| 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 |
| 1875.1-a1 |
1875.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{6} \cdot 5^{16} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$2.414911676$ |
3.161861586 |
\( \frac{11264744}{135} a - \frac{6288625}{27} \) |
\( \bigl[1\) , \( 0\) , \( a\) , \( 12 a - 13\) , \( -994 a - 1703\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(12a-13\right){x}-994a-1703$ |
| 1875.1-a2 |
1875.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{3} \cdot 5^{17} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$2.414911676$ |
3.161861586 |
\( -\frac{7206992216914}{225} a + \frac{4023359997391}{45} \) |
\( \bigl[1\) , \( 0\) , \( a\) , \( -738 a - 1888\) , \( -21619 a - 33578\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-738a-1888\right){x}-21619a-33578$ |
| 1875.1-b1 |
1875.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( - 3^{4} \cdot 5^{21} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.166497504$ |
$1.714940193$ |
3.492312776 |
\( -\frac{3220180901}{140625} a + \frac{1819167304}{28125} \) |
\( \bigl[1\) , \( 1\) , \( a + 1\) , \( 1262 a - 3513\) , \( -36032 a + 100561\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(1262a-3513\right){x}-36032a+100561$ |
| 1875.1-b2 |
1875.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{2} \cdot 5^{18} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.583248752$ |
$3.429880386$ |
3.492312776 |
\( \frac{136703}{375} a + \frac{64021}{25} \) |
\( \bigl[1\) , \( 1\) , \( a + 1\) , \( 137 a - 388\) , \( 468 a - 1314\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(137a-388\right){x}+468a-1314$ |
| 1875.1-c1 |
1875.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{6} \cdot 5^{16} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$2.449109149$ |
$1.005388833$ |
4.298555492 |
\( -\frac{11264744}{135} a - \frac{6726127}{45} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -178 a - 315\) , \( -2067 a - 3660\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-178a-315\right){x}-2067a-3660$ |
| 1875.1-c2 |
1875.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{3} \cdot 5^{17} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$4.898218299$ |
$1.005388833$ |
4.298555492 |
\( \frac{7206992216914}{225} a + \frac{12909807770041}{225} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -2803 a - 5190\) , \( -126567 a - 226035\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2803a-5190\right){x}-126567a-226035$ |
| 1875.1-d1 |
1875.1-d |
$1$ |
$1$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3 \cdot 5^{11} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$3.038355968$ |
3.978141775 |
\( \frac{82747}{15} a - \frac{41188}{3} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 7 a + 10\) , \( 7 a + 10\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(7a+10\right){x}+7a+10$ |
| 1875.1-e1 |
1875.1-e |
$6$ |
$8$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( - 3 \cdot 5^{28} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$16$ |
\( 2^{3} \) |
$1$ |
$0.244129907$ |
1.704752426 |
\( -\frac{54809252307092563}{457763671875} a + \frac{143121938722332053}{457763671875} \) |
\( \bigl[a + 1\) , \( -1\) , \( a\) , \( 126 a - 2252\) , \( 2615 a - 41999\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}-{x}^{2}+\left(126a-2252\right){x}+2615a-41999$ |
| 1875.1-e2 |
1875.1-e |
$6$ |
$8$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{2} \cdot 5^{14} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$3.906078517$ |
1.704752426 |
\( \frac{721}{75} a - \frac{242}{25} \) |
\( \bigl[a + 1\) , \( -1\) , \( a\) , \( a - 2\) , \( -10 a + 1\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}-{x}^{2}+\left(a-2\right){x}-10a+1$ |
| 1875.1-e3 |
1875.1-e |
$6$ |
$8$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{8} \cdot 5^{14} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$3.906078517$ |
1.704752426 |
\( -\frac{11403943879867}{2025} a + \frac{1178951741326}{75} \) |
\( \bigl[a + 1\) , \( -1\) , \( a\) , \( 376 a - 1377\) , \( -7635 a + 22626\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}-{x}^{2}+\left(376a-1377\right){x}-7635a+22626$ |
| 1875.1-e4 |
1875.1-e |
$6$ |
$8$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{4} \cdot 5^{16} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$3.906078517$ |
1.704752426 |
\( -\frac{169820651}{5625} a + \frac{603627881}{5625} \) |
\( \bigl[a + 1\) , \( -1\) , \( a\) , \( a - 127\) , \( -260 a + 126\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}-{x}^{2}+\left(a-127\right){x}-260a+126$ |
| 1875.1-e5 |
1875.1-e |
$6$ |
$8$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{2} \cdot 5^{20} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$4$ |
\( 2^{5} \) |
$1$ |
$0.976519629$ |
1.704752426 |
\( \frac{127041323975657}{1171875} a + \frac{75856556821286}{390625} \) |
\( \bigl[a + 1\) , \( -1\) , \( a\) , \( -374 a - 877\) , \( -7385 a - 13374\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-374a-877\right){x}-7385a-13374$ |
| 1875.1-e6 |
1875.1-e |
$6$ |
$8$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( - 3 \cdot 5^{16} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$16$ |
\( 2^{3} \) |
$1$ |
$0.244129907$ |
1.704752426 |
\( \frac{100981119568896026467}{1875} a + \frac{180886252308481366123}{1875} \) |
\( \bigl[a + 1\) , \( -1\) , \( a\) , \( -6874 a - 11502\) , \( -456885 a - 820249\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-6874a-11502\right){x}-456885a-820249$ |
| 1875.1-f1 |
1875.1-f |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{2} \cdot 5^{18} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$4.701057821$ |
2.051709839 |
\( -\frac{136703}{375} a + \frac{1097018}{375} \) |
\( \bigl[a\) , \( a + 1\) , \( a\) , \( 17 a - 68\) , \( -64 a + 148\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(17a-68\right){x}-64a+148$ |
| 1875.1-f2 |
1875.1-f |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( - 3^{4} \cdot 5^{21} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$1.175264455$ |
2.051709839 |
\( \frac{3220180901}{140625} a + \frac{1958551873}{46875} \) |
\( \bigl[a\) , \( a + 1\) , \( a\) , \( -108 a + 57\) , \( -814 a + 273\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-108a+57\right){x}-814a+273$ |
| 1875.1-g1 |
1875.1-g |
$1$ |
$1$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{2} \cdot 5^{16} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2^{2} \) |
$1$ |
$1.899031205$ |
1.657610332 |
\( -\frac{118784}{75} a - \frac{69632}{25} \) |
\( \bigl[0\) , \( 1\) , \( a\) , \( -75 a - 133\) , \( -619 a - 1107\bigr] \) |
${y}^2+a{y}={x}^{3}+{x}^{2}+\left(-75a-133\right){x}-619a-1107$ |
| 1875.1-h1 |
1875.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( - 3^{12} \cdot 5^{19} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.882207807$ |
4.620324638 |
\( \frac{34754429929766}{7119140625} a + \frac{21524348248643}{2373046875} \) |
\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( -202 a + 290\) , \( -3426 a + 7395\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-202a+290\right){x}-3426a+7395$ |
| 1875.1-h2 |
1875.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{6} \cdot 5^{14} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$1.764415615$ |
4.620324638 |
\( \frac{8865989379088}{84375} a + \frac{15882090952547}{84375} \) |
\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 23 a - 335\) , \( -976 a + 520\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(23a-335\right){x}-976a+520$ |
| 1875.1-i1 |
1875.1-i |
$1$ |
$1$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{2} \cdot 5^{16} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2^{2} \cdot 3 \) |
$0.152778113$ |
$3.535870206$ |
2.829170043 |
\( \frac{118784}{75} a - \frac{65536}{15} \) |
\( \bigl[0\) , \( -a + 1\) , \( a + 1\) , \( 8 a + 2\) , \( -60 a - 96\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(8a+2\right){x}-60a-96$ |
| 1875.1-j1 |
1875.1-j |
$1$ |
$1$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3 \cdot 5^{13} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \) |
$1$ |
$4.766986132$ |
2.080483313 |
\( -\frac{3517523978}{9375} a - \frac{1261646113}{1875} \) |
\( \bigl[1\) , \( 1\) , \( a\) , \( 32 a - 95\) , \( 301 a - 840\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(32a-95\right){x}+301a-840$ |
| 1875.1-k1 |
1875.1-k |
$6$ |
$8$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{2} \cdot 5^{14} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.940369156$ |
$3.262465293$ |
5.525614808 |
\( -\frac{721}{75} a - \frac{1}{15} \) |
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( -16 a - 28\) , \( -474 a - 849\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-16a-28\right){x}-474a-849$ |
| 1875.1-k2 |
1875.1-k |
$6$ |
$8$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( - 3 \cdot 5^{16} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$3.880738313$ |
$1.631232646$ |
5.525614808 |
\( -\frac{100981119568896026467}{1875} a + \frac{56373474375475478518}{375} \) |
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 4359 a + 6472\) , \( 39901 a + 90526\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(4359a+6472\right){x}+39901a+90526$ |
| 1875.1-k3 |
1875.1-k |
$6$ |
$8$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{2} \cdot 5^{20} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1.940369156$ |
$3.262465293$ |
5.525614808 |
\( -\frac{127041323975657}{1171875} a + \frac{70922198887903}{234375} \) |
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( -1016 a - 1903\) , \( 3401 a + 6401\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-1016a-1903\right){x}+3401a+6401$ |
| 1875.1-k4 |
1875.1-k |
$6$ |
$8$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{4} \cdot 5^{16} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.970184578$ |
$3.262465293$ |
5.525614808 |
\( \frac{169820651}{5625} a + \frac{28920482}{375} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( 605 a - 1696\) , \( -11457 a + 31973\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(605a-1696\right){x}-11457a+31973$ |
| 1875.1-k5 |
1875.1-k |
$6$ |
$8$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( - 3 \cdot 5^{28} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$3.880738313$ |
$1.631232646$ |
5.525614808 |
\( \frac{54809252307092563}{457763671875} a + \frac{17662537283047898}{91552734375} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( 9480 a - 26571\) , \( -787207 a + 2197723\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(9480a-26571\right){x}-787207a+2197723$ |
| 1875.1-k6 |
1875.1-k |
$6$ |
$8$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{8} \cdot 5^{14} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1.940369156$ |
$0.815616323$ |
5.525614808 |
\( \frac{11403943879867}{2025} a + \frac{4085550627187}{405} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( 1605 a - 4571\) , \( 39293 a - 110027\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(1605a-4571\right){x}+39293a-110027$ |
| 1875.1-l1 |
1875.1-l |
$2$ |
$3$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{3} \cdot 5^{11} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$9$ |
\( 2 \) |
$1$ |
$0.237566044$ |
0.933140899 |
\( \frac{294455581472305259}{1125} a - \frac{821910286185694204}{1125} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 532 a - 1515\) , \( 10518 a - 30860\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(532a-1515\right){x}+10518a-30860$ |
| 1875.1-l2 |
1875.1-l |
$2$ |
$3$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{9} \cdot 5^{9} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2 \) |
$1$ |
$2.138094403$ |
0.933140899 |
\( \frac{27974513}{1215} a - \frac{78080653}{1215} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 7 a - 15\) , \( 33 a - 35\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(7a-15\right){x}+33a-35$ |
| 1875.1-m1 |
1875.1-m |
$1$ |
$1$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{8} \cdot 5^{8} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2^{2} \) |
$1$ |
$1.024521818$ |
0.894275959 |
\( -\frac{3309568}{81} a - \frac{7503872}{81} \) |
\( \bigl[0\) , \( -a + 1\) , \( a\) , \( 13 a - 48\) , \( 68 a - 202\bigr] \) |
${y}^2+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(13a-48\right){x}+68a-202$ |
| 1875.1-n1 |
1875.1-n |
$2$ |
$3$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{3} \cdot 5^{11} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.187089739$ |
$4.776421002$ |
4.680089556 |
\( -\frac{294455581472305259}{1125} a - \frac{105490940942677789}{225} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 134 a - 472\) , \( -35673 a + 99816\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(134a-472\right){x}-35673a+99816$ |
| 1875.1-n2 |
1875.1-n |
$2$ |
$3$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{9} \cdot 5^{9} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$0.062363246$ |
$4.776421002$ |
4.680089556 |
\( -\frac{27974513}{1215} a - \frac{10021228}{243} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -16 a + 53\) , \( 1332 a - 3714\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-16a+53\right){x}+1332a-3714$ |
| 1875.1-o1 |
1875.1-o |
$1$ |
$1$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3 \cdot 5^{11} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2^{2} \) |
$0.284250416$ |
$9.298916952$ |
4.614384911 |
\( -\frac{82747}{15} a - \frac{123193}{15} \) |
\( \bigl[a\) , \( -a\) , \( a\) , \( -15 a - 25\) , \( 47 a + 85\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-15a-25\right){x}+47a+85$ |
| 1875.1-p1 |
1875.1-p |
$1$ |
$1$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3 \cdot 5^{13} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2^{2} \) |
$1.488143034$ |
$2.404092427$ |
6.245628902 |
\( \frac{3517523978}{9375} a - \frac{9825754543}{9375} \) |
\( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( 24 a - 68\) , \( 98 a - 271\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(24a-68\right){x}+98a-271$ |
| 1875.1-q1 |
1875.1-q |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{2} \cdot 5^{12} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.149781554$ |
$8.922663371$ |
2.333099074 |
\( -\frac{168521}{375} a - \frac{18747}{25} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( -3 a + 7\) , \( -19 a + 52\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-3a+7\right){x}-19a+52$ |
| 1875.1-q2 |
1875.1-q |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3 \cdot 5^{15} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.299563108$ |
$8.922663371$ |
2.333099074 |
\( \frac{73187397017}{46875} a + \frac{26368041532}{9375} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( 47 a - 168\) , \( -344 a + 1002\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(47a-168\right){x}-344a+1002$ |
| 1875.1-r1 |
1875.1-r |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( - 3^{12} \cdot 5^{19} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$2.919407663$ |
$1.018436354$ |
5.190497388 |
\( -\frac{34754429929766}{7119140625} a + \frac{19865494935139}{1423828125} \) |
\( \bigl[a + 1\) , \( a\) , \( a\) , \( 1415 a - 3913\) , \( -42577 a + 118792\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(1415a-3913\right){x}-42577a+118792$ |
| 1875.1-r2 |
1875.1-r |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{6} \cdot 5^{14} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.459703831$ |
$4.073745416$ |
5.190497388 |
\( -\frac{8865989379088}{84375} a + \frac{549957340703}{1875} \) |
\( \bigl[a + 1\) , \( a\) , \( a\) , \( 1390 a - 3888\) , \( -43552 a + 121517\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(1390a-3888\right){x}-43552a+121517$ |
| 1875.1-s1 |
1875.1-s |
$1$ |
$1$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{8} \cdot 5^{8} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2^{4} \) |
$0.038676146$ |
$12.59751332$ |
3.402266687 |
\( \frac{3309568}{81} a - \frac{3604480}{27} \) |
\( \bigl[0\) , \( a - 1\) , \( a + 1\) , \( 63 a - 178\) , \( -484 a + 1348\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(63a-178\right){x}-484a+1348$ |
| 1875.1-t1 |
1875.1-t |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{2} \cdot 5^{12} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$2.320016758$ |
1.012538324 |
\( \frac{168521}{375} a - \frac{449726}{375} \) |
\( \bigl[1\) , \( a + 1\) , \( 1\) , \( 12 a - 28\) , \( 38 a - 104\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(12a-28\right){x}+38a-104$ |
| 1875.1-t2 |
1875.1-t |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3 \cdot 5^{15} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$2.320016758$ |
1.012538324 |
\( -\frac{73187397017}{46875} a + \frac{205027604677}{46875} \) |
\( \bigl[1\) , \( a + 1\) , \( 1\) , \( 187 a - 528\) , \( 2088 a - 5854\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(187a-528\right){x}+2088a-5854$ |
| 1875.1-u1 |
1875.1-u |
$8$ |
$16$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{32} \cdot 5^{14} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$4$ |
\( 2^{3} \) |
$1$ |
$0.509597846$ |
0.889626935 |
\( -\frac{147281603041}{215233605} \) |
\( \bigl[a\) , \( 1\) , \( a + 1\) , \( 13752 a - 38508\) , \( -2493690 a + 6961434\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(13752a-38508\right){x}-2493690a+6961434$ |
| 1875.1-u2 |
1875.1-u |
$8$ |
$16$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{2} \cdot 5^{14} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$2.038391385$ |
0.889626935 |
\( -\frac{1}{15} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( -4 a - 5\) , \( -561 a - 1005\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-4a-5\right){x}-561a-1005$ |
| 1875.1-u3 |
1875.1-u |
$8$ |
$16$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{4} \cdot 5^{28} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.509597846$ |
0.889626935 |
\( \frac{4733169839}{3515625} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( 4371 a + 7870\) , \( 129814 a + 232620\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(4371a+7870\right){x}+129814a+232620$ |
| 1875.1-u4 |
1875.1-u |
$8$ |
$16$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{8} \cdot 5^{20} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$2.038391385$ |
0.889626935 |
\( \frac{111284641}{50625} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( -1254 a - 2255\) , \( 16189 a + 28995\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-1254a-2255\right){x}+16189a+28995$ |
| 1875.1-u5 |
1875.1-u |
$8$ |
$16$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{4} \cdot 5^{16} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$2.038391385$ |
0.889626935 |
\( \frac{13997521}{225} \) |
\( \bigl[a\) , \( 1\) , \( a + 1\) , \( 627 a - 1758\) , \( 13185 a - 36816\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(627a-1758\right){x}+13185a-36816$ |
| 1875.1-u6 |
1875.1-u |
$8$ |
$16$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{16} \cdot 5^{16} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$2.038391385$ |
0.889626935 |
\( \frac{272223782641}{164025} \) |
\( \bigl[a\) , \( 1\) , \( a + 1\) , \( 16877 a - 47258\) , \( -1800565 a + 5026434\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(16877a-47258\right){x}-1800565a+5026434$ |
| 1875.1-u7 |
1875.1-u |
$8$ |
$16$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{2} \cdot 5^{14} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.509597846$ |
0.889626935 |
\( \frac{56667352321}{15} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( -10004 a - 18005\) , \( -832561 a - 1491755\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-10004a-18005\right){x}-832561a-1491755$ |
| 1875.1-u8 |
1875.1-u |
$8$ |
$16$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{8} \cdot 5^{14} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$2.038391385$ |
0.889626935 |
\( \frac{1114544804970241}{405} \) |
\( \bigl[a\) , \( 1\) , \( a + 1\) , \( 270002 a - 756008\) , \( -115757440 a + 323153934\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(270002a-756008\right){x}-115757440a+323153934$ |
| 1875.1-v1 |
1875.1-v |
$2$ |
$5$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{2} \cdot 5^{8} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$5$ |
5B.1.3 |
$1$ |
\( 2 \) |
$1$ |
$1.967118283$ |
0.858520803 |
\( -\frac{102400}{3} \) |
\( \bigl[0\) , \( -1\) , \( 1\) , \( -8\) , \( -7\bigr] \) |
${y}^2+{y}={x}^{3}-{x}^{2}-8{x}-7$ |
| 1875.1-v2 |
1875.1-v |
$2$ |
$5$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1875.1 |
\( 3 \cdot 5^{4} \) |
\( 3^{10} \cdot 5^{16} \) |
$2.69463$ |
$(-a+2), (-a), (-a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$5$ |
5B.1.4 |
$1$ |
\( 2 \) |
$1$ |
$1.967118283$ |
0.858520803 |
\( \frac{20480}{243} \) |
\( \bigl[0\) , \( -1\) , \( 1\) , \( 42\) , \( 443\bigr] \) |
${y}^2+{y}={x}^{3}-{x}^{2}+42{x}+443$ |
*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.
