| 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 |
| 1444.2-b3 |
1444.2-b |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1444.2 |
\( 2^{2} \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$0.95409$ |
$(-5a+3), (-5a+2), (2)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.1[2] |
$1$ |
\( 3 \) |
$1$ |
$3.410590199$ |
1.312736779 |
\( -\frac{413493625}{152} \) |
\( \bigl[a\) , \( 0\) , \( 1\) , \( 15 a\) , \( 22\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+15a{x}+22$ |
| 722.1-a1 |
722.1-a |
$3$ |
$9$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
722.1 |
\( 2 \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$0.92641$ |
$(a+1), (19)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 2 \) |
$1$ |
$3.410590199$ |
0.757908933 |
\( -\frac{413493625}{152} \) |
\( \bigl[i\) , \( 0\) , \( i\) , \( -15\) , \( -22\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-15{x}-22$ |
| 1444.2-a1 |
1444.2-a |
$3$ |
$9$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
1444.2 |
\( 2^{2} \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$1.45740$ |
$(a), (-a+1), (19)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 1 \) |
$1$ |
$3.410590199$ |
0.286462650 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-16{x}+22$ |
| 722.2-a1 |
722.2-a |
$3$ |
$9$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
722.2 |
\( 2 \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$1.31014$ |
$(a), (-3a+1), (3a+1)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 2 \) |
$1.698405069$ |
$3.410590199$ |
1.820427138 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-16{x}+22$ |
| 1444.1-b1 |
1444.1-b |
$3$ |
$9$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
1444.1 |
\( 2^{2} \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$1.82695$ |
$(2), (19)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 3 \) |
$2.840800951$ |
$3.410590199$ |
3.895047323 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-16{x}+22$ |
| 76.1-b1 |
76.1-b |
$3$ |
$9$ |
\(\Q(\sqrt{-19}) \) |
$2$ |
$[0, 1]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{6} \cdot 19^{2} \) |
$1.15006$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$0.774675563$ |
$3.410590199$ |
1.616372036 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 722.1-b1 |
722.1-b |
$3$ |
$9$ |
\(\Q(\sqrt{-5}) \) |
$2$ |
$[0, 1]$ |
722.1 |
\( 2 \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$2.07151$ |
$(2,a+1), (19)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$4$ |
\( 2 \) |
$1$ |
$3.410590199$ |
1.355788716 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 1444.2-a1 |
1444.2-a |
$3$ |
$9$ |
\(\Q(\sqrt{-23}) \) |
$2$ |
$[0, 1]$ |
1444.2 |
\( 2^{2} \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$2.64177$ |
$(2,a), (2,a+1), (19)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$9$ |
\( 1 \) |
$1$ |
$3.410590199$ |
1.422314434 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 722.1-a1 |
722.1-a |
$3$ |
$9$ |
\(\Q(\sqrt{-6}) \) |
$2$ |
$[0, 1]$ |
722.1 |
\( 2 \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$2.26923$ |
$(2,a), (19)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \) |
$1$ |
$3.410590199$ |
0.309415026 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 1444.5-a1 |
1444.5-a |
$3$ |
$9$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
1444.5 |
\( 2^{2} \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$3.06698$ |
$(2,a), (2,a+1), (19,a+5), (19,a+13)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 1 \) |
$5.984886784$ |
$3.410590199$ |
1.629378997 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 722.2-a1 |
722.2-a |
$3$ |
$9$ |
\(\Q(\sqrt{-10}) \) |
$2$ |
$[0, 1]$ |
722.2 |
\( 2 \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$2.92956$ |
$(2,a), (a+3), (a-3)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \) |
$4.519235595$ |
$3.410590199$ |
2.166267100 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 1444.1-a1 |
1444.1-a |
$3$ |
$9$ |
\(\Q(\sqrt{-43}) \) |
$2$ |
$[0, 1]$ |
1444.1 |
\( 2^{2} \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$3.61214$ |
$(2), (19)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 3 \) |
$6.710589815$ |
$3.410590199$ |
4.653660983 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 722.2-b1 |
722.2-b |
$3$ |
$9$ |
\(\Q(\sqrt{-13}) \) |
$2$ |
$[0, 1]$ |
722.2 |
\( 2 \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$3.34022$ |
$(2,a+1), (19,a+5), (19,a+14)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \) |
$4.871435753$ |
$3.410590199$ |
2.048011188 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 722.2-b1 |
722.2-b |
$3$ |
$9$ |
\(\Q(\sqrt{-14}) \) |
$2$ |
$[0, 1]$ |
722.2 |
\( 2 \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$3.46631$ |
$(2,a), (19,a+9), (19,a+10)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \) |
$12.95837681$ |
$3.410590199$ |
5.249689394 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 1444.2-b1 |
1444.2-b |
$3$ |
$9$ |
\(\Q(\sqrt{-67}) \) |
$2$ |
$[0, 1]$ |
1444.2 |
\( 2^{2} \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$4.50887$ |
$(a+1), (a-2), (2)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.1 |
$9$ |
\( 3 \) |
$1$ |
$3.410590199$ |
2.500019457 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 722.1-b1 |
722.1-b |
$3$ |
$9$ |
\(\Q(\sqrt{-17}) \) |
$2$ |
$[0, 1]$ |
722.1 |
\( 2 \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$3.81968$ |
$(2,a+1), (19)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \) |
$1$ |
$3.410590199$ |
0.183819916 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 722.2-d1 |
722.2-d |
$3$ |
$9$ |
\(\Q(\sqrt{-21}) \) |
$2$ |
$[0, 1]$ |
722.2 |
\( 2 \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$4.24534$ |
$(2,a+1), (19,a+6), (19,a+13)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \) |
$8.847701190$ |
$3.410590199$ |
2.926630007 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 722.2-a1 |
722.2-a |
$3$ |
$9$ |
\(\Q(\sqrt{-22}) \) |
$2$ |
$[0, 1]$ |
722.2 |
\( 2 \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$4.34524$ |
$(2,a), (19,a+4), (19,a+15)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \) |
$11.76642746$ |
$3.410590199$ |
3.802597017 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 76.2-b1 |
76.2-b |
$3$ |
$9$ |
\(\Q(\sqrt{-95}) \) |
$2$ |
$[0, 1]$ |
76.2 |
\( 2^{2} \cdot 19 \) |
\( 2^{6} \cdot 19^{2} \) |
$2.57160$ |
$(2,a), (2,a+1), (19,a+9)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$4$ |
\( 2 \) |
$1$ |
$3.410590199$ |
0.622078526 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 722.1-d1 |
722.1-d |
$3$ |
$9$ |
\(\Q(\sqrt{-26}) \) |
$2$ |
$[0, 1]$ |
722.1 |
\( 2 \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$4.72378$ |
$(2,a), (19)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$9$ |
\( 2 \) |
$1$ |
$3.410590199$ |
1.337743537 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 722.1-d1 |
722.1-d |
$3$ |
$9$ |
\(\Q(\sqrt{-30}) \) |
$2$ |
$[0, 1]$ |
722.1 |
\( 2 \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$5.07415$ |
$(2,a), (19)$ |
$0 \le r \le 2$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$16$ |
\( 2 \) |
$1$ |
$3.410590199$ |
2.213993702 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 38.1-a1 |
38.1-a |
$3$ |
$9$ |
\(\Q(\sqrt{-38}) \) |
$2$ |
$[0, 1]$ |
38.1 |
\( 2 \cdot 19 \) |
\( 2^{6} \cdot 19^{2} \) |
$2.73531$ |
$(2,a), (19,a)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cn, 3Cs.1.1 |
$9$ |
\( 2^{2} \) |
$1$ |
$3.410590199$ |
2.213083156 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 1444.1-a1 |
1444.1-a |
$3$ |
$9$ |
\(\Q(\sqrt{-163}) \) |
$2$ |
$[0, 1]$ |
1444.1 |
\( 2^{2} \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$7.03273$ |
$(2), (19)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 3 \) |
$16.34721341$ |
$3.410590199$ |
5.822616765 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 38.1-g1 |
38.1-g |
$3$ |
$9$ |
\(\Q(\sqrt{-57}) \) |
$2$ |
$[0, 1]$ |
38.1 |
\( 2 \cdot 19 \) |
\( 2^{6} \cdot 19^{2} \) |
$3.35005$ |
$(2,a+1), (19,a)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2^{2} \) |
$1$ |
$3.410590199$ |
0.200774981 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 76.2-c1 |
76.2-c |
$3$ |
$9$ |
\(\Q(\sqrt{-247}) \) |
$2$ |
$[0, 1]$ |
76.2 |
\( 2^{2} \cdot 19 \) |
\( 2^{6} \cdot 19^{2} \) |
$4.14658$ |
$(2,a), (2,a+1), (19,a+9)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$9$ |
\( 2 \) |
$1$ |
$3.410590199$ |
0.868042630 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 76.1-c1 |
76.1-c |
$3$ |
$9$ |
\(\Q(\sqrt{-323}) \) |
$2$ |
$[0, 1]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{6} \cdot 19^{2} \) |
$4.74180$ |
$(19,a+9), (2)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$18.97820548$ |
$3.410590199$ |
9.604000089 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 76.2-d1 |
76.2-d |
$3$ |
$9$ |
\(\Q(\sqrt{-399}) \) |
$2$ |
$[0, 1]$ |
76.2 |
\( 2^{2} \cdot 19 \) |
\( 2^{6} \cdot 19^{2} \) |
$5.27022$ |
$(2,a), (2,a+1), (19,a+9)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$25$ |
\( 2 \) |
$1$ |
$3.410590199$ |
1.897145248 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 38.1-c1 |
38.1-c |
$3$ |
$9$ |
\(\Q(\sqrt{-114}) \) |
$2$ |
$[0, 1]$ |
38.1 |
\( 2 \cdot 19 \) |
\( 2^{6} \cdot 19^{2} \) |
$4.73769$ |
$(2,a), (19,a)$ |
$0 \le r \le 2$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$16$ |
\( 2^{2} \) |
$1$ |
$3.410590199$ |
2.271509610 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 38.1-b1 |
38.1-b |
$3$ |
$9$ |
\(\Q(\sqrt{-133}) \) |
$2$ |
$[0, 1]$ |
38.1 |
\( 2 \cdot 19 \) |
\( 2^{6} \cdot 19^{2} \) |
$5.11729$ |
$(2,a+1), (19,a)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$4$ |
\( 2^{2} \) |
$1$ |
$6.821180399$ |
0.525752313 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 76.2-b1 |
76.2-b |
$3$ |
$9$ |
\(\Q(\sqrt{-551}) \) |
$2$ |
$[0, 1]$ |
76.2 |
\( 2^{2} \cdot 19 \) |
\( 2^{6} \cdot 19^{2} \) |
$6.19324$ |
$(2,a), (2,a+1), (19,a+9)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \) |
$1$ |
$6.821180399$ |
0.064576012 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 76.1-e1 |
76.1-e |
$3$ |
$9$ |
\(\Q(\sqrt{-627}) \) |
$2$ |
$[0, 1]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{6} \cdot 19^{2} \) |
$6.60657$ |
$(19,a+9), (2)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$28.75728205$ |
$6.821180399$ |
10.44509366 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 76.2-a1 |
76.2-a |
$3$ |
$9$ |
\(\Q(\sqrt{-703}) \) |
$2$ |
$[0, 1]$ |
76.2 |
\( 2^{2} \cdot 19 \) |
\( 2^{6} \cdot 19^{2} \) |
$6.99551$ |
$(2,a), (2,a+1), (19,a+9)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$4$ |
\( 2 \) |
$1$ |
$6.821180399$ |
0.228680614 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 38.1-c1 |
38.1-c |
$3$ |
$9$ |
\(\Q(\sqrt{-190}) \) |
$2$ |
$[0, 1]$ |
38.1 |
\( 2 \cdot 19 \) |
\( 2^{6} \cdot 19^{2} \) |
$6.11633$ |
$(2,a), (19,a)$ |
$0 \le r \le 2$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$16$ |
\( 2^{2} \) |
$1$ |
$6.821180399$ |
1.759503778 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 76.1-d1 |
76.1-d |
$3$ |
$9$ |
\(\Q(\sqrt{-779}) \) |
$2$ |
$[0, 1]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{6} \cdot 19^{2} \) |
$7.36395$ |
$(19,a+9), (2)$ |
$0 \le r \le 1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
|
\( 2 \cdot 3 \) |
$1$ |
$6.821180399$ |
15.57004751 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 38.1-d1 |
38.1-d |
$3$ |
$9$ |
\(\Q(\sqrt{-209}) \) |
$2$ |
$[0, 1]$ |
38.1 |
\( 2 \cdot 19 \) |
\( 2^{6} \cdot 19^{2} \) |
$6.41487$ |
$(2,a+1), (19,a)$ |
$0 \le r \le 2$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$16$ |
\( 2^{2} \) |
$1$ |
$6.821180399$ |
1.677621028 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3-16{x}+22$ |
| 1444.1-b1 |
1444.1-b |
$3$ |
$9$ |
\(\Q(\sqrt{5}) \) |
$2$ |
$[2, 0]$ |
1444.1 |
\( 2^{2} \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$1.23173$ |
$(4a-3), (-4a+1), (2)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 3 \) |
$0.188760387$ |
$32.17041206$ |
1.810469536 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-16{x}+22$ |
| 722.1-b1 |
722.1-b |
$3$ |
$9$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
722.1 |
\( 2 \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$1.31014$ |
$(a), (19)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 2 \) |
$0.278258698$ |
$32.17041206$ |
1.406623475 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-16{x}+22$ |
| 722.1-a1 |
722.1-a |
$3$ |
$9$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
722.1 |
\( 2 \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$1.60459$ |
$(a+1), (19)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 2 \) |
$0.504387587$ |
$32.17041206$ |
2.081842512 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-16{x}+22$ |
| 1444.1-b1 |
1444.1-b |
$3$ |
$9$ |
\(\Q(\sqrt{13}) \) |
$2$ |
$[2, 0]$ |
1444.1 |
\( 2^{2} \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$1.98610$ |
$(2), (19)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 3 \) |
$1$ |
$32.17041206$ |
2.974155647 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-16{x}+22$ |
| 1444.1-c1 |
1444.1-c |
$3$ |
$9$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1444.1 |
\( 2^{2} \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$2.52429$ |
$(2), (19)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 3 \) |
$1$ |
$32.17041206$ |
2.340053149 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-16{x}+22$ |
| 722.1-b1 |
722.1-b |
$3$ |
$9$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
722.1 |
\( 2 \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$2.26923$ |
$(-a+2), (a+5), (a-5)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 2 \) |
$1$ |
$32.17041206$ |
1.459279525 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-16{x}+22$ |
| 1444.1-b1 |
1444.1-b |
$3$ |
$9$ |
\(\Q(\sqrt{53}) \) |
$2$ |
$[2, 0]$ |
1444.1 |
\( 2^{2} \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{2} \) |
$4.01022$ |
$(2), (19)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 3 \) |
$1$ |
$32.17041206$ |
1.472981981 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-16{x}+22$ |
| 76.1-j1 |
76.1-j |
$3$ |
$9$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{6} \cdot 19^{2} \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 2 \) |
$0.986939083$ |
$32.17041206$ |
1.869076276 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-16{x}+22$ |
| 38.1-a1 |
38.1-a |
$3$ |
$9$ |
\(\Q(\sqrt{19}) \) |
$2$ |
$[2, 0]$ |
38.1 |
\( 2 \cdot 19 \) |
\( 2^{6} \cdot 19^{2} \) |
$1.93415$ |
$(-3a+13), (a)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 2^{2} \) |
$0.919249347$ |
$32.17041206$ |
3.015300745 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-16{x}+22$ |
| 38.1-a1 |
38.1-a |
$3$ |
$9$ |
\(\Q(\sqrt{38}) \) |
$2$ |
$[2, 0]$ |
38.1 |
\( 2 \cdot 19 \) |
\( 2^{6} \cdot 19^{2} \) |
$2.73531$ |
$(-a-6), (3a-19)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 2^{2} \) |
$1.083080177$ |
$32.17041206$ |
2.512134654 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-16{x}+22$ |
| 152.1-b2 |
152.1-b |
$3$ |
$9$ |
3.3.361.1 |
$3$ |
$[3, 0]$ |
152.1 |
\( 2^{3} \cdot 19 \) |
\( - 2^{9} \cdot 19^{3} \) |
$3.92223$ |
$(a^2-a-4), (2)$ |
$2$ |
$\Z/9\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 3 \) |
$1.039008831$ |
$182.4672536$ |
3.326054175 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-16{x}+22$ |
*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.
