| 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 |
| 86700.1-a1 |
86700.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{16} \cdot 5^{4} \cdot 17^{8} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$0.406702667$ |
$0.201681445$ |
4.546252708 |
\( \frac{21464092074671}{109596256200} \) |
\( \bigl[a\) , \( a - 1\) , \( 1\) , \( -580 a\) , \( -14757\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}-580a{x}-14757$ |
| 86700.1-a2 |
86700.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{24} \cdot 3^{4} \cdot 5^{4} \cdot 17^{2} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
$2$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$0.406702667$ |
$0.806725783$ |
4.546252708 |
\( \frac{114013572049}{15667200} \) |
\( \bigl[a\) , \( a - 1\) , \( 1\) , \( 100 a\) , \( 299\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+100a{x}+299$ |
| 86700.1-a3 |
86700.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{8} \cdot 17^{4} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \cdot 3 \) |
$0.406702667$ |
$0.403362891$ |
4.546252708 |
\( \frac{8253429989329}{936360000} \) |
\( \bigl[a\) , \( a - 1\) , \( 1\) , \( 420 a\) , \( -3157\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+420a{x}-3157$ |
| 86700.1-a4 |
86700.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{16} \cdot 17^{2} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$0.406702667$ |
$0.201681445$ |
4.546252708 |
\( \frac{30949975477232209}{478125000} \) |
\( \bigl[a\) , \( a - 1\) , \( 1\) , \( 6540 a\) , \( -206341\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+6540a{x}-206341$ |
| 86700.1-b1 |
86700.1-b |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{32} \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.818001563$ |
1.889093690 |
\( -\frac{56667352321}{16711680} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -79 a + 79\) , \( 385\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-79a+79\right){x}+385$ |
| 86700.1-b2 |
86700.1-b |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{32} \cdot 17^{2} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{5} \) |
$1$ |
$0.051125097$ |
1.889093690 |
\( \frac{31077313442863199}{420227050781250} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( 6551 a - 6551\) , \( -968765\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(6551a-6551\right){x}-968765$ |
| 86700.1-b3 |
86700.1-b |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 17^{16} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{6} \) |
$1$ |
$0.102250195$ |
1.889093690 |
\( \frac{3168685387909439}{6278181696900} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( 3061 a - 3061\) , \( 99645\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(3061a-3061\right){x}+99645$ |
| 86700.1-b4 |
86700.1-b |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 17^{8} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{7} \) |
$1$ |
$0.204500390$ |
1.889093690 |
\( \frac{330240275458561}{67652010000} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -1439 a + 1439\) , \( 17745\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-1439a+1439\right){x}+17745$ |
| 86700.1-b5 |
86700.1-b |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{16} \cdot 5^{16} \cdot 17^{4} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{6} \) |
$1$ |
$0.102250195$ |
1.889093690 |
\( \frac{41623544884956481}{2962701562500} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -7219 a + 7219\) , \( -216923\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-7219a+7219\right){x}-216923$ |
| 86700.1-b6 |
86700.1-b |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{4} \cdot 17^{4} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{6} \) |
$1$ |
$0.409000781$ |
1.889093690 |
\( \frac{278202094583041}{16646400} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -1359 a + 1359\) , \( 20097\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-1359a+1359\right){x}+20097$ |
| 86700.1-b7 |
86700.1-b |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{32} \cdot 5^{8} \cdot 17^{2} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$16$ |
\( 2^{3} \) |
$1$ |
$0.051125097$ |
1.889093690 |
\( \frac{161572377633716256481}{914742821250} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -113469 a + 113469\) , \( -14645673\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-113469a+113469\right){x}-14645673$ |
| 86700.1-b8 |
86700.1-b |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$16$ |
\( 2^{3} \) |
$1$ |
$0.204500390$ |
1.889093690 |
\( \frac{1139466686381936641}{4080} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -21759 a + 21759\) , \( 1248177\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-21759a+21759\right){x}+1248177$ |
| 86700.1-c1 |
86700.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{36} \cdot 3^{14} \cdot 5^{2} \cdot 17^{4} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.136414775$ |
2.835327873 |
\( -\frac{2113364608155289}{828431400960} \) |
\( \bigl[a + 1\) , \( a\) , \( 1\) , \( -2673 a + 2672\) , \( 70470\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-2673a+2672\right){x}+70470$ |
| 86700.1-c2 |
86700.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{18} \cdot 3^{28} \cdot 5^{4} \cdot 17^{2} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.068207387$ |
2.835327873 |
\( \frac{10901014250685308569}{1040774054400} \) |
\( \bigl[a + 1\) , \( a\) , \( 1\) , \( -46193 a + 46192\) , \( 3848006\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-46193a+46192\right){x}+3848006$ |
| 86700.1-d1 |
86700.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 17^{4} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.317907293$ |
3.043576523 |
\( \frac{302111711}{1404540} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( 15 a - 15\) , \( 45\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(15a-15\right){x}+45$ |
| 86700.1-d2 |
86700.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{20} \cdot 5^{4} \cdot 17^{2} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$0.658953646$ |
3.043576523 |
\( \frac{420021471169}{50191650} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -155 a + 155\) , \( 759\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-155a+155\right){x}+759$ |
| 86700.1-e1 |
86700.1-e |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{28} \cdot 3^{6} \cdot 5^{2} \cdot 17^{4} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \) |
$0.137337126$ |
$0.373734502$ |
4.978514806 |
\( -\frac{41713327443241}{639221760} \) |
\( \bigl[a\) , \( 0\) , \( 1\) , \( 722 a\) , \( -7634\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+722a{x}-7634$ |
| 86700.1-e2 |
86700.1-e |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{14} \cdot 3^{12} \cdot 5^{4} \cdot 17^{2} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \) |
$0.274674252$ |
$0.186867251$ |
4.978514806 |
\( \frac{172735174415217961}{39657600} \) |
\( \bigl[a\) , \( 0\) , \( 1\) , \( 11602 a\) , \( -482002\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+11602a{x}-482002$ |
| 86700.1-f1 |
86700.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.357529769$ |
$3.440254596$ |
5.681096323 |
\( \frac{6967871}{4080} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( 4\) , \( 0\bigr] \) |
${y}^2+{x}{y}={x}^{3}+4{x}$ |
| 86700.1-f2 |
86700.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 17^{4} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.715059539$ |
$1.720127298$ |
5.681096323 |
\( \frac{454756609}{260100} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -16\) , \( -4\bigr] \) |
${y}^2+{x}{y}={x}^{3}-16{x}-4$ |
| 86700.1-f3 |
86700.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17^{8} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.430119079$ |
$0.860063649$ |
5.681096323 |
\( \frac{506071034209}{2505630} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -166\) , \( 806\bigr] \) |
${y}^2+{x}{y}={x}^{3}-166{x}+806$ |
| 86700.1-f4 |
86700.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 17^{2} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.357529769$ |
$0.860063649$ |
5.681096323 |
\( \frac{711882749089}{1721250} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -186\) , \( -990\bigr] \) |
${y}^2+{x}{y}={x}^{3}-186{x}-990$ |
| 86700.1-g1 |
86700.1-g |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17^{12} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$9$ |
\( 2^{3} \cdot 3 \) |
$1.825047091$ |
$0.234567420$ |
5.931880344 |
\( -\frac{3884775383991601}{1448254140} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -3275 a + 3275\) , \( -72435\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-3275a+3275\right){x}-72435$ |
| 86700.1-g2 |
86700.1-g |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 17^{4} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3^{3} \) |
$0.608349030$ |
$0.703702262$ |
5.931880344 |
\( \frac{1723683599}{62424000} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 25 a - 25\) , \( -375\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(25a-25\right){x}-375$ |
| 86700.1-g3 |
86700.1-g |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{12} \cdot 17^{2} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3^{3} \) |
$1.216698061$ |
$0.351851131$ |
5.931880344 |
\( \frac{31080575499121}{1549125000} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -655 a + 655\) , \( -6223\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-655a+655\right){x}-6223$ |
| 86700.1-g4 |
86700.1-g |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
86700.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{4} \cdot 17^{6} \) |
$2.65585$ |
$(-2a+1), (2), (5), (17)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$9$ |
\( 2^{3} \cdot 3 \) |
$3.650094183$ |
$0.117283710$ |
5.931880344 |
\( \frac{15916310615119911121}{2210850} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -52405 a + 52405\) , \( -4621873\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-52405a+52405\right){x}-4621873$ |
*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.
