| 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 |
| 50700.2-a1 |
50700.2-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{20} \cdot 3^{2} \cdot 5^{4} \cdot 13^{2} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 5 \) |
$0.104518806$ |
$1.208615532$ |
2.917305948 |
\( -\frac{16022066761}{998400} \) |
\( \bigl[a + 1\) , \( a\) , \( 1\) , \( -52 a + 51\) , \( -124\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-52a+51\right){x}-124$ |
| 50700.2-a2 |
50700.2-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 13^{4} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 5 \) |
$0.209037613$ |
$0.604307766$ |
2.917305948 |
\( \frac{68523370149961}{243360} \) |
\( \bigl[a + 1\) , \( a\) , \( 1\) , \( -852 a + 851\) , \( -9084\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-852a+851\right){x}-9084$ |
| 50700.2-b1 |
50700.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{16} \cdot 5^{8} \cdot 13^{2} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.175373745$ |
$0.635041399$ |
3.447524680 |
\( \frac{99317171591}{106616250} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( -97 a\) , \( -297\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}-97a{x}-297$ |
| 50700.2-b2 |
50700.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 13^{4} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.587686872$ |
$1.270082799$ |
3.447524680 |
\( \frac{4165509529}{1368900} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 33 a\) , \( -63\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+33a{x}-63$ |
| 50700.2-b3 |
50700.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 13^{2} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.293843436$ |
$2.540165599$ |
3.447524680 |
\( \frac{273359449}{9360} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 13 a\) , \( 13\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+13a{x}+13$ |
| 50700.2-b4 |
50700.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 13^{8} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.175373745$ |
$0.635041399$ |
3.447524680 |
\( \frac{12501706118329}{2570490} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 483 a\) , \( -4293\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+483a{x}-4293$ |
| 50700.2-c1 |
50700.2-c |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 13^{16} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$0.228141728$ |
$0.216937378$ |
3.657534727 |
\( -\frac{168288035761}{73415764890} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -114 a + 114\) , \( -12978\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-114a+114\right){x}-12978$ |
| 50700.2-c2 |
50700.2-c |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{4} \cdot 13^{2} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.456283456$ |
$1.735499031$ |
3.657534727 |
\( \frac{371694959}{249600} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( 16 a - 16\) , \( 0\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(16a-16\right){x}$ |
| 50700.2-c3 |
50700.2-c |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 13^{4} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$0.912566913$ |
$0.867749515$ |
3.657534727 |
\( \frac{30400540561}{15210000} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -64 a + 64\) , \( 112\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-64a+64\right){x}+112$ |
| 50700.2-c4 |
50700.2-c |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 13^{8} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$0.456283456$ |
$0.433874757$ |
3.657534727 |
\( \frac{19948814692561}{231344100} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -564 a + 564\) , \( -4788\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-564a+564\right){x}-4788$ |
| 50700.2-c5 |
50700.2-c |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{16} \cdot 13^{2} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1.825133826$ |
$0.433874757$ |
3.657534727 |
\( \frac{66730743078481}{60937500} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -844 a + 844\) , \( 9940\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-844a+844\right){x}+9940$ |
| 50700.2-c6 |
50700.2-c |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{16} \cdot 5^{2} \cdot 13^{4} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{3} \) |
$0.912566913$ |
$0.216937378$ |
3.657534727 |
\( \frac{81025909800741361}{11088090} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -9014 a + 9014\) , \( -324198\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-9014a+9014\right){x}-324198$ |
| 50700.2-d1 |
50700.2-d |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 13^{2} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.341794385$ |
$2.438138537$ |
3.849042122 |
\( \frac{6967871}{35100} \) |
\( \bigl[a\) , \( a - 1\) , \( 1\) , \( -5 a\) , \( -7\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}-5a{x}-7$ |
| 50700.2-d2 |
50700.2-d |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{2} \cdot 13^{4} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.683588771$ |
$1.219069268$ |
3.849042122 |
\( \frac{10779215329}{1232010} \) |
\( \bigl[a\) , \( a - 1\) , \( 1\) , \( 45 a\) , \( -127\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+45a{x}-127$ |
| 50700.2-e1 |
50700.2-e |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{4} \cdot 13^{2} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$1.540509251$ |
3.557653723 |
\( -\frac{24137569}{561600} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -6\) , \( 36\bigr] \) |
${y}^2+{x}{y}={x}^{3}-6{x}+36$ |
| 50700.2-e2 |
50700.2-e |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{12} \cdot 13^{6} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3^{3} \) |
$1$ |
$0.513503083$ |
3.557653723 |
\( \frac{17394111071}{411937500} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( 54\) , \( -960\bigr] \) |
${y}^2+{x}{y}={x}^{3}+54{x}-960$ |
| 50700.2-e3 |
50700.2-e |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{6} \cdot 13^{12} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3^{3} \) |
$1$ |
$0.256751541$ |
3.557653723 |
\( \frac{189208196468929}{10860320250} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -1196\) , \( -15210\bigr] \) |
${y}^2+{x}{y}={x}^{3}-1196{x}-15210$ |
| 50700.2-e4 |
50700.2-e |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 13^{4} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$1$ |
$0.770254625$ |
3.557653723 |
\( \frac{967068262369}{4928040} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -206\) , \( 1116\bigr] \) |
${y}^2+{x}{y}={x}^{3}-206{x}+1116$ |
| 50700.2-f1 |
50700.2-f |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{60} \cdot 3^{6} \cdot 5^{4} \cdot 13^{6} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3^{4} \cdot 5 \) |
$1$ |
$0.036238799$ |
3.766046509 |
\( -\frac{16818951115904497561}{1592332281446400} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -53378 a + 53377\) , \( -5124652\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-53378a+53377\right){x}-5124652$ |
| 50700.2-f2 |
50700.2-f |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{20} \cdot 3^{18} \cdot 5^{12} \cdot 13^{2} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3^{3} \cdot 5 \) |
$1$ |
$0.108716398$ |
3.766046509 |
\( \frac{7064514799444439}{4094064000000} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( 3997 a - 3998\) , \( 3998\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(3997a-3998\right){x}+3998$ |
| 50700.2-f3 |
50700.2-f |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{36} \cdot 5^{6} \cdot 13^{4} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3^{3} \cdot 5 \) |
$1$ |
$0.054358199$ |
3.766046509 |
\( \frac{453198971846635561}{261896250564000} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -16003 a + 16002\) , \( 27998\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-16003a+16002\right){x}+27998$ |
| 50700.2-f4 |
50700.2-f |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{30} \cdot 3^{12} \cdot 5^{2} \cdot 13^{12} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 5 \) |
$1$ |
$0.018119399$ |
3.766046509 |
\( \frac{73474353581350183614361}{576510977802240} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -872578 a + 872577\) , \( -313799212\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-872578a+872577\right){x}-313799212$ |
| 50700.2-g1 |
50700.2-g |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{40} \cdot 3^{2} \cdot 5^{2} \cdot 13^{4} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \cdot 5 \) |
$1$ |
$0.364863272$ |
4.213078166 |
\( -\frac{2656166199049}{2658140160} \) |
\( \bigl[a\) , \( 0\) , \( 1\) , \( 288 a\) , \( 3092\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+288a{x}+3092$ |
| 50700.2-g2 |
50700.2-g |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 13^{16} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \cdot 5 \) |
$1$ |
$0.091215818$ |
4.213078166 |
\( \frac{26465989780414729}{10571870144160} \) |
\( \bigl[a\) , \( 0\) , \( 1\) , \( 6208 a\) , \( 104276\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+6208a{x}+104276$ |
| 50700.2-g3 |
50700.2-g |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{20} \cdot 3^{4} \cdot 5^{4} \cdot 13^{8} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \cdot 5 \) |
$1$ |
$0.182431636$ |
4.213078166 |
\( \frac{17496824387403529}{6580454400} \) |
\( \bigl[a\) , \( 0\) , \( 1\) , \( 5408 a\) , \( 152596\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+5408a{x}+152596$ |
| 50700.2-g4 |
50700.2-g |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{8} \cdot 13^{4} \) |
$2.32248$ |
$(-2a+1), (-4a+1), (4a-3), (2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \cdot 5 \) |
$1$ |
$0.091215818$ |
4.213078166 |
\( \frac{71647584155243142409}{10140000} \) |
\( \bigl[a\) , \( 0\) , \( 1\) , \( 86528 a\) , \( 9789652\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+86528a{x}+9789652$ |
*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.
