| 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 |
| 288.2-a1 |
288.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{9} \cdot 3^{10} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.168950466$ |
$2.345364298$ |
1.120765359 |
\( -\frac{1056226562}{6561} a - \frac{605268760}{6561} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -5 a + 22\) , \( 26 a + 23\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(-5a+22\right){x}+26a+23$ |
| 288.2-a2 |
288.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{9} \cdot 3^{10} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.168950466$ |
$2.345364298$ |
1.120765359 |
\( \frac{1056226562}{6561} a - \frac{605268760}{6561} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 5 a + 22\) , \( -26 a + 23\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(5a+22\right){x}-26a+23$ |
| 288.2-a3 |
288.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{6} \cdot 3^{8} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$0.337900933$ |
$4.690728597$ |
1.120765359 |
\( \frac{97336}{81} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 2\) , \( 1\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+2{x}+1$ |
| 288.2-a4 |
288.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{4} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$0.675801867$ |
$4.690728597$ |
1.120765359 |
\( \frac{21952}{9} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -2\) , \( 0\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-2{x}$ |
| 288.2-a5 |
288.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{2} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1.351603734$ |
$4.690728597$ |
1.120765359 |
\( \frac{140608}{3} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -4\) , \( -2\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-4{x}-2$ |
| 288.2-a6 |
288.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{6} \cdot 3^{2} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1.351603734$ |
$4.690728597$ |
1.120765359 |
\( \frac{7301384}{3} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -7\) , \( 8\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-7{x}+8$ |
| 288.2-b1 |
288.2-b |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{9} \cdot 3^{5} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$1.676746415$ |
1.185638761 |
\( -\frac{15347957750}{81} a - \frac{35138997500}{81} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 79 a - 32\) , \( -374 a - 215\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(79a-32\right){x}-374a-215$ |
| 288.2-b2 |
288.2-b |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{9} \cdot 3^{5} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.676746415$ |
1.185638761 |
\( \frac{15347957750}{81} a - \frac{35138997500}{81} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( -81 a - 31\) , \( -294 a + 248\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-81a-31\right){x}-294a+248$ |
| 288.2-b3 |
288.2-b |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{8} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$3.353492831$ |
1.185638761 |
\( -\frac{8000}{81} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 1\) , \( 3 a\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+{x}+3a$ |
| 288.2-b4 |
288.2-b |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{9} \cdot 3^{17} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.676746415$ |
1.185638761 |
\( -\frac{56997401750}{43046721} a + \frac{87757407500}{43046721} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( -11 a - 11\) , \( 16 a + 28\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-11a-11\right){x}+16a+28$ |
| 288.2-b5 |
288.2-b |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{9} \cdot 3^{17} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$1.676746415$ |
1.185638761 |
\( \frac{56997401750}{43046721} a + \frac{87757407500}{43046721} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 9 a - 12\) , \( 6 a - 15\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(9a-12\right){x}+6a-15$ |
| 288.2-b6 |
288.2-b |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{6} \cdot 3^{10} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$3.353492831$ |
1.185638761 |
\( -\frac{100738000}{6561} a + \frac{45365000}{6561} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 4 a - 2\) , \( -8 a - 5\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(4a-2\right){x}-8a-5$ |
| 288.2-b7 |
288.2-b |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{6} \cdot 3^{10} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$3.353492831$ |
1.185638761 |
\( \frac{100738000}{6561} a + \frac{45365000}{6561} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( -6 a - 1\) , \( -3 a + 8\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-6a-1\right){x}-3a+8$ |
| 288.2-b8 |
288.2-b |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{4} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$3.353492831$ |
1.185638761 |
\( \frac{2744000}{9} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 11\) , \( -7 a\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+11{x}-7a$ |
| 288.2-c1 |
288.2-c |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{9} \cdot 3^{5} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.676746415$ |
1.185638761 |
\( -\frac{15347957750}{81} a - \frac{35138997500}{81} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 81 a - 31\) , \( 294 a + 248\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(81a-31\right){x}+294a+248$ |
| 288.2-c2 |
288.2-c |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{9} \cdot 3^{5} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$1.676746415$ |
1.185638761 |
\( \frac{15347957750}{81} a - \frac{35138997500}{81} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -79 a - 32\) , \( 374 a - 215\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-79a-32\right){x}+374a-215$ |
| 288.2-c3 |
288.2-c |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{8} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$3.353492831$ |
1.185638761 |
\( -\frac{8000}{81} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 1\) , \( -3 a\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+{x}-3a$ |
| 288.2-c4 |
288.2-c |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{9} \cdot 3^{17} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$1.676746415$ |
1.185638761 |
\( -\frac{56997401750}{43046721} a + \frac{87757407500}{43046721} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -9 a - 12\) , \( -6 a - 15\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-9a-12\right){x}-6a-15$ |
| 288.2-c5 |
288.2-c |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{9} \cdot 3^{17} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.676746415$ |
1.185638761 |
\( \frac{56997401750}{43046721} a + \frac{87757407500}{43046721} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 11 a - 11\) , \( -16 a + 28\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(11a-11\right){x}-16a+28$ |
| 288.2-c6 |
288.2-c |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{6} \cdot 3^{10} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$3.353492831$ |
1.185638761 |
\( -\frac{100738000}{6561} a + \frac{45365000}{6561} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 6 a - 1\) , \( 3 a + 8\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(6a-1\right){x}+3a+8$ |
| 288.2-c7 |
288.2-c |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{6} \cdot 3^{10} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$3.353492831$ |
1.185638761 |
\( \frac{100738000}{6561} a + \frac{45365000}{6561} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -4 a - 2\) , \( 8 a - 5\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-4a-2\right){x}+8a-5$ |
| 288.2-c8 |
288.2-c |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{4} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$3.353492831$ |
1.185638761 |
\( \frac{2744000}{9} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 11\) , \( 7 a\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+11{x}+7a$ |
| 288.2-d1 |
288.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{9} \cdot 3^{10} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$2.345364298$ |
1.658422999 |
\( -\frac{1056226562}{6561} a - \frac{605268760}{6561} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( -5 a + 22\) , \( -26 a - 23\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-5a+22\right){x}-26a-23$ |
| 288.2-d2 |
288.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{9} \cdot 3^{10} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$2.345364298$ |
1.658422999 |
\( \frac{1056226562}{6561} a - \frac{605268760}{6561} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 5 a + 22\) , \( 26 a - 23\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(5a+22\right){x}+26a-23$ |
| 288.2-d3 |
288.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{6} \cdot 3^{8} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$4.690728597$ |
1.658422999 |
\( \frac{97336}{81} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 2\) , \( -1\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+2{x}-1$ |
| 288.2-d4 |
288.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{4} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$4.690728597$ |
1.658422999 |
\( \frac{21952}{9} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -2\) , \( 0\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-2{x}$ |
| 288.2-d5 |
288.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{2} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$4.690728597$ |
1.658422999 |
\( \frac{140608}{3} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -4\) , \( 2\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-4{x}+2$ |
| 288.2-d6 |
288.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
288.2 |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{6} \cdot 3^{2} \) |
$1.04119$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$4.690728597$ |
1.658422999 |
\( \frac{7301384}{3} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -7\) , \( -7\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-7{x}-7$ |
*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.
