| 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 |
| 76.1-a1 |
76.1-a |
$2$ |
$5$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{2} \cdot 19^{10} \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$5$ |
5B.1.2 |
$25$ |
\( 2 \) |
$1$ |
$0.671163407$ |
4.444888249 |
\( -\frac{37966934881}{4952198} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -70\) , \( -279\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-70{x}-279$ |
| 76.1-a2 |
76.1-a |
$2$ |
$5$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{10} \cdot 19^{2} \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 2 \cdot 5^{2} \) |
$1$ |
$16.77908518$ |
4.444888249 |
\( -\frac{1}{608} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 0\) , \( 1\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+1$ |
| 76.1-b1 |
76.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( - 2^{5} \cdot 19 \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$26.71213644$ |
1.769054452 |
\( -\frac{16126047}{304} a + \frac{69457581}{304} \) |
\( \bigl[1\) , \( -a + 1\) , \( 0\) , \( 29595 a + 96928\) , \( -570697 a - 1868982\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(29595a+96928\right){x}-570697a-1868982$ |
| 76.1-b2 |
76.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{4} \cdot 19^{2} \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$26.71213644$ |
1.769054452 |
\( \frac{132651}{76} \) |
\( \bigl[1\) , \( -a + 1\) , \( 0\) , \( -43 a - 134\) , \( 13 a + 46\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-43a-134\right){x}+13a+46$ |
| 76.1-b3 |
76.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{2} \cdot 19^{4} \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$13.35606822$ |
1.769054452 |
\( \frac{149721291}{722} \) |
\( \bigl[1\) , \( -a + 1\) , \( 0\) , \( -443 a - 1444\) , \( 10249 a + 33568\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-443a-1444\right){x}+10249a+33568$ |
| 76.1-b4 |
76.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( - 2^{5} \cdot 19 \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$13.35606822$ |
1.769054452 |
\( \frac{16126047}{304} a + \frac{26665767}{152} \) |
\( \bigl[1\) , \( -a + 1\) , \( 0\) , \( -a + 6\) , \( -a + 4\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-a+6\right){x}-a+4$ |
| 76.1-c1 |
76.1-c |
$2$ |
$3$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{30} \cdot 19^{3} \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.2 |
$1$ |
\( 3^{2} \) |
$1$ |
$1.581278536$ |
1.885009127 |
\( -\frac{17294412401075}{48452599808} a + \frac{5162129398993}{24226299904} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -17724 a - 58043\) , \( -3768583 a - 12341797\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-17724a-58043\right){x}-3768583a-12341797$ |
| 76.1-c2 |
76.1-c |
$2$ |
$3$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{18} \cdot 19 \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 3^{2} \) |
$1$ |
$14.23150682$ |
1.885009127 |
\( \frac{27717825}{4864} a - \frac{228749339}{9728} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 1791 a + 5867\) , \( 78757 a + 257923\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(1791a+5867\right){x}+78757a+257923$ |
| 76.1-d1 |
76.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( - 2^{5} \cdot 19 \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$13.35606822$ |
1.769054452 |
\( -\frac{16126047}{304} a + \frac{69457581}{304} \) |
\( \bigl[1\) , \( a\) , \( 0\) , \( a + 5\) , \( a + 3\bigr] \) |
${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(a+5\right){x}+a+3$ |
| 76.1-d2 |
76.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{4} \cdot 19^{2} \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$26.71213644$ |
1.769054452 |
\( \frac{132651}{76} \) |
\( \bigl[1\) , \( a\) , \( 0\) , \( 43 a - 177\) , \( -13 a + 59\bigr] \) |
${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(43a-177\right){x}-13a+59$ |
| 76.1-d3 |
76.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{2} \cdot 19^{4} \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$13.35606822$ |
1.769054452 |
\( \frac{149721291}{722} \) |
\( \bigl[1\) , \( a\) , \( 0\) , \( 443 a - 1887\) , \( -10249 a + 43817\bigr] \) |
${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(443a-1887\right){x}-10249a+43817$ |
| 76.1-d4 |
76.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( - 2^{5} \cdot 19 \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$26.71213644$ |
1.769054452 |
\( \frac{16126047}{304} a + \frac{26665767}{152} \) |
\( \bigl[1\) , \( a\) , \( 0\) , \( -29595 a + 126523\) , \( 570697 a - 2439679\bigr] \) |
${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(-29595a+126523\right){x}+570697a-2439679$ |
| 76.1-e1 |
76.1-e |
$3$ |
$9$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{6} \cdot 19^{2} \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.2 |
$1$ |
\( 2 \cdot 3^{2} \) |
$0.774675563$ |
$1.446313524$ |
5.342535012 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( -a\) , \( a\) , \( -187492 a - 614015\) , \( -85635502 a - 280449181\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-187492a-614015\right){x}-85635502a-280449181$ |
| 76.1-e2 |
76.1-e |
$3$ |
$9$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{54} \cdot 19^{2} \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 2 \cdot 3^{6} \) |
$0.086075062$ |
$1.446313524$ |
5.342535012 |
\( -\frac{69173457625}{2550136832} \) |
\( \bigl[1\) , \( -a\) , \( a\) , \( -1033092 a - 3383285\) , \( 8934259648 a + 29258960747\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-1033092a-3383285\right){x}+8934259648a+29258960747$ |
| 76.1-e3 |
76.1-e |
$3$ |
$9$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{18} \cdot 19^{6} \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \cdot 3^{5} \) |
$0.258225187$ |
$1.446313524$ |
5.342535012 |
\( \frac{94196375}{3511808} \) |
\( \bigl[1\) , \( -a\) , \( a\) , \( 114508 a + 375010\) , \( -326512587 a - 1069301694\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(114508a+375010\right){x}-326512587a-1069301694$ |
| 76.1-f1 |
76.1-f |
$2$ |
$5$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{2} \cdot 19^{10} \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$5$ |
5B.4.2 |
$1$ |
\( 2 \) |
$1$ |
$5.550558930$ |
1.470378980 |
\( -\frac{37966934881}{4952198} \) |
\( \bigl[1\) , \( a + 1\) , \( a\) , \( -845851 a - 2770089\) , \( 909184427 a + 2977503731\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-845851a-2770089\right){x}+909184427a+2977503731$ |
| 76.1-f2 |
76.1-f |
$2$ |
$5$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{10} \cdot 19^{2} \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$5$ |
5B.4.1 |
$1$ |
\( 2 \) |
$1$ |
$5.550558930$ |
1.470378980 |
\( -\frac{1}{608} \) |
\( \bigl[1\) , \( a + 1\) , \( a\) , \( -251 a - 819\) , \( -4328383 a - 14175099\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-251a-819\right){x}-4328383a-14175099$ |
| 76.1-g1 |
76.1-g |
$2$ |
$3$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{30} \cdot 19^{3} \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 3^{4} \) |
$1$ |
$3.371723758$ |
4.019361495 |
\( -\frac{17294412401075}{48452599808} a + \frac{5162129398993}{24226299904} \) |
\( \bigl[1\) , \( -a\) , \( 1\) , \( -93 a + 401\) , \( 365 a - 1560\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-93a+401\right){x}+365a-1560$ |
| 76.1-g2 |
76.1-g |
$2$ |
$3$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{18} \cdot 19 \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.2 |
$1$ |
\( 3^{2} \) |
$1$ |
$3.371723758$ |
4.019361495 |
\( \frac{27717825}{4864} a - \frac{228749339}{9728} \) |
\( \bigl[1\) , \( -a\) , \( 1\) , \( 22 a - 89\) , \( 135 a - 580\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(22a-89\right){x}+135a-580$ |
| 76.1-h1 |
76.1-h |
$2$ |
$3$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{18} \cdot 19 \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 3^{2} \) |
$1$ |
$14.23150682$ |
1.885009127 |
\( -\frac{27717825}{4864} a - \frac{173313689}{9728} \) |
\( \bigl[1\) , \( a + 1\) , \( 0\) , \( -1789 a + 7658\) , \( -80547 a + 344338\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-1789a+7658\right){x}-80547a+344338$ |
| 76.1-h2 |
76.1-h |
$2$ |
$3$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{30} \cdot 19^{3} \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.2 |
$1$ |
\( 3^{2} \) |
$1$ |
$1.581278536$ |
1.885009127 |
\( \frac{17294412401075}{48452599808} a - \frac{6970153603089}{48452599808} \) |
\( \bigl[1\) , \( a + 1\) , \( 0\) , \( 17726 a - 75767\) , \( 3786308 a - 16186147\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(17726a-75767\right){x}+3786308a-16186147$ |
| 76.1-i1 |
76.1-i |
$2$ |
$3$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{18} \cdot 19 \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.2 |
$1$ |
\( 3^{2} \) |
$1$ |
$3.371723758$ |
4.019361495 |
\( -\frac{27717825}{4864} a - \frac{173313689}{9728} \) |
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( -22 a - 67\) , \( -135 a - 445\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-22a-67\right){x}-135a-445$ |
| 76.1-i2 |
76.1-i |
$2$ |
$3$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{30} \cdot 19^{3} \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 3^{4} \) |
$1$ |
$3.371723758$ |
4.019361495 |
\( \frac{17294412401075}{48452599808} a - \frac{6970153603089}{48452599808} \) |
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( 93 a + 308\) , \( -365 a - 1195\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(93a+308\right){x}-365a-1195$ |
| 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 |
\( -\frac{413493625}{152} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-16{x}+22$ |
| 76.1-j2 |
76.1-j |
$3$ |
$9$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{54} \cdot 19^{2} \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.2 |
$1$ |
\( 2 \) |
$8.882451747$ |
$0.397165580$ |
1.869076276 |
\( -\frac{69173457625}{2550136832} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -86\) , \( -2456\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-86{x}-2456$ |
| 76.1-j3 |
76.1-j |
$3$ |
$9$ |
\(\Q(\sqrt{57}) \) |
$2$ |
$[2, 0]$ |
76.1 |
\( 2^{2} \cdot 19 \) |
\( 2^{18} \cdot 19^{6} \) |
$1.99195$ |
$(a-4), (a+3), (10a-43)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$2.960817249$ |
$3.574490228$ |
1.869076276 |
\( \frac{94196375}{3511808} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( 9\) , \( 90\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+9{x}+90$ |
*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.
