| 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 |
| 6400.2-a1 |
6400.2-a |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{22} \cdot 5^{10} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1.444410676$ |
$0.749222245$ |
2.164369220 |
\( -\frac{35999730234}{390625} a - \frac{51700389912}{390625} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -120 i - 173\) , \( -930 i - 728\bigr] \) |
${y}^2={x}^{3}+\left(-120i-173\right){x}-930i-728$ |
| 6400.2-a2 |
6400.2-a |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{22} \cdot 5^{10} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1.444410676$ |
$0.749222245$ |
2.164369220 |
\( \frac{35999730234}{390625} a - \frac{51700389912}{390625} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 120 i - 173\) , \( 930 i - 728\bigr] \) |
${y}^2={x}^{3}+\left(120i-173\right){x}+930i-728$ |
| 6400.2-a3 |
6400.2-a |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{20} \cdot 5^{8} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$0.722205338$ |
$1.498444490$ |
2.164369220 |
\( \frac{237276}{625} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -13\) , \( 34 i\bigr] \) |
${y}^2={x}^{3}-13{x}+34i$ |
| 6400.2-a4 |
6400.2-a |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{23} \cdot 5^{17} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$2.888821352$ |
$0.374611122$ |
2.164369220 |
\( -\frac{22845545233191}{152587890625} a + \frac{135893651813613}{152587890625} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 240 i - 133\) , \( -246 i - 1680\bigr] \) |
${y}^2={x}^{3}+\left(240i-133\right){x}-246i-1680$ |
| 6400.2-a5 |
6400.2-a |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{23} \cdot 5^{17} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$2.888821352$ |
$0.374611122$ |
2.164369220 |
\( \frac{22845545233191}{152587890625} a + \frac{135893651813613}{152587890625} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -240 i - 133\) , \( 246 i - 1680\bigr] \) |
${y}^2={x}^{3}+\left(-240i-133\right){x}+246i-1680$ |
| 6400.2-a6 |
6400.2-a |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$0.361102669$ |
$2.996888981$ |
2.164369220 |
\( \frac{148176}{25} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 7\) , \( -6 i\bigr] \) |
${y}^2={x}^{3}+7{x}-6i$ |
| 6400.2-a7 |
6400.2-a |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{2} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 1 \) |
$0.722205338$ |
$5.993777963$ |
2.164369220 |
\( \frac{55296}{5} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 2\) , \( -i\bigr] \) |
${y}^2={x}^{3}+2{x}-i$ |
| 6400.2-a8 |
6400.2-a |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{20} \cdot 5^{2} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.722205338$ |
$1.498444490$ |
2.164369220 |
\( \frac{132304644}{5} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 107\) , \( -426 i\bigr] \) |
${y}^2={x}^{3}+107{x}-426i$ |
| 6400.2-a9 |
6400.2-a |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{23} \cdot 5^{5} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$2.888821352$ |
$0.374611122$ |
2.164369220 |
\( -\frac{15332659200009}{625} a + \frac{5763174879987}{625} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 1920 i - 2773\) , \( 59450 i - 46368\bigr] \) |
${y}^2={x}^{3}+\left(1920i-2773\right){x}+59450i-46368$ |
| 6400.2-a10 |
6400.2-a |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{23} \cdot 5^{5} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$2.888821352$ |
$0.374611122$ |
2.164369220 |
\( \frac{15332659200009}{625} a + \frac{5763174879987}{625} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -1920 i - 2773\) , \( -59450 i - 46368\bigr] \) |
${y}^2={x}^{3}+\left(-1920i-2773\right){x}-59450i-46368$ |
| 6400.2-b1 |
6400.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{18} \cdot 5^{3} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.437687236$ |
1.437687236 |
\( -\frac{649216016}{25} a - \frac{494572808}{25} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( 106 i - 53\) , \( 445 i + 29\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(106i-53\right){x}+445i+29$ |
| 6400.2-b2 |
6400.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{18} \cdot 5^{3} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.437687236$ |
1.437687236 |
\( \frac{649216016}{25} a - \frac{494572808}{25} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -106 i - 53\) , \( 445 i - 29\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(-106i-53\right){x}+445i-29$ |
| 6400.2-b3 |
6400.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{12} \cdot 5^{6} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$2.875374472$ |
1.437687236 |
\( -\frac{3181056}{625} a - \frac{1129792}{625} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -6 i - 3\) , \( 5 i + 1\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(-6i-3\right){x}+5i+1$ |
| 6400.2-b4 |
6400.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{12} \cdot 5^{6} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$2.875374472$ |
1.437687236 |
\( \frac{3181056}{625} a - \frac{1129792}{625} \) |
\( \bigl[0\) , \( -i + 1\) , \( 0\) , \( 6 i - 3\) , \( -5 i + 1\bigr] \) |
${y}^2={x}^{3}+\left(-i+1\right){x}^{2}+\left(6i-3\right){x}-5i+1$ |
| 6400.2-b5 |
6400.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{18} \cdot 5^{9} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.437687236$ |
1.437687236 |
\( -\frac{256910704}{390625} a - \frac{293256872}{390625} \) |
\( \bigl[0\) , \( -i + 1\) , \( 0\) , \( -14 i - 13\) , \( -41 i - 37\bigr] \) |
${y}^2={x}^{3}+\left(-i+1\right){x}^{2}+\left(-14i-13\right){x}-41i-37$ |
| 6400.2-b6 |
6400.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{18} \cdot 5^{9} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.437687236$ |
1.437687236 |
\( \frac{256910704}{390625} a - \frac{293256872}{390625} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( 14 i - 13\) , \( 41 i - 37\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(14i-13\right){x}+41i-37$ |
| 6400.2-c1 |
6400.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{14} \cdot 5^{6} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.223449704$ |
$2.736279022$ |
2.445682956 |
\( \frac{119136}{625} a + \frac{1036352}{625} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -6 i - 2\) , \( 0\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-6i-2\right){x}$ |
| 6400.2-c2 |
6400.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{19} \cdot 5^{9} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.111724852$ |
$1.368139511$ |
2.445682956 |
\( -\frac{79113756}{390625} a + \frac{695553908}{390625} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 24 i + 8\) , \( 8 i - 24\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(24i+8\right){x}+8i-24$ |
| 6400.2-c3 |
6400.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{3} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.446899409$ |
$2.736279022$ |
2.445682956 |
\( -\frac{2751872}{25} a + \frac{2323456}{25} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 14 i + 7\) , \( -2 i + 21\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(14i+7\right){x}-2i+21$ |
| 6400.2-c4 |
6400.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{19} \cdot 5^{6} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.446899409$ |
$1.368139511$ |
2.445682956 |
\( \frac{286742876}{625} a + \frac{195690268}{625} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -76 i - 12\) , \( 216 i - 112\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-76i-12\right){x}+216i-112$ |
| 6400.2-d1 |
6400.2-d |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{14} \cdot 5^{6} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.223449704$ |
$2.736279022$ |
2.445682956 |
\( -\frac{119136}{625} a + \frac{1036352}{625} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( 6 i - 2\) , \( 0\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(6i-2\right){x}$ |
| 6400.2-d2 |
6400.2-d |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{19} \cdot 5^{9} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.111724852$ |
$1.368139511$ |
2.445682956 |
\( \frac{79113756}{390625} a + \frac{695553908}{390625} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( -24 i + 8\) , \( -8 i - 24\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(-24i+8\right){x}-8i-24$ |
| 6400.2-d3 |
6400.2-d |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{3} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.446899409$ |
$2.736279022$ |
2.445682956 |
\( \frac{2751872}{25} a + \frac{2323456}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -14 i + 7\) , \( -2 i - 21\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-14i+7\right){x}-2i-21$ |
| 6400.2-d4 |
6400.2-d |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{19} \cdot 5^{6} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.446899409$ |
$1.368139511$ |
2.445682956 |
\( -\frac{286742876}{625} a + \frac{195690268}{625} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( 76 i - 12\) , \( -216 i - 112\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(76i-12\right){x}-216i-112$ |
| 6400.2-e1 |
6400.2-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{20} \cdot 5^{5} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$0.826873828$ |
$1.605773914$ |
2.655544846 |
\( -\frac{59648644}{625} a - \frac{119744792}{625} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 20 i - 44\) , \( -92 i + 96\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(20i-44\right){x}-92i+96$ |
| 6400.2-e2 |
6400.2-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{20} \cdot 5^{5} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$0.826873828$ |
$1.605773914$ |
2.655544846 |
\( \frac{59648644}{625} a - \frac{119744792}{625} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( -20 i - 44\) , \( 92 i + 96\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(-20i-44\right){x}+92i+96$ |
| 6400.2-e3 |
6400.2-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{20} \cdot 5^{15} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$0.275624609$ |
$0.535257971$ |
2.655544846 |
\( -\frac{893935595564}{244140625} a - \frac{1336401187352}{244140625} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 220 i - 4\) , \( 948 i + 944\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(220i-4\right){x}+948i+944$ |
| 6400.2-e4 |
6400.2-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{20} \cdot 5^{15} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$0.275624609$ |
$0.535257971$ |
2.655544846 |
\( \frac{893935595564}{244140625} a - \frac{1336401187352}{244140625} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( -220 i - 4\) , \( -948 i + 944\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(-220i-4\right){x}-948i+944$ |
| 6400.2-e5 |
6400.2-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{12} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$0.137812304$ |
$1.070515942$ |
2.655544846 |
\( -\frac{20720464}{15625} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( 36\) , \( -140 i\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+36{x}-140i$ |
| 6400.2-e6 |
6400.2-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{4} \) |
$0.413436914$ |
$3.211547828$ |
2.655544846 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( -4\) , \( 4 i\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}-4{x}+4i$ |
| 6400.2-e7 |
6400.2-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{2} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 1 \) |
$0.826873828$ |
$6.423095656$ |
2.655544846 |
\( \frac{16384}{5} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 1\) , \( 0\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+{x}$ |
| 6400.2-e8 |
6400.2-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{6} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 3^{2} \) |
$0.275624609$ |
$2.141031885$ |
2.655544846 |
\( \frac{488095744}{125} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 41\) , \( 116 i\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+41{x}+116i$ |
| 6400.2-f1 |
6400.2-f |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{12} \cdot 5^{4} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$4.104524449$ |
2.052262224 |
\( -\frac{64}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 0\) , \( -2\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-2$ |
| 6400.2-f2 |
6400.2-f |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{18} \cdot 5^{5} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$2.052262224$ |
2.052262224 |
\( -\frac{10307536}{625} a + \frac{24381448}{625} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -20 i + 10\) , \( -2 i - 36\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-20i+10\right){x}-2i-36$ |
| 6400.2-f3 |
6400.2-f |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{18} \cdot 5^{5} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$2.052262224$ |
2.052262224 |
\( \frac{10307536}{625} a + \frac{24381448}{625} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 20 i + 10\) , \( 2 i - 36\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(20i+10\right){x}+2i-36$ |
| 6400.2-f4 |
6400.2-f |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
6400.2 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{12} \cdot 5^{2} \) |
$1.59850$ |
$(a+1), (-a-2), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$4.104524449$ |
2.052262224 |
\( \frac{438976}{5} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 6\) , \( -4 i\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+6{x}-4i$ |
*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.
