506$ |
1.787927965 |
\( -\frac{2401}{6} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -9\) , \( 27\bigr] \) |
${y}^2+{x}{y}={x}^{3}-{x}^{2}-9{x}+27$ |
| 15876.2-b1 |
15876.2-b |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 7^{3} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.078469383$ |
$3.369566814$ |
3.197976525 |
\( \frac{24273}{16} a - \frac{4293}{8} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( 3 a\) , \( a + 2\bigr] \) |
${y}^2+{x}{y}={x}^{3}-{x}^{2}+3a{x}+a+2$ |
| 15876.2-b2 |
15876.2-b |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 7^{3} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.078469383$ |
$3.369566814$ |
3.197976525 |
\( -\frac{24273}{16} a + \frac{15687}{16} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -3 a + 3\) , \( -a + 3\bigr] \) |
${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-3a+3\right){x}-a+3$ |
| 15876.2-c1 |
15876.2-c |
$4$ |
$14$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{3} \cdot 3^{12} \cdot 7^{9} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 7$ |
2B, 7B.6.2[2] |
$1$ |
\( 2^{3} \) |
$1$ |
$0.836482432$ |
1.264642567 |
\( \frac{16471}{4} a - 3375 \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( 21 a - 93\) , \( -91 a + 377\bigr] \) |
${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(21a-93\right){x}-91a+377$ |
| 15876.2-c2 |
15876.2-c |
$4$ |
$14$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{3} \cdot 3^{12} \cdot 7^{9} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 7$ |
2B, 7B.6.2[2] |
$1$ |
\( 2^{3} \) |
$1$ |
$0.836482432$ |
1.264642567 |
\( -\frac{16471}{4} a + \frac{2971}{4} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -21 a - 72\) , \( 91 a + 286\bigr] \) |
${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-21a-72\right){x}+91a+286$ |
| 15876.2-c3 |
15876.2-c |
$4$ |
$14$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{21} \cdot 3^{12} \cdot 7^{3} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 7$ |
2B, 7B.6.1[2] |
$1$ |
\( 2^{3} \) |
$1$ |
$0.836482432$ |
1.264642567 |
\( \frac{1875341}{16384} a + \frac{13640585}{8192} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( 39 a + 24\) , \( 13 a + 38\bigr] \) |
${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(39a+24\right){x}+13a+38$ |
| 15876.2-c4 |
15876.2-c |
$4$ |
$14$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{21} \cdot 3^{12} \cdot 7^{3} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 7$ |
2B, 7B.6.1[2] |
$1$ |
\( 2^{3} \) |
$1$ |
$0.836482432$ |
1.264642567 |
\( -\frac{1875341}{16384} a + \frac{29156511}{16384} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -39 a + 63\) , \( -13 a + 51\bigr] \) |
${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-39a+63\right){x}-13a+51$ |
| 15876.2-d1 |
15876.2-d |
$2$ |
$3$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 7^{4} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$1.646058679$ |
$1.498465456$ |
2.486060889 |
\( -\frac{67645179}{8} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -93\) , \( -323\bigr] \) |
${y}^2+{x}{y}={x}^{3}-{x}^{2}-93{x}-323$ |
| 15876.2-d2 |
15876.2-d |
$2$ |
$3$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{18} \cdot 3^{18} \cdot 7^{4} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.2 |
$1$ |
\( 2 \cdot 3 \) |
$0.548686226$ |
$0.499488485$ |
2.486060889 |
\( \frac{189}{512} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( 12\) , \( -1072\bigr] \) |
${y}^2+{x}{y}={x}^{3}-{x}^{2}+12{x}-1072$ |
| 15876.2-e1 |
15876.2-e |
$4$ |
$39$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{18} \cdot 7^{8} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3, 13$ |
3B.1.2, 13B |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$0.469551031$ |
2.129683297 |
\( \frac{284931}{8} a - \frac{154845}{8} \) |
\( \bigl[1\) , \( -1\) , \( a\) , \( -95 a - 366\) , \( 1181 a + 2614\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-95a-366\right){x}+1181a+2614$ |
| 15876.2-e2 |
15876.2-e |
$4$ |
$39$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{52} \cdot 3^{18} \cdot 7^{8} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3, 13$ |
3B.1.2, 13B |
$1$ |
\( 2 \cdot 3 \cdot 13 \) |
$1$ |
$0.036119310$ |
2.129683297 |
\( \frac{167371429164111}{549755813888} a - \frac{65033923835925}{549755813888} \) |
\( \bigl[1\) , \( -1\) , \( a\) , \( -17105 a + 8139\) , \( 213806 a - 2812541\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-17105a+8139\right){x}+213806a-2812541$ |
| 15876.2-e3 |
15876.2-e |
$4$ |
$39$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{52} \cdot 3^{6} \cdot 7^{8} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3, 13$ |
3B.1.1, 13B |
$1$ |
\( 2 \cdot 3^{2} \cdot 13 \) |
$1$ |
$0.108357930$ |
2.129683297 |
\( -\frac{167371429164111}{549755813888} a + \frac{51168752664093}{274877906944} \) |
\( \bigl[1\) , \( -1\) , \( a\) , \( 1900 a - 996\) , \( 7285 a + 96582\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(1900a-996\right){x}+7285a+96582$ |
| 15876.2-e4 |
15876.2-e |
$4$ |
$39$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{8} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3, 13$ |
3B.1.1, 13B |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$1.408653093$ |
2.129683297 |
\( -\frac{284931}{8} a + \frac{65043}{4} \) |
\( \bigl[1\) , \( -1\) , \( a\) , \( 10 a - 51\) , \( 40 a - 123\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(10a-51\right){x}+40a-123$ |
| 15876.2-f1 |
15876.2-f |
$4$ |
$39$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{8} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3, 13$ |
3B.1.1, 13B |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$1.408653093$ |
2.129683297 |
\( \frac{284931}{8} a - \frac{154845}{8} \) |
\( \bigl[1\) , \( -1\) , \( a + 1\) , \( -11 a - 41\) , \( -41 a - 83\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-11a-41\right){x}-41a-83$ |
| 15876.2-f2 |
15876.2-f |
$4$ |
$39$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{52} \cdot 3^{6} \cdot 7^{8} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3, 13$ |
3B.1.1, 13B |
$1$ |
\( 2 \cdot 3^{2} \cdot 13 \) |
$1$ |
$0.108357930$ |
2.129683297 |
\( \frac{167371429164111}{549755813888} a - \frac{65033923835925}{549755813888} \) |
\( \bigl[1\) , \( -1\) , \( a + 1\) , \( -1901 a + 904\) , \( -7286 a + 103867\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-1901a+904\right){x}-7286a+103867$ |
| 15876.2-f3 |
15876.2-f |
$4$ |
$39$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{52} \cdot 3^{18} \cdot 7^{8} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3, 13$ |
3B.1.2, 13B |
$1$ |
\( 2 \cdot 3 \cdot 13 \) |
$1$ |
$0.036119310$ |
2.129683297 |
\( -\frac{167371429164111}{549755813888} a + \frac{51168752664093}{274877906944} \) |
\( \bigl[1\) , \( -1\) , \( a + 1\) , \( 17104 a - 8966\) , \( -213807 a - 2598735\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(17104a-8966\right){x}-213807a-2598735$ |
| 15876.2-f4 |
15876.2-f |
$4$ |
$39$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{18} \cdot 7^{8} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3, 13$ |
3B.1.2, 13B |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$0.469551031$ |
2.129683297 |
\( -\frac{284931}{8} a + \frac{65043}{4} \) |
\( \bigl[1\) , \( -1\) , \( a + 1\) , \( 94 a - 461\) , \( -1182 a + 3795\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(94a-461\right){x}-1182a+3795$ |
| 15876.2-g1 |
15876.2-g |
$2$ |
$3$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{18} \cdot 7^{4} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.2 |
$1$ |
\( 2 \cdot 3^{3} \) |
$0.213735627$ |
$0.499488485$ |
8.715797537 |
\( -\frac{67645179}{8} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -839\) , \( 9559\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-839{x}+9559$ |
| 15876.2-g2 |
15876.2-g |
$2$ |
$3$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{18} \cdot 3^{6} \cdot 7^{4} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.1 |
$1$ |
\( 2 \cdot 3^{5} \) |
$0.071245209$ |
$1.498465456$ |
8.715797537 |
\( \frac{189}{512} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( 1\) , \( 39\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+{x}+39$ |
| 15876.2-h1 |
15876.2-h |
$2$ |
$3$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{30} \cdot 3^{14} \cdot 7^{8} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
$0.141160516$ |
$0.136360954$ |
8.730427193 |
\( -\frac{16591834777}{98304} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -6404\) , \( 199847\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-6404{x}+199847$ |
| 15876.2-h2 |
15876.2-h |
$2$ |
$3$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{18} \cdot 7^{8} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B.1.2 |
$1$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \) |
$0.047053505$ |
$0.409082862$ |
8.730427193 |
\( \frac{596183}{864} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( 211\) , \( 1397\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+211{x}+1397$ |
| 15876.2-i1 |
15876.2-i |
$8$ |
$16$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{20} \cdot 7^{6} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{8} \) |
$1$ |
$0.535568110$ |
6.477622992 |
\( \frac{4913}{1296} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( 22\) , \( -871\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+22{x}-871$ |
| 15876.2-i2 |
15876.2-i |
$8$ |
$16$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{17} \cdot 3^{14} \cdot 7^{6} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.535568110$ |
6.477622992 |
\( \frac{43993943}{196608} a + \frac{189091403}{98304} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -126 a + 22\) , \( 252 a - 381\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-126a+22\right){x}+252a-381$ |
| 15876.2-i3 |
15876.2-i |
$8$ |
$16$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{17} \cdot 3^{14} \cdot 7^{6} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.535568110$ |
6.477622992 |
\( -\frac{43993943}{196608} a + \frac{140725583}{65536} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( 126 a - 104\) , \( -252 a - 129\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(126a-104\right){x}-252a-129$ |
| 15876.2-i4 |
15876.2-i |
$8$ |
$16$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{28} \cdot 7^{6} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$4$ |
\( 2^{5} \) |
$1$ |
$0.267784055$ |
6.477622992 |
\( \frac{838561807}{26244} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -1238\) , \( -15991\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-1238{x}-15991$ |
| 15876.2-i5 |
15876.2-i |
$8$ |
$16$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{16} \cdot 7^{6} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{8} \) |
$1$ |
$0.535568110$ |
6.477622992 |
\( \frac{56620795}{2304} a + \frac{115022599}{2304} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( 126 a + 253\) , \( 1414 a - 2509\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(126a+253\right){x}+1414a-2509$ |
| 15876.2-i6 |
15876.2-i |
$8$ |
$16$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{16} \cdot 7^{6} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{8} \) |
$1$ |
$0.535568110$ |
6.477622992 |
\( -\frac{56620795}{2304} a + \frac{85821697}{1152} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -126 a + 379\) , \( -1414 a - 1095\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-126a+379\right){x}-1414a-1095$ |
| 15876.2-i7 |
15876.2-i |
$8$ |
$16$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{5} \cdot 3^{14} \cdot 7^{6} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$4$ |
\( 2^{5} \) |
$1$ |
$0.267784055$ |
6.477622992 |
\( \frac{145011769343}{48} a + \frac{19365113857}{16} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( 2016 a + 4033\) , \( 92890 a - 158245\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(2016a+4033\right){x}+92890a-158245$ |
| 15876.2-i8 |
15876.2-i |
$8$ |
$16$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{5} \cdot 3^{14} \cdot 7^{6} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$4$ |
\( 2^{5} \) |
$1$ |
$0.267784055$ |
6.477622992 |
\( -\frac{145011769343}{48} a + \frac{101553555457}{24} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -2016 a + 6049\) , \( -92890 a - 65355\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-2016a+6049\right){x}-92890a-65355$ |
| 15876.2-j1 |
15876.2-j |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{18} \cdot 7^{3} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$1.123188938$ |
6.792408240 |
\( \frac{24273}{16} a - \frac{4293}{8} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( 27 a - 2\) , \( -54 a - 53\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(27a-2\right){x}-54a-53$ |
| 15876.2-j2 |
15876.2-j |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15876.2 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{18} \cdot 7^{3} \) |
$2.65383$ |
$(a), (-a+1), (-2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$1.123188938$ |
6.792408240 |
\( -\frac{24273}{16} a + \frac{15687}{16} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -27 a + 25\) , \( 54 a - 107\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-27a+25\right){x}+54a-107$ |
*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.
