| 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 |
| 1792.1-a1 |
1792.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{8} \cdot 7^{2} \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$20.68395770$ |
2.256804806 |
\( -\frac{12288}{7} a - \frac{10240}{7} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -6 a + 17\) , \( 0\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-6a+17\right){x}$ |
| 1792.1-a2 |
1792.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{16} \cdot 7 \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$20.68395770$ |
2.256804806 |
\( \frac{76554336}{7} a + \frac{137143280}{7} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 24 a - 68\) , \( -24 a + 68\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(24a-68\right){x}-24a+68$ |
| 1792.1-b1 |
1792.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{16} \cdot 7^{2} \) |
$2.66430$ |
$(a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.284457192$ |
$12.23735606$ |
3.038469349 |
\( \frac{432}{7} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 5 a + 9\) , \( 48 a + 86\bigr] \) |
${y}^2={x}^{3}+\left(5a+9\right){x}+48a+86$ |
| 1792.1-b2 |
1792.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{22} \cdot 7^{8} \) |
$2.66430$ |
$(a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.284457192$ |
$3.059339015$ |
3.038469349 |
\( \frac{11090466}{2401} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 295 a - 826\) , \( 3312 a - 9246\bigr] \) |
${y}^2={x}^{3}+\left(295a-826\right){x}+3312a-9246$ |
| 1792.1-b3 |
1792.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{20} \cdot 7^{4} \) |
$2.66430$ |
$(a+3), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$0.568914384$ |
$12.23735606$ |
3.038469349 |
\( \frac{740772}{49} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 95 a - 266\) , \( -720 a + 2010\bigr] \) |
${y}^2={x}^{3}+\left(95a-266\right){x}-720a+2010$ |
| 1792.1-b4 |
1792.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{22} \cdot 7^{2} \) |
$2.66430$ |
$(a+3), (2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.137828769$ |
$12.23735606$ |
3.038469349 |
\( \frac{1443468546}{7} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 1495 a - 4186\) , \( -47760 a + 133330\bigr] \) |
${y}^2={x}^{3}+\left(1495a-4186\right){x}-47760a+133330$ |
| 1792.1-c1 |
1792.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{16} \cdot 7^{6} \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$1.147332059$ |
6.008841155 |
\( -\frac{2457296}{343} a - \frac{7117776}{343} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 9 a - 36\) , \( 29 a - 92\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(9a-36\right){x}+29a-92$ |
| 1792.1-c2 |
1792.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{20} \cdot 7^{3} \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$16$ |
\( 2 \cdot 3 \) |
$1$ |
$1.147332059$ |
6.008841155 |
\( \frac{17606557700}{49} a + \frac{35196293872}{49} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 149 a - 596\) , \( 1877 a - 6112\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(149a-596\right){x}+1877a-6112$ |
| 1792.1-d1 |
1792.1-d |
$6$ |
$18$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{60} \cdot 7^{2} \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{3} \) |
$1$ |
$1.756927026$ |
3.067143272 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -2728\) , \( 55920\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-2728{x}+55920$ |
| 1792.1-d2 |
1792.1-d |
$6$ |
$18$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{28} \cdot 7^{2} \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{3} \) |
$1$ |
$1.756927026$ |
3.067143272 |
\( -\frac{15625}{28} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -8\) , \( -16\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-8{x}-16$ |
| 1792.1-d3 |
1792.1-d |
$6$ |
$18$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{36} \cdot 7^{6} \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{3} \) |
$1$ |
$1.756927026$ |
3.067143272 |
\( \frac{9938375}{21952} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 72\) , \( 368\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+72{x}+368$ |
| 1792.1-d4 |
1792.1-d |
$6$ |
$18$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{30} \cdot 7^{12} \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3Cs |
$4$ |
\( 2^{3} \) |
$1$ |
$1.756927026$ |
3.067143272 |
\( \frac{4956477625}{941192} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -568\) , \( 4464\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-568{x}+4464$ |
| 1792.1-d5 |
1792.1-d |
$6$ |
$18$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{26} \cdot 7^{4} \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{3} \) |
$1$ |
$1.756927026$ |
3.067143272 |
\( \frac{128787625}{98} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -168\) , \( -784\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-168{x}-784$ |
| 1792.1-d6 |
1792.1-d |
$6$ |
$18$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{42} \cdot 7^{4} \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{3} \) |
$1$ |
$1.756927026$ |
3.067143272 |
\( \frac{2251439055699625}{25088} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -43688\) , \( 3529328\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-43688{x}+3529328$ |
| 1792.1-e1 |
1792.1-e |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{8} \cdot 7^{2} \) |
$2.66430$ |
$(a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1.674211907$ |
$7.018192560$ |
2.564047456 |
\( -\frac{12288}{7} a - \frac{10240}{7} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -6 a + 17\) , \( 0\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-6a+17\right){x}$ |
| 1792.1-e2 |
1792.1-e |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{16} \cdot 7 \) |
$2.66430$ |
$(a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 1 \) |
$3.348423814$ |
$7.018192560$ |
2.564047456 |
\( \frac{76554336}{7} a + \frac{137143280}{7} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 24 a - 68\) , \( 24 a - 68\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(24a-68\right){x}+24a-68$ |
| 1792.1-f1 |
1792.1-f |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{8} \cdot 7^{2} \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$20.68395770$ |
2.256804806 |
\( \frac{12288}{7} a - \frac{22528}{7} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 6 a + 11\) , \( 0\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(6a+11\right){x}$ |
| 1792.1-f2 |
1792.1-f |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{16} \cdot 7 \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$20.68395770$ |
2.256804806 |
\( -\frac{76554336}{7} a + \frac{213697616}{7} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -24 a - 44\) , \( 24 a + 44\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-24a-44\right){x}+24a+44$ |
| 1792.1-g1 |
1792.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{8} \cdot 7^{4} \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$8.919127558$ |
0.973156599 |
\( -\frac{55296}{49} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 2 a - 6\) , \( -4 a + 11\bigr] \) |
${y}^2={x}^{3}+\left(2a-6\right){x}-4a+11$ |
| 1792.1-g2 |
1792.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{20} \cdot 7 \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$4$ |
\( 2 \) |
$1$ |
$8.919127558$ |
0.973156599 |
\( -\frac{14919813068184}{7} a + \frac{41645492922276}{7} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 617 a - 1731\) , \( -12688 a + 35410\bigr] \) |
${y}^2={x}^{3}+\left(617a-1731\right){x}-12688a+35410$ |
| 1792.1-g3 |
1792.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{16} \cdot 7^{2} \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$8.919127558$ |
0.973156599 |
\( \frac{21882096}{7} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 37 a - 111\) , \( -200 a + 550\bigr] \) |
${y}^2={x}^{3}+\left(37a-111\right){x}-200a+550$ |
| 1792.1-g4 |
1792.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{20} \cdot 7 \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$4$ |
\( 2 \) |
$1$ |
$2.229781889$ |
0.973156599 |
\( \frac{14919813068184}{7} a + \frac{26725679854092}{7} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 17 a - 171\) , \( -256 a + 186\bigr] \) |
${y}^2={x}^{3}+\left(17a-171\right){x}-256a+186$ |
| 1792.1-h1 |
1792.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{16} \cdot 7^{4} \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.138715289$ |
0.466705938 |
\( -\frac{8439552}{49} a - \frac{15037488}{49} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -7 a + 15\) , \( a - 4\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-7a+15\right){x}+a-4$ |
| 1792.1-h2 |
1792.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{20} \cdot 7^{2} \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.138715289$ |
0.466705938 |
\( \frac{949448736864}{7} a + \frac{1700735996916}{7} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -7 a - 125\) , \( -83 a - 284\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-7a-125\right){x}-83a-284$ |
| 1792.1-i1 |
1792.1-i |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{16} \cdot 7^{2} \) |
$2.66430$ |
$(a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.758043791$ |
$6.885018232$ |
5.282690069 |
\( \frac{6992}{7} a - \frac{23840}{7} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -a - 3\) , \( 3 a + 5\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-a-3\right){x}+3a+5$ |
| 1792.1-i2 |
1792.1-i |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{20} \cdot 7 \) |
$2.66430$ |
$(a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$3.516087582$ |
$6.885018232$ |
5.282690069 |
\( -\frac{51036164}{7} a + \frac{152769780}{7} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -21 a - 63\) , \( 131 a + 193\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-21a-63\right){x}+131a+193$ |
| 1792.1-j1 |
1792.1-j |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{16} \cdot 7^{4} \) |
$2.66430$ |
$(a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.334085479$ |
$9.829666185$ |
2.866465467 |
\( -\frac{8439552}{49} a - \frac{15037488}{49} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -7 a + 15\) , \( -a + 4\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-7a+15\right){x}-a+4$ |
| 1792.1-j2 |
1792.1-j |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{20} \cdot 7^{2} \) |
$2.66430$ |
$(a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.668170959$ |
$9.829666185$ |
2.866465467 |
\( \frac{949448736864}{7} a + \frac{1700735996916}{7} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -7 a - 125\) , \( 83 a + 284\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-7a-125\right){x}+83a+284$ |
| 1792.1-k1 |
1792.1-k |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{16} \cdot 7^{6} \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$11.20415766$ |
2.444947646 |
\( -\frac{2457296}{343} a - \frac{7117776}{343} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 9 a - 36\) , \( -29 a + 92\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(9a-36\right){x}-29a+92$ |
| 1792.1-k2 |
1792.1-k |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{20} \cdot 7^{3} \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$11.20415766$ |
2.444947646 |
\( \frac{17606557700}{49} a + \frac{35196293872}{49} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 149 a - 596\) , \( -1877 a + 6112\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(149a-596\right){x}-1877a+6112$ |
| 1792.1-l1 |
1792.1-l |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{8} \cdot 7^{2} \) |
$2.66430$ |
$(a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1.674211907$ |
$7.018192560$ |
2.564047456 |
\( \frac{12288}{7} a - \frac{22528}{7} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 6 a + 11\) , \( 0\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(6a+11\right){x}$ |
| 1792.1-l2 |
1792.1-l |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{16} \cdot 7 \) |
$2.66430$ |
$(a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 1 \) |
$3.348423814$ |
$7.018192560$ |
2.564047456 |
\( -\frac{76554336}{7} a + \frac{213697616}{7} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -24 a - 44\) , \( -24 a - 44\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-24a-44\right){x}-24a-44$ |
| 1792.1-m1 |
1792.1-m |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{16} \cdot 7^{4} \) |
$2.66430$ |
$(a+3), (2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.593647072$ |
$5.784310009$ |
4.023129928 |
\( \frac{11664}{49} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 4 a + 8\) , \( 16 a + 28\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(4a+8\right){x}+16a+28$ |
| 1792.1-m2 |
1792.1-m |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{8} \cdot 7^{2} \) |
$2.66430$ |
$(a+3), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2 \) |
$3.187294145$ |
$23.13724003$ |
4.023129928 |
\( \frac{55296}{7} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -a - 2\) , \( 0\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-a-2\right){x}$ |
| 1792.1-m3 |
1792.1-m |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{16} \cdot 7 \) |
$2.66430$ |
$(a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 1 \) |
$6.374588290$ |
$5.784310009$ |
4.023129928 |
\( -\frac{77586336}{7} a + \frac{216622512}{7} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -6 a - 17\) , \( -27 a - 53\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-6a-17\right){x}-27a-53$ |
| 1792.1-m4 |
1792.1-m |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{16} \cdot 7 \) |
$2.66430$ |
$(a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 1 \) |
$1.593647072$ |
$23.13724003$ |
4.023129928 |
\( \frac{77586336}{7} a + \frac{139036176}{7} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -31 a - 57\) , \( 111 a + 200\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-31a-57\right){x}+111a+200$ |
| 1792.1-n1 |
1792.1-n |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{16} \cdot 7^{6} \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$1.147332059$ |
6.008841155 |
\( \frac{2457296}{343} a - \frac{9575072}{343} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -9 a - 27\) , \( -29 a - 63\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-9a-27\right){x}-29a-63$ |
| 1792.1-n2 |
1792.1-n |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{20} \cdot 7^{3} \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$16$ |
\( 2 \cdot 3 \) |
$1$ |
$1.147332059$ |
6.008841155 |
\( -\frac{17606557700}{49} a + \frac{52802851572}{49} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -149 a - 447\) , \( -1877 a - 4235\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-149a-447\right){x}-1877a-4235$ |
| 1792.1-o1 |
1792.1-o |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{16} \cdot 7^{4} \) |
$2.66430$ |
$(a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.334085479$ |
$9.829666185$ |
2.866465467 |
\( \frac{8439552}{49} a - \frac{23477040}{49} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 9 a + 7\) , \( -7 a - 4\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(9a+7\right){x}-7a-4$ |
| 1792.1-o2 |
1792.1-o |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{20} \cdot 7^{2} \) |
$2.66430$ |
$(a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.668170959$ |
$9.829666185$ |
2.866465467 |
\( -\frac{949448736864}{7} a + \frac{2650184733780}{7} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 9 a - 133\) , \( -91 a + 500\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(9a-133\right){x}-91a+500$ |
| 1792.1-p1 |
1792.1-p |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{16} \cdot 7^{2} \) |
$2.66430$ |
$(a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.281348045$ |
$8.419335121$ |
2.067626275 |
\( \frac{6992}{7} a - \frac{23840}{7} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -a - 3\) , \( -3 a - 5\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-a-3\right){x}-3a-5$ |
| 1792.1-p2 |
1792.1-p |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{20} \cdot 7 \) |
$2.66430$ |
$(a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.562696090$ |
$8.419335121$ |
2.067626275 |
\( -\frac{51036164}{7} a + \frac{152769780}{7} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -21 a - 63\) , \( -131 a - 193\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-21a-63\right){x}-131a-193$ |
| 1792.1-q1 |
1792.1-q |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{16} \cdot 7^{4} \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.138715289$ |
0.466705938 |
\( \frac{8439552}{49} a - \frac{23477040}{49} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 9 a + 7\) , \( 7 a + 4\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(9a+7\right){x}+7a+4$ |
| 1792.1-q2 |
1792.1-q |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{20} \cdot 7^{2} \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.138715289$ |
0.466705938 |
\( -\frac{949448736864}{7} a + \frac{2650184733780}{7} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 9 a - 133\) , \( 91 a - 500\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(9a-133\right){x}+91a-500$ |
| 1792.1-r1 |
1792.1-r |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{16} \cdot 7^{6} \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$11.20415766$ |
2.444947646 |
\( \frac{2457296}{343} a - \frac{9575072}{343} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -9 a - 27\) , \( 29 a + 63\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-9a-27\right){x}+29a+63$ |
| 1792.1-r2 |
1792.1-r |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{20} \cdot 7^{3} \) |
$2.66430$ |
$(a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$11.20415766$ |
2.444947646 |
\( -\frac{17606557700}{49} a + \frac{52802851572}{49} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -149 a - 447\) , \( 1877 a + 4235\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-149a-447\right){x}+1877a+4235$ |
| 1792.1-s1 |
1792.1-s |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{16} \cdot 7^{2} \) |
$2.66430$ |
$(a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.758043791$ |
$6.885018232$ |
5.282690069 |
\( -\frac{6992}{7} a - \frac{16848}{7} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( a - 4\) , \( -3 a + 8\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(a-4\right){x}-3a+8$ |
| 1792.1-s2 |
1792.1-s |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{20} \cdot 7 \) |
$2.66430$ |
$(a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$3.516087582$ |
$6.885018232$ |
5.282690069 |
\( \frac{51036164}{7} a + \frac{101733616}{7} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 21 a - 84\) , \( -131 a + 324\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(21a-84\right){x}-131a+324$ |
| 1792.1-t1 |
1792.1-t |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{16} \cdot 7^{2} \) |
$2.66430$ |
$(a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.056652056$ |
$6.885018232$ |
6.350200547 |
\( -\frac{6992}{7} a - \frac{16848}{7} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -8 a - 12\) , \( -16 a - 28\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-8a-12\right){x}-16a-28$ |
| 1792.1-t2 |
1792.1-t |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1792.1 |
\( 2^{8} \cdot 7 \) |
\( 2^{20} \cdot 7 \) |
$2.66430$ |
$(a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$2.113304112$ |
$6.885018232$ |
6.350200547 |
\( \frac{51036164}{7} a + \frac{101733616}{7} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -128 a - 232\) , \( -1128 a - 2020\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-128a-232\right){x}-1128a-2020$ |
*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.
