| 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 |
| 57800.6-a1 |
57800.6-a |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 5^{4} \cdot 17^{3} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.137996157$ |
2.137996157 |
\( \frac{71702}{125} a + \frac{470336}{125} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( -11 i + 7\) , \( 10 i + 15\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-11i+7\right){x}+10i+15$ |
| 57800.6-a2 |
57800.6-a |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{11} \cdot 5^{8} \cdot 17^{3} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.068998078$ |
2.137996157 |
\( -\frac{70930131}{15625} a + \frac{299889467}{15625} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( -61 i + 37\) , \( 30 i - 201\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-61i+37\right){x}+30i-201$ |
| 57800.6-b1 |
57800.6-b |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{4} \cdot 17^{7} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$2.303606929$ |
$0.217024174$ |
3.999507146 |
\( \frac{2226135040016}{425} a - \frac{4178441913604}{425} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( 6933 i + 6265\) , \( 109144 i - 335983\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(6933i+6265\right){x}+109144i-335983$ |
| 57800.6-b2 |
57800.6-b |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{4} \cdot 5^{8} \cdot 17^{8} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1.151803464$ |
$0.434048349$ |
3.999507146 |
\( -\frac{18495673728}{180625} a - \frac{897072368}{36125} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( 433 i + 390\) , \( 1769 i - 5508\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(433i+390\right){x}+1769i-5508$ |
| 57800.6-b3 |
57800.6-b |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 5^{5} \cdot 17^{14} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$4.607213858$ |
$0.108512087$ |
3.999507146 |
\( \frac{624467745025896476}{4359848400625} a - \frac{74500491067519382}{4359848400625} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( -5887 i + 7905\) , \( -212070 i - 307155\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-5887i+7905\right){x}-212070i-307155$ |
| 57800.6-b4 |
57800.6-b |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{10} \cdot 17^{10} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$2.303606929$ |
$0.217024174$ |
3.999507146 |
\( -\frac{1142278337424}{32625390625} a + \frac{4669682943668}{32625390625} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( 13 i + 455\) , \( -1940 i - 12245\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(13i+455\right){x}-1940i-12245$ |
| 57800.6-b5 |
57800.6-b |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{10} \cdot 17^{7} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$0.575901732$ |
$0.434048349$ |
3.999507146 |
\( \frac{2845155328}{6640625} a + \frac{8254109696}{6640625} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -216 i - 77\) , \( -261 i + 979\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-216i-77\right){x}-261i+979$ |
| 57800.6-b6 |
57800.6-b |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 5^{17} \cdot 17^{8} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$4.607213858$ |
$0.108512087$ |
3.999507146 |
\( \frac{54765023102363044}{44097900390625} a + \frac{449923792854324742}{44097900390625} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( -807 i - 5955\) , \( -37466 i - 157543\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-807i-5955\right){x}-37466i-157543$ |
| 57800.6-c1 |
57800.6-c |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \) |
$0.207456378$ |
$5.029645956$ |
4.173728546 |
\( 2048 a - \frac{6144}{5} \) |
\( \bigl[0\) , \( i\) , \( i + 1\) , \( -i - 2\) , \( 1\bigr] \) |
${y}^2+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(-i-2\right){x}+1$ |
| 57800.6-d1 |
57800.6-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 5^{10} \cdot 17^{6} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$4$ |
\( 2^{5} \) |
$1$ |
$0.363426171$ |
2.907409369 |
\( -\frac{35999730234}{390625} a - \frac{51700389912}{390625} \) |
\( \bigl[i + 1\) , \( i\) , \( 0\) , \( 104 i + 888\) , \( 10640 i - 1820\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(104i+888\right){x}+10640i-1820$ |
| 57800.6-d2 |
57800.6-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 5^{10} \cdot 17^{6} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1$ |
$0.363426171$ |
2.907409369 |
\( \frac{35999730234}{390625} a - \frac{51700389912}{390625} \) |
\( \bigl[i + 1\) , \( i\) , \( 0\) , \( -796 i + 408\) , \( 936 i - 9924\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(-796i+408\right){x}+936i-9924$ |
| 57800.6-d3 |
57800.6-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{8} \cdot 17^{6} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$0.726852342$ |
2.907409369 |
\( \frac{237276}{625} \) |
\( \bigl[i + 1\) , \( i\) , \( 0\) , \( -26 i + 48\) , \( 224 i - 208\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(-26i+48\right){x}+224i-208$ |
| 57800.6-d4 |
57800.6-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{11} \cdot 5^{17} \cdot 17^{6} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.181713085$ |
2.907409369 |
\( -\frac{22845545233191}{152587890625} a + \frac{135893651813613}{152587890625} \) |
\( \bigl[i + 1\) , \( i\) , \( 0\) , \( -1166 i + 18\) , \( -12356 i - 7688\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(-1166i+18\right){x}-12356i-7688$ |
| 57800.6-d5 |
57800.6-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{11} \cdot 5^{17} \cdot 17^{6} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$16$ |
\( 2^{2} \) |
$1$ |
$0.181713085$ |
2.907409369 |
\( \frac{22845545233191}{152587890625} a + \frac{135893651813613}{152587890625} \) |
\( \bigl[i + 1\) , \( i\) , \( 0\) , \( 634 i + 978\) , \( 9964 i + 11152\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(634i+978\right){x}+9964i+11152$ |
| 57800.6-d6 |
57800.6-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{4} \cdot 5^{4} \cdot 17^{6} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$1.453704684$ |
2.907409369 |
\( \frac{148176}{25} \) |
\( \bigl[i + 1\) , \( i\) , \( 0\) , \( 14 i - 27\) , \( 22 i - 46\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(14i-27\right){x}+22i-46$ |
| 57800.6-d7 |
57800.6-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 17^{6} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.453704684$ |
2.907409369 |
\( \frac{55296}{5} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -16 i + 30\) , \( -52 i - 47\bigr] \) |
${y}^2={x}^{3}+\left(-16i+30\right){x}-52i-47$ |
| 57800.6-d8 |
57800.6-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 17^{6} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$0.726852342$ |
2.907409369 |
\( \frac{132304644}{5} \) |
\( \bigl[i + 1\) , \( i\) , \( 0\) , \( 214 i - 402\) , \( 2302 i - 2876\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(214i-402\right){x}+2302i-2876$ |
| 57800.6-d9 |
57800.6-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{11} \cdot 5^{5} \cdot 17^{6} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$4$ |
\( 2^{4} \) |
$1$ |
$0.181713085$ |
2.907409369 |
\( -\frac{15332659200009}{625} a + \frac{5763174879987}{625} \) |
\( \bigl[i + 1\) , \( i\) , \( 0\) , \( -12746 i + 6558\) , \( 51156 i - 652464\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(-12746i+6558\right){x}+51156i-652464$ |
| 57800.6-d10 |
57800.6-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{11} \cdot 5^{5} \cdot 17^{6} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$16$ |
\( 2^{2} \) |
$1$ |
$0.181713085$ |
2.907409369 |
\( \frac{15332659200009}{625} a + \frac{5763174879987}{625} \) |
\( \bigl[i + 1\) , \( i\) , \( 0\) , \( 1654 i + 14238\) , \( 657780 i - 114840\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(1654i+14238\right){x}+657780i-114840$ |
| 57800.6-e1 |
57800.6-e |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 5^{4} \cdot 17^{9} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.518540234$ |
1.555620703 |
\( \frac{71702}{125} a + \frac{470336}{125} \) |
\( \bigl[i + 1\) , \( -1\) , \( i + 1\) , \( 208 i - 31\) , \( -850 i - 449\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}-{x}^{2}+\left(208i-31\right){x}-850i-449$ |
| 57800.6-e2 |
57800.6-e |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{11} \cdot 5^{8} \cdot 17^{9} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.259270117$ |
1.555620703 |
\( -\frac{70930131}{15625} a + \frac{299889467}{15625} \) |
\( \bigl[i + 1\) , \( -1\) , \( i + 1\) , \( 1198 i - 81\) , \( 11372 i + 9653\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}-{x}^{2}+\left(1198i-81\right){x}+11372i+9653$ |
| 57800.6-f1 |
57800.6-f |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 17^{8} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \) |
$1$ |
$1.219868325$ |
2.439736651 |
\( 2048 a - \frac{6144}{5} \) |
\( \bigl[0\) , \( -i + 1\) , \( i + 1\) , \( i + 33\) , \( 75 i - 14\bigr] \) |
${y}^2+\left(i+1\right){y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(i+33\right){x}+75i-14$ |
| 57800.6-g1 |
57800.6-g |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{4} \cdot 5^{6} \cdot 17^{8} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$0.738190738$ |
2.952762954 |
\( -\frac{33574464}{180625} a + \frac{283128848}{180625} \) |
\( \bigl[i + 1\) , \( -i - 1\) , \( 0\) , \( -83 i + 12\) , \( -91 i - 28\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-83i+12\right){x}-91i-28$ |
| 57800.6-g2 |
57800.6-g |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{6} \cdot 17^{7} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.738190738$ |
2.952762954 |
\( \frac{2306048}{10625} a + \frac{19982336}{10625} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -86 i + 18\) , \( -16 i - 85\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(-86i+18\right){x}-16i-85$ |
| 57800.6-g3 |
57800.6-g |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{9} \cdot 17^{7} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$1$ |
$0.369095369$ |
2.952762954 |
\( \frac{932738084712}{6640625} a + \frac{486943284916}{6640625} \) |
\( \bigl[i + 1\) , \( -i - 1\) , \( 0\) , \( -813 i + 297\) , \( 2696 i - 9697\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-813i+297\right){x}+2696i-9697$ |
| 57800.6-g4 |
57800.6-g |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
57800.6 |
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{3} \cdot 17^{10} \) |
$2.77109$ |
$(a+1), (-a-2), (2a+1), (a-4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.369095369$ |
2.952762954 |
\( -\frac{932967242152}{2088025} a + \frac{369264775804}{2088025} \) |
\( \bigl[i + 1\) , \( -i - 1\) , \( 0\) , \( -1033 i - 13\) , \( -8876 i + 8677\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-1033i-13\right){x}-8876i+8677$ |
*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.
