| 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 |
| 16640.2-a1 |
16640.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{20} \cdot 5 \cdot 13^{4} \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.961109633$ |
$1.373707389$ |
2.640566811 |
\( \frac{3471825368}{142805} a - \frac{1326505996}{142805} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -38 i + 23\) , \( -11 i - 97\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(-38i+23\right){x}-11i-97$ |
| 16640.2-a2 |
16640.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{16} \cdot 5^{2} \cdot 13^{2} \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$0.480554816$ |
$2.747414779$ |
2.640566811 |
\( \frac{745536}{4225} a - \frac{656752}{4225} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( 2 i + 3\) , \( 5 i - 5\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(2i+3\right){x}+5i-5$ |
| 16640.2-a3 |
16640.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{8} \cdot 5 \cdot 13 \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 1 \) |
$0.961109633$ |
$5.494829559$ |
2.640566811 |
\( -\frac{733184}{65} a + \frac{247808}{65} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( 2 i - 2\) , \( i - 2\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(2i-2\right){x}+i-2$ |
| 16640.2-a4 |
16640.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{20} \cdot 5^{4} \cdot 13 \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.961109633$ |
$1.373707389$ |
2.640566811 |
\( -\frac{2684992152}{8125} a + \frac{3183399164}{8125} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( 42 i + 63\) , \( 197 i - 185\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(42i+63\right){x}+197i-185$ |
| 16640.2-b1 |
16640.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 5 \cdot 13 \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.627380842$ |
1.627380842 |
\( \frac{965386184}{65} a - \frac{555859168}{65} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( 74 i + 43\) , \( -11 i - 347\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(74i+43\right){x}-11i-347$ |
| 16640.2-b2 |
16640.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 5^{4} \cdot 13 \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$3.254761685$ |
1.627380842 |
\( -\frac{5112192}{8125} a + \frac{2058944}{8125} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( 2 i + 3\) , \( 5 i + 1\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(2i+3\right){x}+5i+1$ |
| 16640.2-b3 |
16640.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 5^{2} \cdot 13^{2} \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$3.254761685$ |
1.627380842 |
\( \frac{14964096}{4225} a + \frac{11995328}{4225} \) |
\( \bigl[0\) , \( -i + 1\) , \( 0\) , \( 4 i + 3\) , \( i + 7\bigr] \) |
${y}^2={x}^{3}+\left(-i+1\right){x}^{2}+\left(4i+3\right){x}+i+7$ |
| 16640.2-b4 |
16640.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 5 \cdot 13^{4} \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.627380842$ |
1.627380842 |
\( -\frac{1485988328}{142805} a + \frac{732787376}{142805} \) |
\( \bigl[0\) , \( -i + 1\) , \( 0\) , \( 14 i + 23\) , \( 35 i - 25\bigr] \) |
${y}^2={x}^{3}+\left(-i+1\right){x}^{2}+\left(14i+23\right){x}+35i-25$ |
| 16640.2-c1 |
16640.2-c |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 5^{2} \cdot 13 \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$2.608850978$ |
1.304425489 |
\( \frac{29953152}{325} a - \frac{430726464}{325} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -24 i - 1\) , \( -34 i + 30\bigr] \) |
${y}^2={x}^{3}+\left(-24i-1\right){x}-34i+30$ |
| 16640.2-c2 |
16640.2-c |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 5^{2} \cdot 13^{4} \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$1.304425489$ |
1.304425489 |
\( \frac{19739179656}{714025} a - \frac{22120152192}{714025} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 36 i - 41\) , \( -138 i + 76\bigr] \) |
${y}^2={x}^{3}+\left(36i-41\right){x}-138i+76$ |
| 16640.2-c3 |
16640.2-c |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{21} \cdot 5 \cdot 13^{8} \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.652212744$ |
1.304425489 |
\( \frac{1364516578566}{4078653605} a + \frac{159212753118}{4078653605} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -24 i - 61\) , \( 446 i + 120\bigr] \) |
${y}^2={x}^{3}+\left(-24i-61\right){x}+446i+120$ |
| 16640.2-c4 |
16640.2-c |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 5^{4} \cdot 13^{2} \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$2.608850978$ |
1.304425489 |
\( -\frac{103856256}{105625} a + \frac{72038592}{105625} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 6 i - 1\) , \( -2 i - 6\bigr] \) |
${y}^2={x}^{3}+\left(6i-1\right){x}-2i-6$ |
| 16640.2-c5 |
16640.2-c |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 5^{8} \cdot 13 \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.304425489$ |
1.304425489 |
\( \frac{10519172568}{5078125} a + \frac{9179052624}{5078125} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -24 i + 19\) , \( -30 i - 48\bigr] \) |
${y}^2={x}^{3}+\left(-24i+19\right){x}-30i-48$ |
| 16640.2-c6 |
16640.2-c |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{21} \cdot 5 \cdot 13^{2} \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.652212744$ |
1.304425489 |
\( -\frac{1482120806454}{845} a + \frac{204275951298}{845} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 576 i - 661\) , \( -8790 i + 4752\bigr] \) |
${y}^2={x}^{3}+\left(576i-661\right){x}-8790i+4752$ |
| 16640.2-d1 |
16640.2-d |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{19} \cdot 5^{12} \cdot 13 \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.756107341$ |
1.512214683 |
\( \frac{27981544028}{3173828125} a - \frac{4586040596}{3173828125} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -4 i - 14\) , \( -274 i - 132\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-4i-14\right){x}-274i-132$ |
| 16640.2-d2 |
16640.2-d |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{16} \cdot 5^{3} \cdot 13^{4} \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.512214683$ |
1.512214683 |
\( \frac{2019469952}{3570125} a + \frac{10326580736}{3570125} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( 6 i - 23\) , \( 15 i - 26\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(6i-23\right){x}+15i-26$ |
| 16640.2-d3 |
16640.2-d |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{14} \cdot 5^{6} \cdot 13^{2} \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$1.512214683$ |
1.512214683 |
\( -\frac{28385412384}{2640625} a + \frac{73700573888}{2640625} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -14 i + 36\) , \( -70 i - 60\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-14i+36\right){x}-70i-60$ |
| 16640.2-d4 |
16640.2-d |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{19} \cdot 5^{3} \cdot 13 \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2 \) |
$1$ |
$0.756107341$ |
1.512214683 |
\( -\frac{949079039916}{1625} a + \frac{1010847968212}{1625} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -224 i + 566\) , \( -4802 i - 3284\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-224i+566\right){x}-4802i-3284$ |
| 16640.2-e1 |
16640.2-e |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{16} \cdot 5^{6} \cdot 13 \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.110721770$ |
$1.973835787$ |
2.622559107 |
\( -\frac{36002688}{203125} a + \frac{281129216}{203125} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -10 i - 5\) , \( 6 i + 9\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-10i-5\right){x}+6i+9$ |
| 16640.2-e2 |
16640.2-e |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{14} \cdot 5^{3} \cdot 13^{2} \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.221443540$ |
$1.973835787$ |
2.622559107 |
\( \frac{3615331168}{21125} a + \frac{179191424}{21125} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( 30 i + 6\) , \( 28 i + 68\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(30i+6\right){x}+28i+68$ |
| 16640.2-f1 |
16640.2-f |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{16} \cdot 5^{2} \cdot 13 \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.246010947$ |
$3.385308722$ |
3.331292019 |
\( \frac{116352}{325} a + \frac{263936}{325} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -2 i - 3\) , \( -3 i + 2\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-2i-3\right){x}-3i+2$ |
| 16640.2-f2 |
16640.2-f |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{14} \cdot 5 \cdot 13^{2} \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.492021894$ |
$3.385308722$ |
3.331292019 |
\( -\frac{916768}{845} a + \frac{2571776}{845} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -2 i - 4\) , \( -2 i - 4\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-2i-4\right){x}-2i-4$ |
| 16640.2-g1 |
16640.2-g |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 5^{9} \cdot 13^{2} \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$0.425218322$ |
1.913482450 |
\( -\frac{157034896049234432}{330078125} a - \frac{128574568523373376}{330078125} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 958 i - 1598\) , \( -22952 i + 21014\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(958i-1598\right){x}-22952i+21014$ |
| 16640.2-g2 |
16640.2-g |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 5^{6} \cdot 13^{3} \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$1.275654967$ |
1.913482450 |
\( -\frac{2088753403392}{34328125} a - \frac{1627055822656}{34328125} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -62 i + 16\) , \( -102 i + 186\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-62i+16\right){x}-102i+186$ |
| 16640.2-g3 |
16640.2-g |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 5^{2} \cdot 13 \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2 \) |
$1$ |
$3.826964901$ |
1.913482450 |
\( \frac{732672}{325} a - \frac{3306304}{325} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -2 i - 4\) , \( 2 i + 2\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-2i-4\right){x}+2i+2$ |
| 16640.2-g4 |
16640.2-g |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 5^{18} \cdot 13 \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$0.425218322$ |
1.913482450 |
\( \frac{1110974116587520512}{49591064453125} a - \frac{489671365797093184}{49591064453125} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -242 i + 396\) , \( -2822 i - 2646\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-242i+396\right){x}-2822i-2646$ |
| 16640.2-g5 |
16640.2-g |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 5 \cdot 13^{2} \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2 \) |
$1$ |
$3.826964901$ |
1.913482450 |
\( -\frac{1183232}{845} a - \frac{851776}{845} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -2 i + 2\) , \( -2\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-2i+2\right){x}-2$ |
| 16640.2-g6 |
16640.2-g |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 5^{3} \cdot 13^{6} \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$1.275654967$ |
1.913482450 |
\( \frac{356394317312}{603351125} a + \frac{580261889216}{603351125} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 18 i - 18\) , \( -16 i + 38\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(18i-18\right){x}-16i+38$ |
| 16640.2-h1 |
16640.2-h |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{14} \cdot 5^{6} \cdot 13 \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.273985436$ |
$2.118431341$ |
3.482516010 |
\( -\frac{620935008}{203125} a + \frac{437411456}{203125} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -8 i + 9\) , \( -3 i - 21\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-8i+9\right){x}-3i-21$ |
| 16640.2-h2 |
16640.2-h |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{16} \cdot 5^{3} \cdot 13^{2} \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.136992718$ |
$2.118431341$ |
3.482516010 |
\( \frac{279628672}{21125} a + \frac{79421696}{21125} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( 4 i - 16\) , \( -16 i + 28\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(4i-16\right){x}-16i+28$ |
| 16640.2-i1 |
16640.2-i |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{16} \cdot 5 \cdot 13^{2} \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$3.176319700$ |
3.176319700 |
\( -\frac{3712}{845} a - \frac{256}{845} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 0\) , \( -4 i\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}-4i$ |
| 16640.2-i2 |
16640.2-i |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.2 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{14} \cdot 5^{2} \cdot 13 \) |
$2.02982$ |
$(a+1), (-a-2), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$3.176319700$ |
3.176319700 |
\( \frac{3009312}{325} a + \frac{10466816}{325} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( -8 i + 5\) , \( 3 i - 9\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(-8i+5\right){x}+3i-9$ |
*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.
