| 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 |
| 32.2-a4 |
32.2-a |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
32.2 |
\( 2^{5} \) |
\( 2^{35} \) |
$1.18333$ |
$(2,a), (2,a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{2} \) |
$1$ |
$3.684514436$ |
1.323516656 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 8\) , \( -4 a - 12\bigr] \) |
${y}^2={x}^3+{x}^2+8{x}-4a-12$ |
| 32.5-a4 |
32.5-a |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
32.5 |
\( 2^{5} \) |
\( 2^{35} \) |
$1.18333$ |
$(2,a), (2,a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{2} \) |
$1$ |
$3.684514436$ |
1.323516656 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( 4 a + 12\bigr] \) |
${y}^2={x}^3-{x}^2+8{x}+4a+12$ |
| 128.2-a4 |
128.2-a |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
128.2 |
\( 2^{7} \) |
\( 2^{29} \) |
$1.67349$ |
$(2,a), (2,a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.605345143$ |
0.935867602 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -1\) , \( 2 a + 1\bigr] \) |
${y}^2+a{x}{y}={x}^3-{x}^2-{x}+2a+1$ |
| 128.7-a4 |
128.7-a |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
128.7 |
\( 2^{7} \) |
\( 2^{29} \) |
$1.67349$ |
$(2,a), (2,a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.605345143$ |
0.935867602 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -3 a - 7\) , \( -3 a + 2\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^3+a{x}^2+\left(-3a-7\right){x}-3a+2$ |
| 196.4-b4 |
196.4-b |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
196.4 |
\( 2^{2} \cdot 7^{2} \) |
\( 2^{23} \cdot 7^{6} \) |
$1.86159$ |
$(2,a), (2,a+1), (7,a+2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{2} \cdot 5 \) |
$1$ |
$2.785231114$ |
5.002422755 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -8 a + 6\) , \( -10 a + 49\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^3+\left(a-1\right){x}^2+\left(-8a+6\right){x}-10a+49$ |
| 196.6-b4 |
196.6-b |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
196.6 |
\( 2^{2} \cdot 7^{2} \) |
\( 2^{23} \cdot 7^{6} \) |
$1.86159$ |
$(2,a), (2,a+1), (7,a+4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{2} \cdot 5 \) |
$1$ |
$2.785231114$ |
5.002422755 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 4 a + 5\) , \( -15 a + 30\bigr] \) |
${y}^2+a{x}{y}={x}^3+\left(4a+5\right){x}-15a+30$ |
| 800.13-a4 |
800.13-a |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
800.13 |
\( 2^{5} \cdot 5^{2} \) |
\( 2^{35} \cdot 5^{6} \) |
$2.64601$ |
$(2,a), (2,a+1), (5,a+1)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \) |
$0.365688988$ |
$1.647764948$ |
3.463189654 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -8 a + 27\) , \( -12 a + 253\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^3+\left(a+1\right){x}^2+\left(-8a+27\right){x}-12a+253$ |
| 800.15-a4 |
800.15-a |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
800.15 |
\( 2^{5} \cdot 5^{2} \) |
\( 2^{23} \cdot 5^{6} \) |
$2.64601$ |
$(2,a), (2,a+1), (5,a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \cdot 5 \) |
$0.245449954$ |
$1.647764948$ |
5.811220519 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 2 a - 4\) , \( -6 a + 13\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^3+\left(a+1\right){x}^2+\left(2a-4\right){x}-6a+13$ |
| 800.4-a4 |
800.4-a |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
800.4 |
\( 2^{5} \cdot 5^{2} \) |
\( 2^{23} \cdot 5^{6} \) |
$2.64601$ |
$(2,a), (2,a+1), (5,a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \) |
$2.454499543$ |
$1.647764948$ |
5.811220519 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -4 a + 8\) , \( -9 a + 12\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\left(-4a+8\right){x}-9a+12$ |
| 800.6-a4 |
800.6-a |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
800.6 |
\( 2^{5} \cdot 5^{2} \) |
\( 2^{35} \cdot 5^{6} \) |
$2.64601$ |
$(2,a), (2,a+1), (5,a+3)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \) |
$0.365688988$ |
$1.647764948$ |
3.463189654 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 8 a + 27\) , \( -80 a + 19\bigr] \) |
${y}^2+a{x}{y}={x}^3+{x}^2+\left(8a+27\right){x}-80a+19$ |
| 1024.5-d4 |
1024.5-d |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
1024.5 |
\( 2^{10} \) |
\( 2^{53} \) |
$2.81446$ |
$(2,a), (2,a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.302672571$ |
0.935867602 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 8 a - 64\) , \( -144 a + 128\bigr] \) |
${y}^2={x}^3-a{x}^2+\left(8a-64\right){x}-144a+128$ |
| 1024.7-c4 |
1024.7-c |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
1024.7 |
\( 2^{10} \) |
\( 2^{53} \) |
$2.81446$ |
$(2,a), (2,a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.302672571$ |
0.935867602 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -8 a - 56\) , \( -52 a + 404\bigr] \) |
${y}^2={x}^3+\left(-a+1\right){x}^2+\left(-8a-56\right){x}-52a+404$ |
| 1444.4-a4 |
1444.4-a |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
1444.4 |
\( 2^{2} \cdot 19^{2} \) |
\( 2^{23} \cdot 19^{6} \) |
$3.06698$ |
$(2,a), (2,a+1), (19,a+5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \cdot 5 \) |
$0.282861702$ |
$1.690571166$ |
3.435474686 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[a\) , \( -a\) , \( 0\) , \( -6 a - 27\) , \( 5 a + 214\bigr] \) |
${y}^2+a{x}{y}={x}^3-a{x}^2+\left(-6a-27\right){x}+5a+214$ |
| 1444.6-a4 |
1444.6-a |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
1444.6 |
\( 2^{2} \cdot 19^{2} \) |
\( 2^{23} \cdot 19^{6} \) |
$3.06698$ |
$(2,a), (2,a+1), (19,a+13)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{2} \) |
$2.828617023$ |
$1.690571166$ |
3.435474686 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 5 a - 31\) , \( -83 a - 14\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^3+\left(5a-31\right){x}-83a-14$ |
| 2592.2-b4 |
2592.2-b |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
2592.2 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{35} \cdot 3^{12} \) |
$3.55000$ |
$(2,a), (2,a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \) |
$3.169745292$ |
$1.228171478$ |
5.593614255 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 69\) , \( 108 a + 394\bigr] \) |
${y}^2={x}^3+69{x}+108a+394$ |
| 2592.5-b4 |
2592.5-b |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
2592.5 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{35} \cdot 3^{12} \) |
$3.55000$ |
$(2,a), (2,a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \cdot 5 \) |
$0.316974529$ |
$1.228171478$ |
5.593614255 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 69\) , \( -108 a - 394\bigr] \) |
${y}^2={x}^3+69{x}-108a-394$ |
| 3200.19-b4 |
3200.19-b |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
3200.19 |
\( 2^{7} \cdot 5^{2} \) |
\( 2^{41} \cdot 5^{6} \) |
$3.74203$ |
$(2,a), (2,a+1), (5,a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \) |
$1$ |
$1.165145769$ |
1.674130862 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 24 a - 56\) , \( -140 a - 340\bigr] \) |
${y}^2={x}^3+\left(-a-1\right){x}^2+\left(24a-56\right){x}-140a-340$ |
| 3200.21-e4 |
3200.21-e |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
3200.21 |
\( 2^{7} \cdot 5^{2} \) |
\( 2^{41} \cdot 5^{6} \) |
$3.74203$ |
$(2,a), (2,a+1), (5,a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \cdot 5 \) |
$0.539067582$ |
$1.165145769$ |
9.024696764 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -28 a + 23\) , \( 242 a - 71\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^3+\left(-28a+23\right){x}+242a-71$ |
| 3200.4-e4 |
3200.4-e |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
3200.4 |
\( 2^{7} \cdot 5^{2} \) |
\( 2^{41} \cdot 5^{6} \) |
$3.74203$ |
$(2,a), (2,a+1), (5,a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \) |
$5.390675823$ |
$1.165145769$ |
9.024696764 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[a\) , \( -a\) , \( a\) , \( 28 a\) , \( 61 a - 568\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3-a{x}^2+28a{x}+61a-568$ |
| 3200.6-b4 |
3200.6-b |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
3200.6 |
\( 2^{7} \cdot 5^{2} \) |
\( 2^{41} \cdot 5^{6} \) |
$3.74203$ |
$(2,a), (2,a+1), (5,a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \) |
$1$ |
$1.165145769$ |
1.674130862 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -22 a - 33\) , \( 135 a + 449\bigr] \) |
${y}^2={x}^3+\left(-a-1\right){x}^2+\left(-22a-33\right){x}+135a+449$ |
| 3844.2-c4 |
3844.2-c |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
3844.2 |
\( 2^{2} \cdot 31^{2} \) |
\( 2^{11} \cdot 31^{6} \) |
$3.91756$ |
$(2,a), (2,a+1), (-2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.323516656$ |
0.950842435 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[1\) , \( -a + 1\) , \( a\) , \( -a - 17\) , \( 21 a - 43\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^3+\left(-a+1\right){x}^2+\left(-a-17\right){x}+21a-43$ |
| 4096.7-f4 |
4096.7-f |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
4096.7 |
\( 2^{12} \) |
\( 2^{47} \) |
$3.98024$ |
$(2,a), (2,a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.921128609$ |
0.661758328 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 31\) , \( 32 a + 127\bigr] \) |
${y}^2={x}^3+{x}^2+31{x}+32a+127$ |
| 4096.7-h4 |
4096.7-h |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
4096.7 |
\( 2^{12} \) |
\( 2^{47} \) |
$3.98024$ |
$(2,a), (2,a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.921128609$ |
0.661758328 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 31\) , \( -32 a - 127\bigr] \) |
${y}^2={x}^3-{x}^2+31{x}-32a-127$ |
| 4900.10-d4 |
4900.10-d |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
4900.10 |
\( 2^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 5^{6} \cdot 7^{6} \) |
$4.16264$ |
$(2,a), (2,a+1), (5,a+1), (7,a+2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \cdot 5 \) |
$0.694231418$ |
$1.245593221$ |
6.212403344 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( -4 a - 14\) , \( -3 a + 77\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3+\left(a-1\right){x}^2+\left(-4a-14\right){x}-3a+77$ |
| 4900.12-o4 |
4900.12-o |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
4900.12 |
\( 2^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{23} \cdot 5^{6} \cdot 7^{6} \) |
$4.16264$ |
$(2,a), (2,a+1), (5,a+1), (7,a+4)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \cdot 5 \) |
$0.574692899$ |
$1.245593221$ |
5.142700254 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( 10 a + 47\) , \( -149 a - 127\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^3+a{x}^2+\left(10a+47\right){x}-149a-127$ |
| 4900.16-h4 |
4900.16-h |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
4900.16 |
\( 2^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{23} \cdot 5^{6} \cdot 7^{6} \) |
$4.16264$ |
$(2,a), (2,a+1), (5,a+3), (7,a+2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \) |
$1.436732249$ |
$1.245593221$ |
5.142700254 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -12 a + 72\) , \( -7 a + 468\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\left(-12a+72\right){x}-7a+468$ |
| 4900.18-d4 |
4900.18-d |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
4900.18 |
\( 2^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 5^{6} \cdot 7^{6} \) |
$4.16264$ |
$(2,a), (2,a+1), (5,a+3), (7,a+4)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \) |
$1.735578546$ |
$1.245593221$ |
6.212403344 |
\( -\frac{85169}{1024} a + \frac{182505}{1024} \) |
\( \bigl[1\) , \( a + 1\) , \( 0\) , \( 5 a - 17\) , \( -23 a - 35\bigr] \) |
${y}^2+{x}{y}={x}^3+\left(a+1\right){x}^2+\left(5a-17\right){x}-23a-35$ |
*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.
