| 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 |
| 2.1-a1 |
2.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
2.1 |
\( 2 \) |
\( - 2^{4} \) |
$1.99656$ |
$(-a+10)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$3.373495378$ |
$32.90561533$ |
2.954151662 |
\( -\frac{289}{16} a + \frac{30249}{16} \) |
\( \bigl[1\) , \( a\) , \( a\) , \( 101052 a - 999794\) , \( -21565120 a + 213368484\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(101052a-999794\right){x}-21565120a+213368484$ |
| 2.1-a2 |
2.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
2.1 |
\( 2 \) |
\( 2^{2} \) |
$1.99656$ |
$(-a+10)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2 \) |
$6.746990757$ |
$32.90561533$ |
2.954151662 |
\( -\frac{16269}{4} a + \frac{167945}{4} \) |
\( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( -60675358 a - 539655522\) , \( 76353148484 a + 679096135259\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-60675358a-539655522\right){x}+76353148484a+679096135259$ |
| 2.1-a3 |
2.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
2.1 |
\( 2 \) |
\( 2 \) |
$1.99656$ |
$(-a+10)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 1 \) |
$13.49398151$ |
$8.226403833$ |
2.954151662 |
\( -\frac{637927423}{2} a + \frac{6312166921}{2} \) |
\( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( -632925273 a - 5629330452\) , \( -26454079148421 a - 235286471712173\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-632925273a-5629330452\right){x}-26454079148421a-235286471712173$ |
| 2.1-a4 |
2.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
2.1 |
\( 2 \) |
\( -2 \) |
$1.99656$ |
$(-a+10)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 1 \) |
$3.373495378$ |
$32.90561533$ |
2.954151662 |
\( \frac{42339}{2} a + \frac{376567}{2} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -5498 a - 48900\) , \( 676371 a + 6015743\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(-5498a-48900\right){x}+676371a+6015743$ |
| 2.2-a1 |
2.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
2.2 |
\( 2 \) |
\( -2 \) |
$1.99656$ |
$(a+9)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 1 \) |
$3.373495378$ |
$32.90561533$ |
2.954151662 |
\( -\frac{42339}{2} a + 209453 \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 5498 a - 54398\) , \( -676371 a + 6692114\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(5498a-54398\right){x}-676371a+6692114$ |
| 2.2-a2 |
2.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
2.2 |
\( 2 \) |
\( - 2^{4} \) |
$1.99656$ |
$(a+9)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$3.373495378$ |
$32.90561533$ |
2.954151662 |
\( \frac{289}{16} a + \frac{3745}{2} \) |
\( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( -101053 a - 898742\) , \( 21565119 a + 191803364\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-101053a-898742\right){x}+21565119a+191803364$ |
| 2.2-a3 |
2.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
2.2 |
\( 2 \) |
\( 2^{2} \) |
$1.99656$ |
$(a+9)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2 \) |
$6.746990757$ |
$32.90561533$ |
2.954151662 |
\( \frac{16269}{4} a + 37919 \) |
\( \bigl[1\) , \( a\) , \( a\) , \( 60675357 a - 600330879\) , \( -76353148485 a + 755449283744\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(60675357a-600330879\right){x}-76353148485a+755449283744$ |
| 2.2-a4 |
2.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
2.2 |
\( 2 \) |
\( 2 \) |
$1.99656$ |
$(a+9)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 1 \) |
$13.49398151$ |
$8.226403833$ |
2.954151662 |
\( \frac{637927423}{2} a + 2837119749 \) |
\( \bigl[1\) , \( a\) , \( a\) , \( 632925272 a - 6262255724\) , \( 26454079148420 a - 261740550860593\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(632925272a-6262255724\right){x}+26454079148420a-261740550860593$ |
| 4.1-a1 |
4.1-a |
$1$ |
$1$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( 2^{6} \) |
$2.37433$ |
$(-a+10), (a+9)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 1 \) |
$1.820107141$ |
$22.20900997$ |
4.302974733 |
\( -\frac{489}{32} a - \frac{541}{4} \) |
\( \bigl[1\) , \( -a\) , \( 0\) , \( 31\) , \( 2 a - 53\bigr] \) |
${y}^2+{x}{y}={x}^{3}-a{x}^{2}+31{x}+2a-53$ |
| 4.1-b1 |
4.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( - 2^{18} \) |
$2.37433$ |
$(-a+10), (a+9)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{5} \) |
$1$ |
$9.332631159$ |
3.973806689 |
\( -\frac{54172625}{65536} a + \frac{247051625}{65536} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( 680 a - 6728\) , \( -27132 a + 268448\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(680a-6728\right){x}-27132a+268448$ |
| 4.1-b2 |
4.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( - 2^{6} \) |
$2.37433$ |
$(-a+10), (a+9)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$16$ |
\( 2^{3} \) |
$1$ |
$2.333157789$ |
3.973806689 |
\( -\frac{583021405143125}{16} a + \frac{1442124888279875}{4} \) |
\( \bigl[1\) , \( a\) , \( a\) , \( 35247800 a + 313499148\) , \( -654754864303 a - 5823486086780\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(35247800a+313499148\right){x}-654754864303a-5823486086780$ |
| 4.1-b3 |
4.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( 2^{12} \) |
$2.37433$ |
$(-a+10), (a+9)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{5} \) |
$1$ |
$9.332631159$ |
3.973806689 |
\( -\frac{356445375}{256} a + \frac{441029125}{32} \) |
\( \bigl[1\) , \( a\) , \( a\) , \( -18914540 a - 168228672\) , \( -115464824435 a - 1026961135064\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-18914540a-168228672\right){x}-115464824435a-1026961135064$ |
| 4.1-b4 |
4.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( - 2^{18} \) |
$2.37433$ |
$(-a+10), (a+9)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{5} \) |
$1$ |
$9.332631159$ |
3.973806689 |
\( \frac{54172625}{65536} a + \frac{24109875}{8192} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -680 a - 6048\) , \( 27132 a + 241316\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-680a-6048\right){x}+27132a+241316$ |
| 4.1-b5 |
4.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( 2^{12} \) |
$2.37433$ |
$(-a+10), (a+9)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{5} \) |
$1$ |
$9.332631159$ |
3.973806689 |
\( \frac{356445375}{256} a + \frac{3171787625}{256} \) |
\( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( 18914539 a - 187143212\) , \( 115464824434 a - 1142425959499\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(18914539a-187143212\right){x}+115464824434a-1142425959499$ |
| 4.1-b6 |
4.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( - 2^{6} \) |
$2.37433$ |
$(-a+10), (a+9)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$16$ |
\( 2^{3} \) |
$1$ |
$2.333157789$ |
3.973806689 |
\( \frac{583021405143125}{16} a + \frac{5185478147976375}{16} \) |
\( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( -35247801 a + 348746948\) , \( 654754864302 a - 6478240951083\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-35247801a+348746948\right){x}+654754864302a-6478240951083$ |
| 4.1-c1 |
4.1-c |
$4$ |
$6$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( 2^{9} \) |
$2.37433$ |
$(-a+10), (a+9)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$9$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$25.84055434$ |
6.189092694 |
\( -\frac{85897}{64} a + \frac{1047913}{64} \) |
\( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( 9507795 a - 94071503\) , \( 47427515523 a - 469254815891\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(9507795a-94071503\right){x}+47427515523a-469254815891$ |
| 4.1-c2 |
4.1-c |
$4$ |
$6$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( 2^{9} \) |
$2.37433$ |
$(-a+10), (a+9)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$9$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$25.84055434$ |
6.189092694 |
\( \frac{85897}{64} a + \frac{30063}{2} \) |
\( \bigl[1\) , \( a\) , \( a\) , \( -9507796 a - 84563707\) , \( -47427515524 a - 421827300367\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-9507796a-84563707\right){x}-47427515524a-421827300367$ |
| 4.1-c3 |
4.1-c |
$4$ |
$6$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( 2^{3} \) |
$2.37433$ |
$(-a+10), (a+9)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$81$ |
\( 2 \) |
$1$ |
$2.871172705$ |
6.189092694 |
\( -\frac{4456504242575}{4} a + \frac{44093326894137}{4} \) |
\( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( 763480625 a - 7553989603\) , \( 35198217928201 a - 348256346333291\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(763480625a-7553989603\right){x}+35198217928201a-348256346333291$ |
| 4.1-c4 |
4.1-c |
$4$ |
$6$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( 2^{3} \) |
$2.37433$ |
$(-a+10), (a+9)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$81$ |
\( 2 \) |
$1$ |
$2.871172705$ |
6.189092694 |
\( \frac{4456504242575}{4} a + \frac{19818411325781}{2} \) |
\( \bigl[1\) , \( a\) , \( a\) , \( -763480626 a - 6790508977\) , \( -35198217928202 a - 313058128405089\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-763480626a-6790508977\right){x}-35198217928202a-313058128405089$ |
| 4.1-d1 |
4.1-d |
$1$ |
$1$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( 2^{6} \) |
$2.37433$ |
$(-a+10), (a+9)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 1 \) |
$1.820107141$ |
$22.20900997$ |
4.302974733 |
\( \frac{489}{32} a - \frac{4817}{32} \) |
\( \bigl[1\) , \( a - 1\) , \( 0\) , \( 31\) , \( -2 a - 51\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+31{x}-2a-51$ |
| 8.1-a1 |
8.1-a |
$1$ |
$1$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
8.1 |
\( 2^{3} \) |
\( - 2^{18} \) |
$2.82357$ |
$(-a+10), (a+9)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \) |
$1.109866622$ |
$14.91487102$ |
3.524219349 |
\( -\frac{13635259433}{16384} a + \frac{16866949573}{2048} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( 152474 a - 1508278\) , \( -98806267 a + 977605093\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(152474a-1508278\right){x}-98806267a+977605093$ |
| 8.1-b1 |
8.1-b |
$1$ |
$1$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
8.1 |
\( 2^{3} \) |
\( - 2^{8} \) |
$2.82357$ |
$(-a+10), (a+9)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2^{2} \) |
$1$ |
$19.11413620$ |
4.069371274 |
\( -\frac{1745}{16} a + \frac{2509}{2} \) |
\( \bigl[a\) , \( a\) , \( a\) , \( 5217 a - 51273\) , \( 314380 a - 3109043\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(5217a-51273\right){x}+314380a-3109043$ |
| 8.2-a1 |
8.2-a |
$1$ |
$1$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
8.2 |
\( 2^{3} \) |
\( - 2^{18} \) |
$2.82357$ |
$(-a+10), (a+9)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \) |
$1.109866622$ |
$14.91487102$ |
3.524219349 |
\( \frac{13635259433}{16384} a + \frac{121300337151}{16384} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -152431 a - 1355760\) , \( 97298032 a + 865383006\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-152431a-1355760\right){x}+97298032a+865383006$ |
| 8.2-b1 |
8.2-b |
$1$ |
$1$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
8.2 |
\( 2^{3} \) |
\( - 2^{8} \) |
$2.82357$ |
$(-a+10), (a+9)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2^{2} \) |
$1$ |
$19.11413620$ |
4.069371274 |
\( \frac{1745}{16} a + \frac{18327}{16} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -5172 a - 46012\) , \( -365609 a - 3251779\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-5172a-46012\right){x}-365609a-3251779$ |
| 11.1-a1 |
11.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
11.1 |
\( 11 \) |
\( - 11^{2} \) |
$3.05755$ |
$(-10a+99)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$17.21468544$ |
0.458122627 |
\( -\frac{21250}{121} a + \frac{209713}{121} \) |
\( \bigl[1\) , \( a + 1\) , \( 1\) , \( -38 a - 319\) , \( -8217 a - 73100\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-38a-319\right){x}-8217a-73100$ |
| 11.1-a2 |
11.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
11.1 |
\( 11 \) |
\( 11 \) |
$3.05755$ |
$(-10a+99)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 1 \) |
$1$ |
$34.42937088$ |
0.458122627 |
\( \frac{42050}{11} a + \frac{652281}{11} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( a + 27\) , \( -3 a - 14\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(a+27\right){x}-3a-14$ |
| 11.2-a1 |
11.2-a |
$2$ |
$2$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
11.2 |
\( 11 \) |
\( - 11^{2} \) |
$3.05755$ |
$(10a+89)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$17.21468544$ |
0.458122627 |
\( \frac{21250}{121} a + \frac{17133}{11} \) |
\( \bigl[1\) , \( -a - 1\) , \( 0\) , \( 40 a - 358\) , \( 8178 a - 80959\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(40a-358\right){x}+8178a-80959$ |
| 11.2-a2 |
11.2-a |
$2$ |
$2$ |
\(\Q(\sqrt{353}) \) |
$2$ |
$[2, 0]$ |
11.2 |
\( 11 \) |
\( 11 \) |
$3.05755$ |
$(10a+89)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 1 \) |
$1$ |
$34.42937088$ |
0.458122627 |
\( -\frac{42050}{11} a + 63121 \) |
\( \bigl[1\) , \( a + 1\) , \( 0\) , \( a + 28\) , \( 3 a + 11\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a+28\right){x}+3a+11$ |
*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.
