| 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 |
| 1922.1-a1 |
1922.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( - 2^{4} \cdot 31^{9} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$0.310085779$ |
$0.897244774$ |
3.541198686 |
\( -\frac{212310442674875}{1775007362} a - \frac{592069511928125}{3550014724} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 103 a - 226\) , \( 458 a - 873\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(103a-226\right){x}+458a-873$ |
| 1922.1-a2 |
1922.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( - 2^{12} \cdot 31^{3} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.930257337$ |
$8.075202974$ |
3.541198686 |
\( -\frac{119136780625}{30752} a + \frac{336994967875}{61504} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 25 a + 32\) , \( -128 a - 173\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(25a+32\right){x}-128a-173$ |
| 1922.1-a3 |
1922.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( 2^{6} \cdot 31^{3} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$1.860514674$ |
$8.075202974$ |
3.541198686 |
\( -\frac{326344984766823375}{7688} a + \frac{461521503512929375}{7688} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -175 a - 328\) , \( -1808 a - 2205\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-175a-328\right){x}-1808a-2205$ |
| 1922.1-a4 |
1922.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( 2^{2} \cdot 31^{9} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$0.620171558$ |
$0.897244774$ |
3.541198686 |
\( \frac{71135350322288014125}{1775007362} a + \frac{100600666083814335625}{1775007362} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 533 a - 2056\) , \( -25762 a + 19263\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(533a-2056\right){x}-25762a+19263$ |
| 1922.1-b1 |
1922.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( - 2^{2} \cdot 31^{5} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$7.979009261$ |
2.821005777 |
\( -\frac{1246590}{29791} a + \frac{99486927}{59582} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( 8 a - 7\) , \( -2 a + 5\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(8a-7\right){x}-2a+5$ |
| 1922.1-b2 |
1922.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( 2 \cdot 31^{7} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 2 \) |
$1$ |
$3.989504630$ |
2.821005777 |
\( -\frac{193649285546973}{1775007362} a + \frac{138574952301330}{887503681} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -76 a - 114\) , \( -95 a - 139\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-76a-114\right){x}-95a-139$ |
| 1922.1-c1 |
1922.1-c |
$6$ |
$8$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( 2^{8} \cdot 31^{2} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.509209228$ |
$19.66889363$ |
3.541043031 |
\( -\frac{35937}{496} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -1\) , \( 1\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-{x}+1$ |
| 1922.1-c2 |
1922.1-c |
$6$ |
$8$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( - 2 \cdot 31^{10} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$4.073673831$ |
$1.229305851$ |
3.541043031 |
\( -\frac{194892158021341473}{1705782074882} a + \frac{139281368709237480}{852891037441} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( 165 a - 111\) , \( 818 a - 1207\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(165a-111\right){x}+818a-1207$ |
| 1922.1-c3 |
1922.1-c |
$6$ |
$8$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( 2^{2} \cdot 31^{8} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$2.036836915$ |
$4.917223407$ |
3.541043031 |
\( \frac{3196010817}{1847042} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -31\) , \( 5\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-31{x}+5$ |
| 1922.1-c4 |
1922.1-c |
$6$ |
$8$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( 2^{4} \cdot 31^{4} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1.018418457$ |
$19.66889363$ |
3.541043031 |
\( \frac{979146657}{3844} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -21\) , \( 41\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-21{x}+41$ |
| 1922.1-c5 |
1922.1-c |
$6$ |
$8$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( - 2 \cdot 31^{10} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$4.073673831$ |
$1.229305851$ |
3.541043031 |
\( \frac{194892158021341473}{1705782074882} a + \frac{139281368709237480}{852891037441} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -165 a - 111\) , \( -818 a - 1207\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-165a-111\right){x}-818a-1207$ |
| 1922.1-c6 |
1922.1-c |
$6$ |
$8$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( 2^{2} \cdot 31^{2} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2 \) |
$2.036836915$ |
$19.66889363$ |
3.541043031 |
\( \frac{3999236143617}{62} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -331\) , \( 2397\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-331{x}+2397$ |
| 1922.1-d1 |
1922.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( 2 \cdot 31^{6} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$9.276925913$ |
3.279888610 |
\( \frac{26995801}{1847042} a + \frac{1909656797}{923521} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( 1\) , \( 4 a - 8\) , \( a - 5\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(4a-8\right){x}+a-5$ |
| 1922.1-d2 |
1922.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( - 2^{2} \cdot 31^{3} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$9.276925913$ |
3.279888610 |
\( \frac{24427501}{961} a + \frac{71882659}{1922} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( 1\) , \( -a + 2\) , \( -a - 3\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-a+2\right){x}-a-3$ |
| 1922.1-e1 |
1922.1-e |
$2$ |
$2$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( - 2^{34} \cdot 31^{3} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 17 \) |
$1$ |
$0.429760604$ |
2.583036418 |
\( \frac{158736412667028883}{31490048} a - \frac{897948384977908271}{125960192} \) |
\( \bigl[a + 1\) , \( -a\) , \( a\) , \( 1564 a - 2470\) , \( 44758 a - 62296\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(1564a-2470\right){x}+44758a-62296$ |
| 1922.1-e2 |
1922.1-e |
$2$ |
$2$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( 2^{17} \cdot 31^{3} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 2 \cdot 17 \) |
$1$ |
$0.214880302$ |
2.583036418 |
\( -\frac{35362640669500488675852739}{492032} a + \frac{12502581509033498183887951}{123008} \) |
\( \bigl[1\) , \( 0\) , \( a\) , \( -19672 a - 30025\) , \( -1828907 a - 2626511\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-19672a-30025\right){x}-1828907a-2626511$ |
| 1922.1-f1 |
1922.1-f |
$2$ |
$2$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( - 2^{34} \cdot 31^{3} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 17 \) |
$1$ |
$0.429760604$ |
2.583036418 |
\( -\frac{158736412667028883}{31490048} a - \frac{897948384977908271}{125960192} \) |
\( \bigl[a + 1\) , \( 0\) , \( a\) , \( -1565 a - 2470\) , \( -44758 a - 62296\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-1565a-2470\right){x}-44758a-62296$ |
| 1922.1-f2 |
1922.1-f |
$2$ |
$2$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( 2^{17} \cdot 31^{3} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 2 \cdot 17 \) |
$1$ |
$0.214880302$ |
2.583036418 |
\( \frac{35362640669500488675852739}{492032} a + \frac{12502581509033498183887951}{123008} \) |
\( \bigl[1\) , \( 0\) , \( a\) , \( 19671 a - 30025\) , \( 1828907 a - 2626511\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(19671a-30025\right){x}+1828907a-2626511$ |
| 1922.1-g1 |
1922.1-g |
$4$ |
$6$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( - 2^{4} \cdot 31^{9} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$0.310085779$ |
$0.897244774$ |
3.541198686 |
\( \frac{212310442674875}{1775007362} a - \frac{592069511928125}{3550014724} \) |
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( -103 a - 226\) , \( -458 a - 873\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-103a-226\right){x}-458a-873$ |
| 1922.1-g2 |
1922.1-g |
$4$ |
$6$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( 2^{2} \cdot 31^{9} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$0.620171558$ |
$0.897244774$ |
3.541198686 |
\( -\frac{71135350322288014125}{1775007362} a + \frac{100600666083814335625}{1775007362} \) |
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( -533 a - 2056\) , \( 25762 a + 19263\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-533a-2056\right){x}+25762a+19263$ |
| 1922.1-g3 |
1922.1-g |
$4$ |
$6$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( - 2^{12} \cdot 31^{3} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.930257337$ |
$8.075202974$ |
3.541198686 |
\( \frac{119136780625}{30752} a + \frac{336994967875}{61504} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( -27 a + 33\) , \( 160 a - 225\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-27a+33\right){x}+160a-225$ |
| 1922.1-g4 |
1922.1-g |
$4$ |
$6$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( 2^{6} \cdot 31^{3} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$1.860514674$ |
$8.075202974$ |
3.541198686 |
\( \frac{326344984766823375}{7688} a + \frac{461521503512929375}{7688} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( 173 a - 327\) , \( 1480 a - 1857\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(173a-327\right){x}+1480a-1857$ |
| 1922.1-h1 |
1922.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( - 2^{2} \cdot 31^{5} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$7.979009261$ |
2.821005777 |
\( \frac{1246590}{29791} a + \frac{99486927}{59582} \) |
\( \bigl[a + 1\) , \( a\) , \( a\) , \( -7 a - 8\) , \( -6 a - 10\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-7a-8\right){x}-6a-10$ |
| 1922.1-h2 |
1922.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( 2 \cdot 31^{7} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 2 \) |
$1$ |
$3.989504630$ |
2.821005777 |
\( \frac{193649285546973}{1775007362} a + \frac{138574952301330}{887503681} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( 76 a - 114\) , \( 95 a - 139\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(76a-114\right){x}+95a-139$ |
| 1922.1-i1 |
1922.1-i |
$2$ |
$2$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( - 2^{2} \cdot 31^{3} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$9.276925913$ |
3.279888610 |
\( -\frac{24427501}{961} a + \frac{71882659}{1922} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 3 a + 1\) , \( 2 a + 1\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(3a+1\right){x}+2a+1$ |
| 1922.1-i2 |
1922.1-i |
$2$ |
$2$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1922.1 |
\( 2 \cdot 31^{2} \) |
\( 2 \cdot 31^{6} \) |
$1.67349$ |
$(a), (-4a-1), (4a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$9.276925913$ |
3.279888610 |
\( -\frac{26995801}{1847042} a + \frac{1909656797}{923521} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -2 a - 9\) , \( -10 a - 11\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-2a-9\right){x}-10a-11$ |
*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.
