| 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 |
| 20736.1-CMf1 |
20736.1-CMf |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{16} \cdot 3^{12} \) |
$1.85729$ |
$(-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-3$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$1.857861931$ |
2.145274172 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( -24 a + 12\bigr] \) |
${y}^2={x}^{3}-24a+12$ |
| 20736.1-CMe1 |
20736.1-CMe |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{16} \cdot 3^{12} \) |
$1.85729$ |
$(-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-3$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$1.857861931$ |
2.145274172 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 24 a - 12\bigr] \) |
${y}^2={x}^{3}+24a-12$ |
| 20736.1-CMd1 |
20736.1-CMd |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{16} \cdot 3^{6} \) |
$1.85729$ |
$(-2a+1), (2)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-3$ |
$\mathrm{U}(1)$ |
✓ |
✓ |
|
✓ |
|
|
$1$ |
\( 2^{2} \cdot 3 \) |
$0.016899059$ |
$3.217911259$ |
3.014027543 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( -4\bigr] \) |
${y}^2={x}^{3}-4$ |
| 20736.1-CMc1 |
20736.1-CMc |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{24} \cdot 3^{12} \) |
$1.85729$ |
$(-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-3$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$3$ |
3Cs[2] |
$1$ |
\( 1 \) |
$1$ |
$1.170379677$ |
1.351438044 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( -96 a + 48\bigr] \) |
${y}^2={x}^{3}-96a+48$ |
| 20736.1-CMc2 |
20736.1-CMc |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{24} \cdot 3^{4} \) |
$1.85729$ |
$(-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-27$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$1.170379677$ |
1.351438044 |
\( -12288000 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 161 a - 160\) , \( 846 a - 343\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(161a-160\right){x}+846a-343$ |
| 20736.1-CMb1 |
20736.1-CMb |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{24} \cdot 3^{12} \) |
$1.85729$ |
$(-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-3$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$3$ |
3Cs[2] |
$1$ |
\( 1 \) |
$1$ |
$1.170379677$ |
1.351438044 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 96 a - 48\bigr] \) |
${y}^2={x}^{3}+96a-48$ |
| 20736.1-CMb2 |
20736.1-CMb |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{24} \cdot 3^{4} \) |
$1.85729$ |
$(-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-27$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$1.170379677$ |
1.351438044 |
\( -12288000 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -159 a\) , \( -1006 a + 503\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}-159a{x}-1006a+503$ |
| 20736.1-CMa1 |
20736.1-CMa |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{24} \cdot 3^{6} \) |
$1.85729$ |
$(-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-3$ |
$\mathrm{U}(1)$ |
✓ |
✓ |
|
✓ |
$3$ |
3Cs[2] |
$1$ |
\( 1 \) |
$1$ |
$2.027157066$ |
2.340759355 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( -16\bigr] \) |
${y}^2={x}^{3}-16$ |
| 20736.1-CMa2 |
20736.1-CMa |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{24} \cdot 3^{10} \) |
$1.85729$ |
$(-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-27$ |
$\mathrm{U}(1)$ |
✓ |
✓ |
|
✓ |
|
|
$1$ |
\( 3 \) |
$1$ |
$0.675719022$ |
2.340759355 |
\( -12288000 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -480 a + 480\) , \( -4048\bigr] \) |
${y}^2={x}^{3}+\left(-480a+480\right){x}-4048$ |
| 20736.1-a1 |
20736.1-a |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{22} \cdot 3^{10} \) |
$1.85729$ |
$(-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
✓ |
|
|
$1$ |
\( 2^{2} \cdot 3 \) |
$0.059518597$ |
$1.576208659$ |
2.599842304 |
\( -6 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -3 a + 3\) , \( 34\bigr] \) |
${y}^2={x}^{3}+\left(-3a+3\right){x}+34$ |
| 20736.1-b1 |
20736.1-b |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{22} \cdot 3^{4} \) |
$1.85729$ |
$(-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{2} \) |
$0.114166368$ |
$2.730073481$ |
2.879200302 |
\( -6 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 2 a - 1\) , \( 7 a - 3\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(2a-1\right){x}+7a-3$ |
| 20736.1-c1 |
20736.1-c |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{16} \cdot 3^{4} \) |
$1.85729$ |
$(-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2Cn |
$1$ |
\( 2 \) |
$0.177338562$ |
$3.612850964$ |
2.959256363 |
\( -3072 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( a + 4\) , \( 6 a - 1\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(a+4\right){x}+6a-1$ |
| 20736.1-d1 |
20736.1-d |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{26} \cdot 3^{4} \) |
$1.85729$ |
$(-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3B[2] |
$1$ |
\( 2 \) |
$1$ |
$0.813361710$ |
1.878378408 |
\( \frac{17268549}{2} a - \frac{246587109}{2} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -159 a - 327\) , \( -1657 a - 2032\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-159a-327\right){x}-1657a-2032$ |
| 20736.1-d2 |
20736.1-d |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{26} \cdot 3^{4} \) |
$1.85729$ |
$(-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3B[2] |
$1$ |
\( 2 \) |
$1$ |
$0.813361710$ |
1.878378408 |
\( -\frac{17268549}{2} a - 114659280 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 328 a + 160\) , \( -2144 a + 4016\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(328a+160\right){x}-2144a+4016$ |
| 20736.1-d3 |
20736.1-d |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{26} \cdot 3^{12} \) |
$1.85729$ |
$(-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3B[2] |
$1$ |
\( 2 \) |
$1$ |
$0.813361710$ |
1.878378408 |
\( -\frac{132651}{2} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 153\) , \( -852 a + 426\bigr] \) |
${y}^2={x}^{3}+153{x}-852a+426$ |
| 20736.1-d4 |
20736.1-d |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{42} \cdot 3^{4} \) |
$1.85729$ |
$(-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3B[2] |
$1$ |
\( 2 \) |
$1$ |
$0.813361710$ |
1.878378408 |
\( -\frac{1167051}{512} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a + 73\) , \( 343 a - 208\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(a+73\right){x}+343a-208$ |
| 20736.1-d5 |
20736.1-d |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{30} \cdot 3^{12} \) |
$1.85729$ |
$(-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3Cs[2] |
$1$ |
\( 2 \) |
$1$ |
$0.813361710$ |
1.878378408 |
\( \frac{9261}{8} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -63\) , \( 156 a - 78\bigr] \) |
${y}^2={x}^{3}-63{x}+156a-78$ |
| 20736.1-e1 |
20736.1-e |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{26} \cdot 3^{4} \) |
$1.85729$ |
$(-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3B[2] |
$1$ |
\( 2 \) |
$1$ |
$0.813361710$ |
1.878378408 |
\( \frac{17268549}{2} a - \frac{246587109}{2} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -159 a - 327\) , \( 1657 a + 2032\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-159a-327\right){x}+1657a+2032$ |
| 20736.1-e2 |
20736.1-e |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{26} \cdot 3^{4} \) |
$1.85729$ |
$(-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3B[2] |
$1$ |
\( 2 \) |
$1$ |
$0.813361710$ |
1.878378408 |
\( -\frac{17268549}{2} a - 114659280 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -486 a + 327\) , \( 1657 a - 3689\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-486a+327\right){x}+1657a-3689$ |
| 20736.1-e3 |
20736.1-e |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{26} \cdot 3^{12} \) |
$1.85729$ |
$(-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3B[2] |
$1$ |
\( 2 \) |
$1$ |
$0.813361710$ |
1.878378408 |
\( -\frac{132651}{2} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 153 a - 153\) , \( 852 a - 426\bigr] \) |
${y}^2={x}^{3}+\left(153a-153\right){x}+852a-426$ |
| 20736.1-e4 |
20736.1-e |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{42} \cdot 3^{4} \) |
$1.85729$ |
$(-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3B[2] |
$1$ |
\( 2 \) |
$1$ |
$0.813361710$ |
1.878378408 |
\( -\frac{1167051}{512} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 74 a - 73\) , \( -343 a + 135\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(74a-73\right){x}-343a+135$ |
| 20736.1-e5 |
20736.1-e |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{30} \cdot 3^{12} \) |
$1.85729$ |
$(-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3Cs[2] |
$1$ |
\( 2 \) |
$1$ |
$0.813361710$ |
1.878378408 |
\( \frac{9261}{8} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -63 a + 63\) , \( -156 a + 78\bigr] \) |
${y}^2={x}^{3}+\left(-63a+63\right){x}-156a+78$ |
| 20736.1-f1 |
20736.1-f |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{26} \cdot 3^{10} \) |
$1.85729$ |
$(-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3B[2] |
$1$ |
\( 2^{2} \) |
$0.693964260$ |
$0.469594602$ |
3.010367773 |
\( \frac{17268549}{2} a - \frac{246587109}{2} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -1461 a + 480\) , \( -18144 a + 17498\bigr] \) |
${y}^2={x}^{3}+\left(-1461a+480\right){x}-18144a+17498$ |
| 20736.1-f2 |
20736.1-f |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{26} \cdot 3^{10} \) |
$1.85729$ |
$(-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3B[2] |
$1$ |
\( 2^{2} \) |
$0.693964260$ |
$0.469594602$ |
3.010367773 |
\( -\frac{17268549}{2} a - 114659280 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -981 a - 480\) , \( 18144 a - 646\bigr] \) |
${y}^2={x}^{3}+\left(-981a-480\right){x}+18144a-646$ |
| 20736.1-f3 |
20736.1-f |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{26} \cdot 3^{6} \) |
$1.85729$ |
$(-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B[2] |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.077107140$ |
$1.408783806$ |
3.010367773 |
\( -\frac{132651}{2} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 51 a\) , \( -142\bigr] \) |
${y}^2={x}^{3}+51a{x}-142$ |
| 20736.1-f4 |
20736.1-f |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{42} \cdot 3^{10} \) |
$1.85729$ |
$(-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B[2] |
$1$ |
\( 2^{2} \) |
$0.693964260$ |
$0.469594602$ |
3.010367773 |
\( -\frac{1167051}{512} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 219 a\) , \( -1654\bigr] \) |
${y}^2={x}^{3}+219a{x}-1654$ |
| 20736.1-f5 |
20736.1-f |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{30} \cdot 3^{6} \) |
$1.85729$ |
$(-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3Cs[2] |
$1$ |
\( 2^{2} \) |
$0.231321420$ |
$1.408783806$ |
3.010367773 |
\( \frac{9261}{8} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -21 a\) , \( 26\bigr] \) |
${y}^2={x}^{3}-21a{x}+26$ |
| 20736.1-g1 |
20736.1-g |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{22} \cdot 3^{4} \) |
$1.85729$ |
$(-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{2} \) |
$0.114166368$ |
$2.730073481$ |
2.879200302 |
\( -6 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( a + 1\) , \( -7 a + 4\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(a+1\right){x}-7a+4$ |
| 20736.1-h1 |
20736.1-h |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{16} \cdot 3^{4} \) |
$1.85729$ |
$(-2a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2Cn |
$1$ |
\( 2 \) |
$0.177338562$ |
$3.612850964$ |
2.959256363 |
\( -3072 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -3 a\) , \( -2 a + 1\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}-3a{x}-2a+1$ |
| 20736.1-i1 |
20736.1-i |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
20736.1 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{16} \cdot 3^{10} \) |
$1.85729$ |
$(-2a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
✓ |
$2$ |
2Cn |
$1$ |
\( 1 \) |
$1$ |
$2.085880476$ |
2.408567309 |
\( -3072 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 12 a\) , \( -20\bigr] \) |
${y}^2={x}^{3}+12a{x}-20$ |
*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.
