| 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 |
| 28224.2-a1 |
28224.2-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{22} \cdot 3^{6} \cdot 7^{8} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.606358791$ |
1.400325646 |
\( \frac{70330790}{117649} a - \frac{91085936}{117649} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 73 a - 107\) , \( -529 a + 768\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(73a-107\right){x}-529a+768$ |
| 28224.2-a2 |
28224.2-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{6} \cdot 7^{4} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.212717583$ |
1.400325646 |
\( -\frac{2555300}{343} a + \frac{1035204}{343} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -47 a + 13\) , \( -97 a + 72\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-47a+13\right){x}-97a+72$ |
| 28224.2-b1 |
28224.2-b |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{6} \cdot 7^{4} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.212717583$ |
1.400325646 |
\( \frac{2555300}{343} a - \frac{1520096}{343} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 49 a - 35\) , \( 145 a - 60\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(49a-35\right){x}+145a-60$ |
| 28224.2-b2 |
28224.2-b |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{22} \cdot 3^{6} \cdot 7^{8} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.606358791$ |
1.400325646 |
\( -\frac{70330790}{117649} a - \frac{20755146}{117649} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -71 a - 35\) , \( 457 a + 204\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-71a-35\right){x}+457a+204$ |
| 28224.2-c1 |
28224.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 7^{5} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.515123520$ |
$1.287365174$ |
3.062968257 |
\( \frac{12853728}{2401} a - \frac{20030544}{2401} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 45 a - 21\) , \( 84 a + 30\bigr] \) |
${y}^2={x}^{3}+\left(45a-21\right){x}+84a+30$ |
| 28224.2-c2 |
28224.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 7^{5} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.515123520$ |
$1.287365174$ |
3.062968257 |
\( -\frac{12853728}{2401} a - \frac{7176816}{2401} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -45 a + 24\) , \( -84 a + 114\bigr] \) |
${y}^2={x}^{3}+\left(-45a+24\right){x}-84a+114$ |
| 28224.2-c3 |
28224.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 7^{4} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.257561760$ |
$2.574730348$ |
3.062968257 |
\( -\frac{55296}{49} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -6\) , \( 9\bigr] \) |
${y}^2={x}^{3}-6{x}+9$ |
| 28224.2-c4 |
28224.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 7^{2} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.515123520$ |
$1.287365174$ |
3.062968257 |
\( \frac{21882096}{7} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -111\) , \( 450\bigr] \) |
${y}^2={x}^{3}-111{x}+450$ |
| 28224.2-d1 |
28224.2-d |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{6} \cdot 7^{5} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.418913130$ |
$0.834893235$ |
3.230831214 |
\( \frac{334159992}{2401} a - \frac{339280596}{2401} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -69 a - 120\) , \( 504 a + 446\bigr] \) |
${y}^2={x}^{3}+\left(-69a-120\right){x}+504a+446$ |
| 28224.2-d2 |
28224.2-d |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{6} \cdot 7^{5} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.418913130$ |
$0.834893235$ |
3.230831214 |
\( -\frac{334159992}{2401} a - \frac{5120604}{2401} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -189 a + 120\) , \( -504 a + 950\bigr] \) |
${y}^2={x}^{3}+\left(-189a+120\right){x}-504a+950$ |
| 28224.2-d3 |
28224.2-d |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 7^{4} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.209456565$ |
$1.669786470$ |
3.230831214 |
\( \frac{11664}{49} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -9 a\) , \( 26\bigr] \) |
${y}^2={x}^{3}-9a{x}+26$ |
| 28224.2-d4 |
28224.2-d |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 7^{2} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.418913130$ |
$3.339572940$ |
3.230831214 |
\( \frac{55296}{7} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 6 a\) , \( 5\bigr] \) |
${y}^2={x}^{3}+6a{x}+5$ |
| 28224.2-e1 |
28224.2-e |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{22} \cdot 3^{14} \cdot 7^{5} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.441968146$ |
2.041363425 |
\( \frac{540572762}{194481} a - \frac{147359740}{21609} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 57 a - 339\) , \( 441 a - 2772\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(57a-339\right){x}+441a-2772$ |
| 28224.2-e2 |
28224.2-e |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{8} \cdot 7^{2} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.767872584$ |
2.041363425 |
\( -\frac{64528}{21} a - 3264 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -3 a + 21\) , \( 45 a\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-3a+21\right){x}+45a$ |
| 28224.2-e3 |
28224.2-e |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{10} \cdot 7^{4} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$0.883936292$ |
2.041363425 |
\( \frac{53428}{441} a - \frac{746932}{441} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -63 a + 21\) , \( 201 a - 204\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-63a+21\right){x}+201a-204$ |
| 28224.2-e4 |
28224.2-e |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{22} \cdot 3^{8} \cdot 7^{5} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.441968146$ |
2.041363425 |
\( -\frac{4146758318}{7203} a + \frac{13316821740}{2401} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -1143 a + 381\) , \( 11865 a - 11652\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-1143a+381\right){x}+11865a-11652$ |
| 28224.2-f1 |
28224.2-f |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{10} \cdot 7^{4} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.645884175$ |
2.237408416 |
\( -\frac{2837874944}{3087} a - \frac{2609921648}{1029} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -192 a + 504\) , \( -3468 a - 480\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-192a+504\right){x}-3468a-480$ |
| 28224.2-f2 |
28224.2-f |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{22} \cdot 3^{10} \cdot 7^{13} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.161471043$ |
2.237408416 |
\( -\frac{2501041836936508}{124571584809} a - \frac{179475886366954}{41523861603} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -3492 a + 2664\) , \( -27972 a + 77976\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-3492a+2664\right){x}-27972a+77976$ |
| 28224.2-f3 |
28224.2-f |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{14} \cdot 7^{8} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.322942087$ |
2.237408416 |
\( \frac{18014530528}{9529569} a - \frac{4291022956}{9529569} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -252 a + 504\) , \( -4212 a + 648\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-252a+504\right){x}-4212a+648$ |
| 28224.2-f4 |
28224.2-f |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{22} \cdot 3^{22} \cdot 7^{7} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.161471043$ |
2.237408416 |
\( -\frac{37641895204}{15752961} a + \frac{10103566538}{5250987} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 2028 a - 1656\) , \( -29988 a - 3528\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(2028a-1656\right){x}-29988a-3528$ |
| 28224.2-g1 |
28224.2-g |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{8} \cdot 7^{2} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.767872584$ |
2.041363425 |
\( \frac{64528}{21} a - \frac{133072}{21} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 18 a - 21\) , \( -45 a + 45\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(18a-21\right){x}-45a+45$ |
| 28224.2-g2 |
28224.2-g |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{22} \cdot 3^{14} \cdot 7^{5} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.441968146$ |
2.041363425 |
\( -\frac{540572762}{194481} a - \frac{785664898}{194481} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -282 a + 339\) , \( -441 a - 2331\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-282a+339\right){x}-441a-2331$ |
| 28224.2-g3 |
28224.2-g |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{10} \cdot 7^{4} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$0.883936292$ |
2.041363425 |
\( -\frac{53428}{441} a - \frac{11008}{7} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -42 a - 21\) , \( -201 a - 3\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-42a-21\right){x}-201a-3$ |
| 28224.2-g4 |
28224.2-g |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{22} \cdot 3^{8} \cdot 7^{5} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.441968146$ |
2.041363425 |
\( \frac{4146758318}{7203} a + \frac{35803706902}{7203} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -762 a - 381\) , \( -11865 a + 213\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-762a-381\right){x}-11865a+213$ |
| 28224.2-h1 |
28224.2-h |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{10} \cdot 7^{4} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.645884175$ |
2.237408416 |
\( \frac{2837874944}{3087} a - \frac{10667639888}{3087} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -503 a + 193\) , \( 3157 a - 3444\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-503a+193\right){x}+3157a-3444$ |
| 28224.2-h2 |
28224.2-h |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{22} \cdot 3^{10} \cdot 7^{13} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.161471043$ |
2.237408416 |
\( \frac{2501041836936508}{124571584809} a - \frac{3039469496037370}{124571584809} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -2663 a + 3493\) , \( 28801 a + 52668\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-2663a+3493\right){x}+28801a+52668$ |
| 28224.2-h3 |
28224.2-h |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{22} \cdot 3^{22} \cdot 7^{7} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.161471043$ |
2.237408416 |
\( \frac{37641895204}{15752961} a - \frac{7331195590}{15752961} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 1657 a - 2027\) , \( 29617 a - 35172\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(1657a-2027\right){x}+29617a-35172$ |
| 28224.2-h4 |
28224.2-h |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
28224.2 |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{14} \cdot 7^{8} \) |
$2.00611$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.322942087$ |
2.237408416 |
\( -\frac{18014530528}{9529569} a + \frac{4574502524}{3176523} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -503 a + 253\) , \( 3961 a - 3060\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-503a+253\right){x}+3961a-3060$ |
*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.
