| 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 |
| 102400.1-a1 |
102400.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{28} \cdot 5^{12} \) |
$2.76869$ |
$(2), (5)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.269748285$ |
$0.535257971$ |
4.001312284 |
\( -\frac{20720464}{15625} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 145 a\) , \( 975\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+145a{x}+975$ |
| 102400.1-a2 |
102400.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{28} \cdot 5^{4} \) |
$2.76869$ |
$(2), (5)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \) |
$0.269748285$ |
$1.605773914$ |
4.001312284 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -15 a\) , \( -17\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}-15a{x}-17$ |
| 102400.1-a3 |
102400.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{20} \cdot 5^{2} \) |
$2.76869$ |
$(2), (5)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{2} \) |
$0.269748285$ |
$3.211547828$ |
4.001312284 |
\( \frac{16384}{5} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 5 a\) , \( -5\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+5a{x}-5$ |
| 102400.1-a4 |
102400.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{20} \cdot 5^{6} \) |
$2.76869$ |
$(2), (5)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.269748285$ |
$1.070515942$ |
4.001312284 |
\( \frac{488095744}{125} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 165 a\) , \( 763\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+165a{x}+763$ |
| 102400.1-b1 |
102400.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{30} \cdot 5^{4} \) |
$2.76869$ |
$(2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.209033790$ |
$1.296467912$ |
3.619925021 |
\( \frac{140264}{25} a - \frac{243944}{25} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 43 a - 7\) , \( 20 a + 99\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(43a-7\right){x}+20a+99$ |
| 102400.1-b2 |
102400.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{24} \cdot 5^{2} \) |
$2.76869$ |
$(2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.604516895$ |
$2.592935824$ |
3.619925021 |
\( \frac{1088}{5} a - 1152 \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 3 a - 7\) , \( -4 a + 11\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(3a-7\right){x}-4a+11$ |
| 102400.1-c1 |
102400.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{28} \cdot 5^{2} \) |
$2.76869$ |
$(2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.682002408$ |
$2.070728854$ |
3.261433348 |
\( \frac{5776}{5} a + \frac{2864}{5} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 7 a + 5\) , \( -4 a - 9\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(7a+5\right){x}-4a-9$ |
| 102400.1-c2 |
102400.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{32} \cdot 5^{4} \) |
$2.76869$ |
$(2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.364004817$ |
$1.035364427$ |
3.261433348 |
\( -\frac{1293836}{25} a + \frac{52992}{5} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 7 a + 85\) , \( -404 a + 215\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(7a+85\right){x}-404a+215$ |
| 102400.1-d1 |
102400.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{32} \cdot 5^{4} \) |
$2.76869$ |
$(2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.364004817$ |
$1.035364427$ |
3.261433348 |
\( \frac{1293836}{25} a - \frac{1028876}{25} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -85 a - 7\) , \( 404 a - 189\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-85a-7\right){x}+404a-189$ |
| 102400.1-d2 |
102400.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{28} \cdot 5^{2} \) |
$2.76869$ |
$(2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.682002408$ |
$2.070728854$ |
3.261433348 |
\( -\frac{5776}{5} a + 1728 \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -5 a - 7\) , \( 4 a - 13\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-5a-7\right){x}+4a-13$ |
| 102400.1-e1 |
102400.1-e |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{12} \cdot 5^{4} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$4.104524449$ |
2.369748295 |
\( -\frac{64}{25} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 0\) , \( -2\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}-2$ |
| 102400.1-e2 |
102400.1-e |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{24} \cdot 5^{2} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.052262224$ |
2.369748295 |
\( \frac{438976}{5} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 25 a\) , \( -57\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+25a{x}-57$ |
| 102400.1-f1 |
102400.1-f |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{30} \cdot 5^{4} \) |
$2.76869$ |
$(2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.209033790$ |
$1.296467912$ |
3.619925021 |
\( -\frac{140264}{25} a - \frac{20736}{5} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 36 a + 7\) , \( -20 a + 119\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(36a+7\right){x}-20a+119$ |
| 102400.1-f2 |
102400.1-f |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{24} \cdot 5^{2} \) |
$2.76869$ |
$(2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.604516895$ |
$2.592935824$ |
3.619925021 |
\( -\frac{1088}{5} a - \frac{4672}{5} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -4 a + 7\) , \( 4 a + 7\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-4a+7\right){x}+4a+7$ |
| 102400.1-g1 |
102400.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{32} \cdot 5^{8} \) |
$2.76869$ |
$(2), (5)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.361484422$ |
$0.749222245$ |
5.003680854 |
\( \frac{237276}{625} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -52 a\) , \( -272\bigr] \) |
${y}^2={x}^{3}-52a{x}-272$ |
| 102400.1-g2 |
102400.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{28} \cdot 5^{4} \) |
$2.76869$ |
$(2), (5)$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1.445937690$ |
$1.498444490$ |
5.003680854 |
\( \frac{148176}{25} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 28 a\) , \( -48\bigr] \) |
${y}^2={x}^{3}+28a{x}-48$ |
| 102400.1-g3 |
102400.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{20} \cdot 5^{2} \) |
$2.76869$ |
$(2), (5)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.361484422$ |
$2.996888981$ |
5.003680854 |
\( \frac{55296}{5} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 8 a\) , \( 8\bigr] \) |
${y}^2={x}^{3}+8a{x}+8$ |
| 102400.1-g4 |
102400.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{32} \cdot 5^{2} \) |
$2.76869$ |
$(2), (5)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.445937690$ |
$0.749222245$ |
5.003680854 |
\( \frac{132304644}{5} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 428 a\) , \( -3408\bigr] \) |
${y}^2={x}^{3}+428a{x}-3408$ |
| 102400.1-h1 |
102400.1-h |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{48} \cdot 5^{2} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{2} \) |
$1$ |
$0.610539701$ |
0.704990522 |
\( -\frac{1860867}{320} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -163 a\) , \( -954 a + 477\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}-163a{x}-954a+477$ |
| 102400.1-h2 |
102400.1-h |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{40} \cdot 5^{6} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{2} \) |
$1$ |
$0.610539701$ |
0.704990522 |
\( \frac{804357}{500} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -123 a + 124\) , \( -126 a + 1\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-123a+124\right){x}-126a+1$ |
| 102400.1-h3 |
102400.1-h |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{38} \cdot 5^{12} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \) |
$1$ |
$0.305269850$ |
0.704990522 |
\( \frac{57960603}{31250} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 517 a - 516\) , \( -1534 a + 1025\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(517a-516\right){x}-1534a+1025$ |
| 102400.1-h4 |
102400.1-h |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{42} \cdot 5^{4} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \) |
$1$ |
$0.305269850$ |
0.704990522 |
\( \frac{8527173507}{200} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -2723 a\) , \( -61370 a + 30685\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}-2723a{x}-61370a+30685$ |
| 102400.1-i1 |
102400.1-i |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{24} \cdot 5^{2} \) |
$2.76869$ |
$(2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.650091069$ |
$2.660683114$ |
3.994539474 |
\( \frac{1728}{5} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -3 a + 4\) , \( 6 a - 1\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-3a+4\right){x}+6a-1$ |
| 102400.1-i2 |
102400.1-i |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{30} \cdot 5^{4} \) |
$2.76869$ |
$(2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.300182138$ |
$1.330341557$ |
3.994539474 |
\( \frac{157464}{25} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 37 a - 36\) , \( 94 a - 65\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(37a-36\right){x}+94a-65$ |
| 102400.1-j1 |
102400.1-j |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{32} \cdot 5^{2} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.687631673$ |
1.948709202 |
\( -\frac{108}{5} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 4\) , \( 32 a - 16\bigr] \) |
${y}^2={x}^{3}+4{x}+32a-16$ |
| 102400.1-j2 |
102400.1-j |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{34} \cdot 5^{4} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.843815836$ |
1.948709202 |
\( \frac{3721734}{25} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 164\) , \( 928 a - 464\bigr] \) |
${y}^2={x}^{3}+164{x}+928a-464$ |
| 102400.1-k1 |
102400.1-k |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{48} \cdot 5^{2} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{2} \) |
$1$ |
$0.610539701$ |
0.704990522 |
\( -\frac{1860867}{320} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 165 a - 164\) , \( 1118 a - 641\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(165a-164\right){x}+1118a-641$ |
| 102400.1-k2 |
102400.1-k |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{40} \cdot 5^{6} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{2} \) |
$1$ |
$0.610539701$ |
0.704990522 |
\( \frac{804357}{500} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( a - 124\) , \( 126 a - 125\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(a-124\right){x}+126a-125$ |
| 102400.1-k3 |
102400.1-k |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{38} \cdot 5^{12} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \) |
$1$ |
$0.305269850$ |
0.704990522 |
\( \frac{57960603}{31250} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( a + 516\) , \( 1534 a - 509\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(a+516\right){x}+1534a-509$ |
| 102400.1-k4 |
102400.1-k |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{42} \cdot 5^{4} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \) |
$1$ |
$0.305269850$ |
0.704990522 |
\( \frac{8527173507}{200} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 2725 a - 2724\) , \( 64094 a - 33409\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(2725a-2724\right){x}+64094a-33409$ |
| 102400.1-l1 |
102400.1-l |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{24} \cdot 5^{2} \) |
$2.76869$ |
$(2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.650091069$ |
$2.660683114$ |
3.994539474 |
\( \frac{1728}{5} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 5 a\) , \( -10 a + 5\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+5a{x}-10a+5$ |
| 102400.1-l2 |
102400.1-l |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{30} \cdot 5^{4} \) |
$2.76869$ |
$(2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.300182138$ |
$1.330341557$ |
3.994539474 |
\( \frac{157464}{25} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -35 a\) , \( -58 a + 29\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}-35a{x}-58a+29$ |
| 102400.1-m1 |
102400.1-m |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{32} \cdot 5^{2} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.687631673$ |
1.948709202 |
\( -\frac{108}{5} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -4 a\) , \( -32 a + 16\bigr] \) |
${y}^2={x}^{3}-4a{x}-32a+16$ |
| 102400.1-m2 |
102400.1-m |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{34} \cdot 5^{4} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.843815836$ |
1.948709202 |
\( \frac{3721734}{25} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -164 a\) , \( -928 a + 464\bigr] \) |
${y}^2={x}^{3}-164a{x}-928a+464$ |
| 102400.1-n1 |
102400.1-n |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{32} \cdot 5^{8} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.749222245$ |
3.460509320 |
\( \frac{237276}{625} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 52\) , \( 272\bigr] \) |
${y}^2={x}^{3}+52{x}+272$ |
| 102400.1-n2 |
102400.1-n |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{28} \cdot 5^{4} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{3} \) |
$1$ |
$1.498444490$ |
3.460509320 |
\( \frac{148176}{25} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -28\) , \( 48\bigr] \) |
${y}^2={x}^{3}-28{x}+48$ |
| 102400.1-n3 |
102400.1-n |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{20} \cdot 5^{2} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.996888981$ |
3.460509320 |
\( \frac{55296}{5} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -8\) , \( -8\bigr] \) |
${y}^2={x}^{3}-8{x}-8$ |
| 102400.1-n4 |
102400.1-n |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{32} \cdot 5^{2} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$0.749222245$ |
3.460509320 |
\( \frac{132304644}{5} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -428\) , \( 3408\bigr] \) |
${y}^2={x}^{3}-428{x}+3408$ |
| 102400.1-o1 |
102400.1-o |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{30} \cdot 5^{4} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.296467912$ |
2.994064392 |
\( -\frac{140264}{25} a - \frac{20736}{5} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 7 a - 43\) , \( 20 a - 119\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(7a-43\right){x}+20a-119$ |
| 102400.1-o2 |
102400.1-o |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{24} \cdot 5^{2} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.592935824$ |
2.994064392 |
\( -\frac{1088}{5} a - \frac{4672}{5} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 7 a - 3\) , \( -4 a - 7\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(7a-3\right){x}-4a-7$ |
| 102400.1-p1 |
102400.1-p |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{28} \cdot 5^{2} \) |
$2.76869$ |
$(2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.056606050$ |
$2.070728854$ |
5.052841702 |
\( \frac{5776}{5} a + \frac{2864}{5} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 7 a + 5\) , \( 4 a + 9\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(7a+5\right){x}+4a+9$ |
| 102400.1-p2 |
102400.1-p |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{32} \cdot 5^{4} \) |
$2.76869$ |
$(2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$2.113212101$ |
$1.035364427$ |
5.052841702 |
\( -\frac{1293836}{25} a + \frac{52992}{5} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 7 a + 85\) , \( 404 a - 215\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(7a+85\right){x}+404a-215$ |
| 102400.1-q1 |
102400.1-q |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{32} \cdot 5^{4} \) |
$2.76869$ |
$(2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$2.113212101$ |
$1.035364427$ |
5.052841702 |
\( \frac{1293836}{25} a - \frac{1028876}{25} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -7 a + 92\) , \( -404 a + 189\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-7a+92\right){x}-404a+189$ |
| 102400.1-q2 |
102400.1-q |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{28} \cdot 5^{2} \) |
$2.76869$ |
$(2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.056606050$ |
$2.070728854$ |
5.052841702 |
\( -\frac{5776}{5} a + 1728 \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -7 a + 12\) , \( -4 a + 13\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-7a+12\right){x}-4a+13$ |
| 102400.1-r1 |
102400.1-r |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{12} \cdot 5^{4} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$4.104524449$ |
2.369748295 |
\( -\frac{64}{25} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 0\) , \( 2\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+2$ |
| 102400.1-r2 |
102400.1-r |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{24} \cdot 5^{2} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.052262224$ |
2.369748295 |
\( \frac{438976}{5} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -25\) , \( 57\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-25{x}+57$ |
| 102400.1-s1 |
102400.1-s |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{30} \cdot 5^{4} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.296467912$ |
2.994064392 |
\( \frac{140264}{25} a - \frac{243944}{25} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -7 a - 36\) , \( -20 a - 99\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-7a-36\right){x}-20a-99$ |
| 102400.1-s2 |
102400.1-s |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{24} \cdot 5^{2} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.592935824$ |
2.994064392 |
\( \frac{1088}{5} a - 1152 \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -7 a + 4\) , \( 4 a - 11\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-7a+4\right){x}+4a-11$ |
| 102400.1-t1 |
102400.1-t |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{28} \cdot 5^{12} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.535257971$ |
3.708376006 |
\( -\frac{20720464}{15625} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -145\) , \( -975\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-145{x}-975$ |
| 102400.1-t2 |
102400.1-t |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
102400.1 |
\( 2^{12} \cdot 5^{2} \) |
\( 2^{28} \cdot 5^{4} \) |
$2.76869$ |
$(2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B[2] |
$1$ |
\( 2^{3} \) |
$1$ |
$1.605773914$ |
3.708376006 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 15\) , \( 17\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+15{x}+17$ |
*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.
