| 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 |
| 16384.8-a1 |
16384.8-a |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{28} \) |
$2.67481$ |
$(a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.717596887$ |
$2.772397005$ |
3.007786033 |
\( 128 \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 3\) , \( 5\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+3{x}+5$ |
| 16384.8-a2 |
16384.8-a |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{14} \) |
$2.67481$ |
$(a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
✓ |
$2$ |
2B |
$1$ |
\( 1 \) |
$1.435193774$ |
$5.544794010$ |
3.007786033 |
\( 10976 \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -2\) , \( 2\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-2{x}+2$ |
| 16384.8-b1 |
16384.8-b |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{16} \) |
$2.67481$ |
$(a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.432331164$ |
$5.544794010$ |
3.624206465 |
\( 128 \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 1\) , \( 1\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+{x}+1$ |
| 16384.8-b2 |
16384.8-b |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{26} \) |
$2.67481$ |
$(a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.216165582$ |
$2.772397005$ |
3.624206465 |
\( 10976 \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -9\) , \( 7\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-9{x}+7$ |
| 16384.8-c1 |
16384.8-c |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{22} \) |
$2.67481$ |
$(a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.622038825$ |
$3.920761445$ |
3.687218575 |
\( 128 \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( a - 2\) , \( -a - 2\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(a-2\right){x}-a-2$ |
| 16384.8-c2 |
16384.8-c |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{20} \) |
$2.67481$ |
$(a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2 \) |
$1.244077651$ |
$3.920761445$ |
3.687218575 |
\( 10976 \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 2 a + 2\) , \( 2 a - 6\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(2a+2\right){x}+2a-6$ |
| 16384.8-d1 |
16384.8-d |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{22} \) |
$2.67481$ |
$(a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.622038825$ |
$3.920761445$ |
3.687218575 |
\( 128 \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -a - 1\) , \( a - 3\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-a-1\right){x}+a-3$ |
| 16384.8-d2 |
16384.8-d |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{20} \) |
$2.67481$ |
$(a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2 \) |
$1.244077651$ |
$3.920761445$ |
3.687218575 |
\( 10976 \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -2 a + 4\) , \( -2 a - 4\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-2a+4\right){x}-2a-4$ |
| 16384.8-e1 |
16384.8-e |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{21} \) |
$2.67481$ |
$(a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.640700602$ |
$3.954956079$ |
3.830961331 |
\( 1568 a - 1856 \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -a + 3\) , \( -3 a + 1\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-a+3\right){x}-3a+1$ |
| 16384.8-e2 |
16384.8-e |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{21} \) |
$2.67481$ |
$(a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.320350301$ |
$3.954956079$ |
3.830961331 |
\( -1568 a - 288 \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( a + 2\) , \( -3 a + 2\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(a+2\right){x}-3a+2$ |
| 16384.8-f1 |
16384.8-f |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{21} \) |
$2.67481$ |
$(a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$3.954956079$ |
1.494832890 |
\( 1568 a - 1856 \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -2 a\) , \( -2 a + 4\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}-2a{x}-2a+4$ |
| 16384.8-f2 |
16384.8-f |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{21} \) |
$2.67481$ |
$(a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$3.954956079$ |
1.494832890 |
\( -1568 a - 288 \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 2 a - 2\) , \( -2 a - 2\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(2a-2\right){x}-2a-2$ |
| 16384.8-g1 |
16384.8-g |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{21} \) |
$2.67481$ |
$(a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.320350301$ |
$3.954956079$ |
3.830961331 |
\( 1568 a - 1856 \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -a + 3\) , \( 3 a - 1\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-a+3\right){x}+3a-1$ |
| 16384.8-g2 |
16384.8-g |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{21} \) |
$2.67481$ |
$(a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.640700602$ |
$3.954956079$ |
3.830961331 |
\( -1568 a - 288 \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( a + 2\) , \( 3 a - 2\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(a+2\right){x}+3a-2$ |
| 16384.8-h1 |
16384.8-h |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{21} \) |
$2.67481$ |
$(a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$3.954956079$ |
1.494832890 |
\( 1568 a - 1856 \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -2 a\) , \( 2 a - 4\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}-2a{x}+2a-4$ |
| 16384.8-h2 |
16384.8-h |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{21} \) |
$2.67481$ |
$(a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$3.954956079$ |
1.494832890 |
\( -1568 a - 288 \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 2 a - 2\) , \( 2 a + 2\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(2a-2\right){x}+2a+2$ |
| 16384.8-i1 |
16384.8-i |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{27} \) |
$2.67481$ |
$(a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.796576263$ |
2.114012947 |
\( 1568 a - 1856 \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4 a - 5\) , \( -4 a + 3\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(4a-5\right){x}-4a+3$ |
| 16384.8-i2 |
16384.8-i |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{15} \) |
$2.67481$ |
$(a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$5.593152526$ |
2.114012947 |
\( -1568 a - 288 \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -a\) , \( -a\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-a{x}-a$ |
| 16384.8-j1 |
16384.8-j |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{15} \) |
$2.67481$ |
$(a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2 \) |
$1.085119046$ |
$5.593152526$ |
4.587911427 |
\( 1568 a - 1856 \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( a - 1\) , \( -a + 1\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(a-1\right){x}-a+1$ |
| 16384.8-j2 |
16384.8-j |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{27} \) |
$2.67481$ |
$(a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.542559523$ |
$2.796576263$ |
4.587911427 |
\( -1568 a - 288 \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -4 a - 1\) , \( -4 a + 1\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-4a-1\right){x}-4a+1$ |
| 16384.8-k1 |
16384.8-k |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{27} \) |
$2.67481$ |
$(a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.542559523$ |
$2.796576263$ |
4.587911427 |
\( 1568 a - 1856 \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 4 a - 5\) , \( 4 a - 3\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(4a-5\right){x}+4a-3$ |
| 16384.8-k2 |
16384.8-k |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{15} \) |
$2.67481$ |
$(a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2 \) |
$1.085119046$ |
$5.593152526$ |
4.587911427 |
\( -1568 a - 288 \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -a\) , \( a\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-a{x}+a$ |
| 16384.8-l1 |
16384.8-l |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{15} \) |
$2.67481$ |
$(a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$5.593152526$ |
2.114012947 |
\( 1568 a - 1856 \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( a - 1\) , \( a - 1\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(a-1\right){x}+a-1$ |
| 16384.8-l2 |
16384.8-l |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{27} \) |
$2.67481$ |
$(a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.796576263$ |
2.114012947 |
\( -1568 a - 288 \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -4 a - 1\) , \( 4 a - 1\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-4a-1\right){x}+4a-1$ |
| 16384.8-m1 |
16384.8-m |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{16} \) |
$2.67481$ |
$(a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.517572203$ |
$5.544794010$ |
4.338777031 |
\( 128 \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 1\) , \( -1\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+{x}-1$ |
| 16384.8-m2 |
16384.8-m |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{26} \) |
$2.67481$ |
$(a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.035144407$ |
$2.772397005$ |
4.338777031 |
\( 10976 \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -9\) , \( -7\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-9{x}-7$ |
| 16384.8-n1 |
16384.8-n |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{28} \) |
$2.67481$ |
$(a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.155140486$ |
$2.772397005$ |
4.841737031 |
\( 128 \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 3\) , \( -5\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+3{x}-5$ |
| 16384.8-n2 |
16384.8-n |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{14} \) |
$2.67481$ |
$(a), (-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
✓ |
$2$ |
2B |
$1$ |
\( 1 \) |
$2.310280972$ |
$5.544794010$ |
4.841737031 |
\( 10976 \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -2\) , \( -2\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-2{x}-2$ |
| 16384.8-o1 |
16384.8-o |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{22} \) |
$2.67481$ |
$(a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$3.920761445$ |
2.963817066 |
\( 128 \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -a - 1\) , \( -a + 3\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-a-1\right){x}-a+3$ |
| 16384.8-o2 |
16384.8-o |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{20} \) |
$2.67481$ |
$(a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$3.920761445$ |
2.963817066 |
\( 10976 \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -2 a + 4\) , \( 2 a + 4\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(-2a+4\right){x}+2a+4$ |
| 16384.8-p1 |
16384.8-p |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{22} \) |
$2.67481$ |
$(a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$3.920761445$ |
2.963817066 |
\( 128 \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( a - 2\) , \( a + 2\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(a-2\right){x}+a+2$ |
| 16384.8-p2 |
16384.8-p |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
16384.8 |
\( 2^{14} \) |
\( 2^{20} \) |
$2.67481$ |
$(a), (-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$3.920761445$ |
2.963817066 |
\( 10976 \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 2 a + 2\) , \( -2 a + 6\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(2a+2\right){x}-2a+6$ |
*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.
