| 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 |
| 14700.2-a1 |
14700.2-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 7^{4} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.101066495$ |
$3.042194592$ |
2.130172703 |
\( \frac{10908911}{20580} a - \frac{3120892}{15435} \) |
\( \bigl[a + 1\) , \( -1\) , \( 1\) , \( -3 a - 2\) , \( 5 a - 2\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(-3a-2\right){x}+5a-2$ |
| 14700.2-a2 |
14700.2-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 7^{8} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$0.050533247$ |
$1.521097296$ |
2.130172703 |
\( -\frac{35074787483}{5882450} a + \frac{23048630629}{3529470} \) |
\( \bigl[a + 1\) , \( -1\) , \( 1\) , \( -3 a + 28\) , \( 65 a - 26\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(-3a+28\right){x}+65a-26$ |
| 14700.2-b1 |
14700.2-b |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 7^{4} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.101066495$ |
$3.042194592$ |
2.130172703 |
\( -\frac{10908911}{20580} a + \frac{4048633}{12348} \) |
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( -4 a + 1\) , \( -5 a + 3\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-4a+1\right){x}-5a+3$ |
| 14700.2-b2 |
14700.2-b |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 7^{8} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$0.050533247$ |
$1.521097296$ |
2.130172703 |
\( \frac{35074787483}{5882450} a + \frac{5009395348}{8823675} \) |
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( 26 a - 29\) , \( -65 a + 39\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(26a-29\right){x}-65a+39$ |
| 14700.2-c1 |
14700.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 7^{8} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.133161645$ |
$0.973199388$ |
2.394254601 |
\( \frac{30080231}{9003750} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( -7 a\) , \( 147\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}-7a{x}+147$ |
| 14700.2-c2 |
14700.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.532646580$ |
$3.892797554$ |
2.394254601 |
\( \frac{4826809}{1680} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 3 a\) , \( -3\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+3a{x}-3$ |
| 14700.2-c3 |
14700.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 7^{4} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.266323290$ |
$1.946398777$ |
2.394254601 |
\( \frac{1439069689}{44100} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 23 a\) , \( 33\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+23a{x}+33$ |
| 14700.2-c4 |
14700.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2 \) |
$0.532646580$ |
$0.973199388$ |
2.394254601 |
\( \frac{5763259856089}{5670} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 373 a\) , \( 2623\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+373a{x}+2623$ |
| 14700.2-d1 |
14700.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{16} \cdot 5^{16} \cdot 7^{2} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.247313085$ |
$0.229118748$ |
2.639948540 |
\( -\frac{104094944089921}{35880468750} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -980\) , \( -15325\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-980{x}-15325$ |
| 14700.2-d2 |
14700.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.155914135$ |
$1.832949985$ |
2.639948540 |
\( \frac{109902239}{188160} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 10\) , \( -13\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+10{x}-13$ |
| 14700.2-d3 |
14700.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 7^{8} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{8} \) |
$0.311828271$ |
$0.916474992$ |
2.639948540 |
\( \frac{37966934881}{8643600} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -70\) , \( -205\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-70{x}-205$ |
| 14700.2-d4 |
14700.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{16} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{8} \) |
$0.155914135$ |
$0.458237496$ |
2.639948540 |
\( \frac{5602762882081}{345888060} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -370\) , \( 2435\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-370{x}+2435$ |
| 14700.2-d5 |
14700.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 7^{4} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.623656542$ |
$0.458237496$ |
2.639948540 |
\( \frac{128031684631201}{9922500} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -1050\) , \( -13533\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-1050{x}-13533$ |
| 14700.2-d6 |
14700.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1.247313085$ |
$0.229118748$ |
2.639948540 |
\( \frac{524388516989299201}{3150} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -16800\) , \( -845133\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-16800{x}-845133$ |
| 14700.2-e1 |
14700.2-e |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{2} \cdot 7^{8} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \cdot 3^{2} \) |
$0.023410052$ |
$0.739138266$ |
2.877132992 |
\( \frac{764290129669}{343064484} a - \frac{786184607498}{428830605} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 20 a + 76\) , \( -404 a + 366\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(20a+76\right){x}-404a+366$ |
| 14700.2-e2 |
14700.2-e |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 7^{4} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$0.046820105$ |
$1.478276532$ |
2.877132992 |
\( -\frac{1991386151}{740880} a + \frac{735274513}{1234800} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 20 a - 24\) , \( -64 a + 46\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(20a-24\right){x}-64a+46$ |
| 14700.2-f1 |
14700.2-f |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 7^{4} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$0.046820105$ |
$1.478276532$ |
2.877132992 |
\( \frac{1991386151}{740880} a - \frac{484444201}{231525} \) |
\( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( -5 a + 25\) , \( 63 a - 18\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-5a+25\right){x}+63a-18$ |
| 14700.2-f2 |
14700.2-f |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{2} \cdot 7^{8} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \cdot 3^{2} \) |
$0.023410052$ |
$0.739138266$ |
2.877132992 |
\( -\frac{764290129669}{343064484} a + \frac{225570739451}{571774140} \) |
\( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( 95 a - 75\) , \( 403 a - 38\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(95a-75\right){x}+403a-38$ |
| 14700.2-g1 |
14700.2-g |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 7^{32} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$16$ |
\( 2^{4} \) |
$1$ |
$0.027629842$ |
2.041868430 |
\( -\frac{187778242790732059201}{4984939585440150} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -119300\) , \( -16229850\bigr] \) |
${y}^2+{x}{y}={x}^{3}-119300{x}-16229850$ |
| 14700.2-g2 |
14700.2-g |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{32} \cdot 7^{4} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{9} \) |
$1$ |
$0.055259685$ |
2.041868430 |
\( \frac{226523624554079}{269165039062500} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( 1270\) , \( -789048\bigr] \) |
${y}^2+{x}{y}={x}^{3}+1270{x}-789048$ |
| 14700.2-g3 |
14700.2-g |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{32} \cdot 3^{8} \cdot 5^{4} \cdot 7^{2} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{8} \) |
$1$ |
$0.442077482$ |
2.041868430 |
\( \frac{1023887723039}{928972800} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( 210\) , \( 900\bigr] \) |
${y}^2+{x}{y}={x}^{3}+210{x}+900$ |
| 14700.2-g4 |
14700.2-g |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{16} \cdot 5^{8} \cdot 7^{4} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{11} \) |
$1$ |
$0.221038741$ |
2.041868430 |
\( \frac{135487869158881}{51438240000} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -1070\) , \( 7812\bigr] \) |
${y}^2+{x}{y}={x}^{3}-1070{x}+7812$ |
| 14700.2-g5 |
14700.2-g |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{16} \cdot 7^{8} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{10} \) |
$1$ |
$0.110519370$ |
2.041868430 |
\( \frac{47595748626367201}{1215506250000} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -7550\) , \( -247500\bigr] \) |
${y}^2+{x}{y}={x}^{3}-7550{x}-247500$ |
| 14700.2-g6 |
14700.2-g |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{32} \cdot 5^{4} \cdot 7^{2} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{8} \) |
$1$ |
$0.110519370$ |
2.041868430 |
\( \frac{378499465220294881}{120530818800} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -15070\) , \( 710612\bigr] \) |
${y}^2+{x}{y}={x}^{3}-15070{x}+710612$ |
| 14700.2-g7 |
14700.2-g |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 7^{16} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{7} \) |
$1$ |
$0.055259685$ |
2.041868430 |
\( \frac{191342053882402567201}{129708022500} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -120050\) , \( -16020000\bigr] \) |
${y}^2+{x}{y}={x}^{3}-120050{x}-16020000$ |
| 14700.2-g8 |
14700.2-g |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 7^{8} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$16$ |
\( 2^{4} \) |
$1$ |
$0.027629842$ |
2.041868430 |
\( \frac{783736670177727068275201}{360150} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -1920800\) , \( -1024800150\bigr] \) |
${y}^2+{x}{y}={x}^{3}-1920800{x}-1024800150$ |
| 14700.2-h1 |
14700.2-h |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{24} \cdot 5^{8} \cdot 7^{2} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{5} \cdot 3^{2} \) |
$1$ |
$0.272684525$ |
2.518951744 |
\( -\frac{58818484369}{18600435000} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 81 a\) , \( 6561\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+81a{x}+6561$ |
| 14700.2-h2 |
14700.2-h |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{24} \cdot 7^{6} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{5} \cdot 3^{3} \) |
$1$ |
$0.090894841$ |
2.518951744 |
\( \frac{42841933504271}{13565917968750} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( -729 a\) , \( -176985\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-729a{x}-176985$ |
| 14700.2-h3 |
14700.2-h |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{24} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$1.090738100$ |
2.518951744 |
\( \frac{7633736209}{3870720} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 41 a\) , \( -39\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+41a{x}-39$ |
| 14700.2-h4 |
14700.2-h |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{6} \cdot 7^{24} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{5} \cdot 3^{3} \) |
$1$ |
$0.090894841$ |
2.518951744 |
\( \frac{29689921233686449}{10380965400750} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 6451 a\) , \( 124931\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+6451a{x}+124931$ |
| 14700.2-h5 |
14700.2-h |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{12} \cdot 7^{12} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{6} \cdot 3^{3} \) |
$1$ |
$0.181789683$ |
2.518951744 |
\( \frac{2179252305146449}{66177562500} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 2701 a\) , \( -52819\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+2701a{x}-52819$ |
| 14700.2-h6 |
14700.2-h |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{4} \cdot 7^{4} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{6} \cdot 3^{2} \) |
$1$ |
$0.545369050$ |
2.518951744 |
\( \frac{5203798902289}{57153600} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 361 a\) , \( 2585\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+361a{x}+2585$ |
| 14700.2-h7 |
14700.2-h |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 7^{6} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3^{3} \) |
$1$ |
$0.363579366$ |
2.518951744 |
\( \frac{2131200347946769}{2058000} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 2681 a\) , \( -53655\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+2681a{x}-53655$ |
| 14700.2-h8 |
14700.2-h |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 7^{8} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{5} \cdot 3^{2} \) |
$1$ |
$0.272684525$ |
2.518951744 |
\( \frac{21145699168383889}{2593080} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 5761 a\) , \( 167825\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+5761a{x}+167825$ |
| 14700.2-i1 |
14700.2-i |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 7^{24} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/12\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{8} \cdot 3^{3} \) |
$1$ |
$0.049562042$ |
2.747007217 |
\( -\frac{932348627918877961}{358766164249920} \) |
\( \bigl[a\) , \( 0\) , \( 1\) , \( 20352 a\) , \( -1443724\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+20352a{x}-1443724$ |
| 14700.2-i2 |
14700.2-i |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{24} \cdot 5^{6} \cdot 7^{8} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/12\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{8} \cdot 3^{2} \) |
$1$ |
$0.148686127$ |
2.747007217 |
\( \frac{785793873833639}{637994920500} \) |
\( \bigl[a\) , \( 0\) , \( 1\) , \( -1923 a\) , \( 20756\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}-1923a{x}+20756$ |
| 14700.2-i3 |
14700.2-i |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{12} \cdot 7^{4} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{7} \cdot 3^{2} \) |
$1$ |
$0.297372254$ |
2.747007217 |
\( \frac{21302308926361}{8930250000} \) |
\( \bigl[a\) , \( 0\) , \( 1\) , \( 577 a\) , \( 2756\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+577a{x}+2756$ |
| 14700.2-i4 |
14700.2-i |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{48} \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3^{3} \) |
$1$ |
$0.198248169$ |
2.747007217 |
\( \frac{353108405631241}{86318776320} \) |
\( \bigl[a\) , \( 0\) , \( 1\) , \( 1472 a\) , \( -16652\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+1472a{x}-16652$ |
| 14700.2-i5 |
14700.2-i |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{24} \cdot 7^{2} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$4$ |
\( 2^{4} \cdot 3^{2} \) |
$1$ |
$0.148686127$ |
2.747007217 |
\( \frac{9150443179640281}{184570312500} \) |
\( \bigl[a\) , \( 0\) , \( 1\) , \( 4357 a\) , \( -109132\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+4357a{x}-109132$ |
| 14700.2-i6 |
14700.2-i |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$1$ |
$0.594744508$ |
2.747007217 |
\( \frac{13619385906841}{6048000} \) |
\( \bigl[a\) , \( 0\) , \( 1\) , \( 497 a\) , \( 4228\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+497a{x}+4228$ |
| 14700.2-i7 |
14700.2-i |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{24} \cdot 3^{4} \cdot 5^{4} \cdot 7^{12} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{7} \cdot 3^{3} \) |
$1$ |
$0.099124084$ |
2.747007217 |
\( \frac{1169975873419524361}{108425318400} \) |
\( \bigl[a\) , \( 0\) , \( 1\) , \( 21952 a\) , \( -1253644\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+21952a{x}-1253644$ |
| 14700.2-i8 |
14700.2-i |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 7^{6} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$4$ |
\( 2^{4} \cdot 3^{3} \) |
$1$ |
$0.049562042$ |
2.747007217 |
\( \frac{4791901410190533590281}{41160000} \) |
\( \bigl[a\) , \( 0\) , \( 1\) , \( 351232 a\) , \( -80149132\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+351232a{x}-80149132$ |
*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.
