| 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 |
| 9216.1-a1 |
9216.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{10} \) |
$1.51647$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.287659545$ |
$1.661003709$ |
2.206880166 |
\( \frac{188632}{9} a - \frac{255448}{9} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 33 a - 3\) , \( 9 a - 72\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(33a-3\right){x}+9a-72$ |
| 9216.1-a2 |
9216.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{8} \) |
$1.51647$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$0.575319090$ |
$3.322007419$ |
2.206880166 |
\( \frac{1216}{3} a - 384 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 3 a - 3\) , \( 3 a - 6\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(3a-3\right){x}+3a-6$ |
| 9216.1-a3 |
9216.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{24} \cdot 3^{7} \) |
$1.51647$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.287659545$ |
$1.661003709$ |
2.206880166 |
\( -\frac{27712}{3} a + \frac{20672}{3} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -27 a + 12\) , \( 30 a - 33\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-27a+12\right){x}+30a-33$ |
| 9216.1-a4 |
9216.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{7} \) |
$1.51647$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.150638181$ |
$1.661003709$ |
2.206880166 |
\( -\frac{2285576}{3} a + \frac{2214136}{3} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 33 a - 63\) , \( 129 a - 204\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(33a-63\right){x}+129a-204$ |
| 9216.1-b1 |
9216.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{14} \) |
$1.51647$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.354096709$ |
1.563576199 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -22 a + 23\) , \( -25 a + 1\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-22a+23\right){x}-25a+1$ |
| 9216.1-b2 |
9216.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{10} \) |
$1.51647$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$2.708193418$ |
1.563576199 |
\( \frac{21952}{9} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 8 a - 7\) , \( -7 a + 7\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(8a-7\right){x}-7a+7$ |
| 9216.1-b3 |
9216.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{24} \cdot 3^{8} \) |
$1.51647$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.354096709$ |
1.563576199 |
\( \frac{140608}{3} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 53 a - 52\) , \( 146 a - 47\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(53a-52\right){x}+146a-47$ |
| 9216.1-b4 |
9216.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{8} \) |
$1.51647$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.354096709$ |
1.563576199 |
\( \frac{7301384}{3} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 98 a - 97\) , \( -457 a + 277\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(98a-97\right){x}-457a+277$ |
| 9216.1-c1 |
9216.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{10} \) |
$1.51647$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.287659545$ |
$1.661003709$ |
2.206880166 |
\( -\frac{188632}{9} a - 7424 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -31 a + 29\) , \( 23 a - 92\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-31a+29\right){x}+23a-92$ |
| 9216.1-c2 |
9216.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{8} \) |
$1.51647$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$0.575319090$ |
$3.322007419$ |
2.206880166 |
\( -\frac{1216}{3} a + \frac{64}{3} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -a - 1\) , \( -a - 2\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-a-1\right){x}-a-2$ |
| 9216.1-c3 |
9216.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{24} \cdot 3^{7} \) |
$1.51647$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.287659545$ |
$1.661003709$ |
2.206880166 |
\( \frac{27712}{3} a - \frac{7040}{3} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 29 a - 16\) , \( -58 a + 13\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(29a-16\right){x}-58a+13$ |
| 9216.1-c4 |
9216.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{7} \) |
$1.51647$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.150638181$ |
$1.661003709$ |
2.206880166 |
\( \frac{2285576}{3} a - \frac{71440}{3} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -31 a - 31\) , \( -97 a - 44\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-31a-31\right){x}-97a-44$ |
| 9216.1-d1 |
9216.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{6} \) |
$1.51647$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{potential}$ |
$-4$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$0.501182392$ |
$3.969390382$ |
2.297148049 |
\( 1728 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 3 a - 3\) , \( 0\bigr] \) |
${y}^2={x}^{3}+\left(3a-3\right){x}$ |
| 9216.1-d2 |
9216.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{24} \cdot 3^{6} \) |
$1.51647$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-4$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
|
|
$1$ |
\( 2^{3} \) |
$0.250591196$ |
$1.984695191$ |
2.297148049 |
\( 1728 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -12 a + 12\) , \( 0\bigr] \) |
${y}^2={x}^{3}+\left(-12a+12\right){x}$ |
| 9216.1-d3 |
9216.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{6} \) |
$1.51647$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-16$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2 \) |
$1.002364784$ |
$1.984695191$ |
2.297148049 |
\( 287496 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 33 a - 33\) , \( 84 a - 42\bigr] \) |
${y}^2={x}^{3}+\left(33a-33\right){x}+84a-42$ |
| 9216.1-d4 |
9216.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{6} \) |
$1.51647$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-16$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2 \) |
$1.002364784$ |
$1.984695191$ |
2.297148049 |
\( 287496 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 33 a - 33\) , \( -84 a + 42\bigr] \) |
${y}^2={x}^{3}+\left(33a-33\right){x}-84a+42$ |
| 9216.1-e1 |
9216.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{10} \) |
$1.51647$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.661003709$ |
1.917961877 |
\( -\frac{188632}{9} a - 7424 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 4 a - 32\) , \( -20 a + 60\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(4a-32\right){x}-20a+60$ |
| 9216.1-e2 |
9216.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{8} \) |
$1.51647$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$3.322007419$ |
1.917961877 |
\( -\frac{1216}{3} a + \frac{64}{3} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 4 a - 2\) , \( 4 a\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(4a-2\right){x}+4a$ |
| 9216.1-e3 |
9216.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{24} \cdot 3^{7} \) |
$1.51647$ |
$(-2a+1), (2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$1.661003709$ |
1.917961877 |
\( \frac{27712}{3} a - \frac{7040}{3} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -11 a + 28\) , \( 46 a + 15\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-11a+28\right){x}+46a+15$ |
| 9216.1-e4 |
9216.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{7} \) |
$1.51647$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.661003709$ |
1.917961877 |
\( \frac{2285576}{3} a - \frac{71440}{3} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 64 a - 32\) , \( 160 a + 12\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(64a-32\right){x}+160a+12$ |
| 9216.1-f1 |
9216.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{14} \) |
$1.51647$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.354096709$ |
1.563576199 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 24 a\) , \( 48 a - 24\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+24a{x}+48a-24$ |
| 9216.1-f2 |
9216.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{10} \) |
$1.51647$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$2.708193418$ |
1.563576199 |
\( \frac{21952}{9} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -6 a\) , \( 0\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}-6a{x}$ |
| 9216.1-f3 |
9216.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{24} \cdot 3^{8} \) |
$1.51647$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.354096709$ |
1.563576199 |
\( \frac{140608}{3} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -51 a\) , \( -198 a + 99\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}-51a{x}-198a+99$ |
| 9216.1-f4 |
9216.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{8} \) |
$1.51647$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.354096709$ |
1.563576199 |
\( \frac{7301384}{3} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -96 a\) , \( 360 a - 180\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}-96a{x}+360a-180$ |
| 9216.1-g1 |
9216.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{10} \) |
$1.51647$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.661003709$ |
1.917961877 |
\( \frac{188632}{9} a - \frac{255448}{9} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -2 a - 29\) , \( 23 a + 69\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-2a-29\right){x}+23a+69$ |
| 9216.1-g2 |
9216.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{8} \) |
$1.51647$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$3.322007419$ |
1.917961877 |
\( \frac{1216}{3} a - 384 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -2 a + 1\) , \( -a + 3\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-2a+1\right){x}-a+3$ |
| 9216.1-g3 |
9216.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{24} \cdot 3^{7} \) |
$1.51647$ |
$(-2a+1), (2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$1.661003709$ |
1.917961877 |
\( -\frac{27712}{3} a + \frac{20672}{3} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 13 a + 16\) , \( -58 a + 45\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(13a+16\right){x}-58a+45$ |
| 9216.1-g4 |
9216.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9216.1 |
\( 2^{10} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{7} \) |
$1.51647$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.661003709$ |
1.917961877 |
\( -\frac{2285576}{3} a + \frac{2214136}{3} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -62 a + 31\) , \( -97 a + 141\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-62a+31\right){x}-97a+141$ |
*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.
