| 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-a2 |
32.2-a |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
32.2 |
\( 2^{5} \) |
\( 2^{31} \) |
$1.18333$ |
$(2,a), (2,a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{2} \) |
$1$ |
$3.684514436$ |
1.323516656 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( 2 a + 32\) , \( -20 a + 16\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+\left(2a+32\right){x}-20a+16$ |
| 32.5-a2 |
32.5-a |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
32.5 |
\( 2^{5} \) |
\( 2^{19} \) |
$1.18333$ |
$(2,a), (2,a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{2} \) |
$1$ |
$3.684514436$ |
1.323516656 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 6\) , \( -a + 4\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^3+6{x}-a+4$ |
| 128.2-a2 |
128.2-a |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
128.2 |
\( 2^{7} \) |
\( 2^{37} \) |
$1.67349$ |
$(2,a), (2,a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.605345143$ |
0.935867602 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -12 a - 44\) , \( 32 a + 112\bigr] \) |
${y}^2={x}^3+a{x}^2+\left(-12a-44\right){x}+32a+112$ |
| 128.7-a2 |
128.7-a |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
128.7 |
\( 2^{7} \) |
\( 2^{37} \) |
$1.67349$ |
$(2,a), (2,a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.605345143$ |
0.935867602 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -23 a - 7\) , \( 53 a + 2\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^3+a{x}^2+\left(-23a-7\right){x}+53a+2$ |
| 196.4-b2 |
196.4-b |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
196.4 |
\( 2^{2} \cdot 7^{2} \) |
\( 2^{19} \cdot 7^{6} \) |
$1.86159$ |
$(2,a), (2,a+1), (7,a+2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{2} \cdot 5 \) |
$1$ |
$2.785231114$ |
5.002422755 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -13 a + 40\) , \( 13 a + 88\bigr] \) |
${y}^2+a{x}{y}={x}^3+\left(-a+1\right){x}^2+\left(-13a+40\right){x}+13a+88$ |
| 196.6-b2 |
196.6-b |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
196.6 |
\( 2^{2} \cdot 7^{2} \) |
\( 2^{7} \cdot 7^{6} \) |
$1.86159$ |
$(2,a), (2,a+1), (7,a+4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{2} \cdot 5 \) |
$1$ |
$2.785231114$ |
5.002422755 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[1\) , \( a\) , \( a\) , \( 4 a - 11\) , \( -8 a - 7\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^3+a{x}^2+\left(4a-11\right){x}-8a-7$ |
| 800.13-a2 |
800.13-a |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
800.13 |
\( 2^{5} \cdot 5^{2} \) |
\( 2^{31} \cdot 5^{6} \) |
$2.64601$ |
$(2,a), (2,a+1), (5,a+1)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \) |
$0.365688988$ |
$1.647764948$ |
3.463189654 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -19 a + 144\) , \( 162 a + 256\bigr] \) |
${y}^2={x}^3+\left(-a+1\right){x}^2+\left(-19a+144\right){x}+162a+256$ |
| 800.15-a2 |
800.15-a |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
800.15 |
\( 2^{5} \cdot 5^{2} \) |
\( 2^{31} \cdot 5^{6} \) |
$2.64601$ |
$(2,a), (2,a+1), (5,a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \cdot 5 \) |
$0.490899908$ |
$1.647764948$ |
5.811220519 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 37 a - 124\) , \( -293 a + 197\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^3+\left(a+1\right){x}^2+\left(37a-124\right){x}-293a+197$ |
| 800.4-a2 |
800.4-a |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
800.4 |
\( 2^{5} \cdot 5^{2} \) |
\( 2^{31} \cdot 5^{6} \) |
$2.64601$ |
$(2,a), (2,a+1), (5,a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \) |
$1.227249771$ |
$1.647764948$ |
5.811220519 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -19 a + 144\) , \( -162 a - 256\bigr] \) |
${y}^2={x}^3+\left(a-1\right){x}^2+\left(-19a+144\right){x}-162a-256$ |
| 800.6-a2 |
800.6-a |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
800.6 |
\( 2^{5} \cdot 5^{2} \) |
\( 2^{19} \cdot 5^{6} \) |
$2.64601$ |
$(2,a), (2,a+1), (5,a+3)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \) |
$0.365688988$ |
$1.647764948$ |
3.463189654 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 13 a - 8\) , \( -27 a - 52\bigr] \) |
${y}^2+a{x}{y}={x}^3+{x}^2+\left(13a-8\right){x}-27a-52$ |
| 1024.5-d2 |
1024.5-d |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
1024.5 |
\( 2^{10} \) |
\( 2^{37} \) |
$2.81446$ |
$(2,a), (2,a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.302672571$ |
0.935867602 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -12 a - 44\) , \( -32 a - 112\bigr] \) |
${y}^2={x}^3-a{x}^2+\left(-12a-44\right){x}-32a-112$ |
| 1024.7-c2 |
1024.7-c |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
1024.7 |
\( 2^{10} \) |
\( 2^{49} \) |
$2.81446$ |
$(2,a), (2,a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.302672571$ |
0.935867602 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -49 a - 168\) , \( 473 a + 504\bigr] \) |
${y}^2={x}^3-a{x}^2+\left(-49a-168\right){x}+473a+504$ |
| 1444.4-a2 |
1444.4-a |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
1444.4 |
\( 2^{2} \cdot 19^{2} \) |
\( 2^{7} \cdot 19^{6} \) |
$3.06698$ |
$(2,a), (2,a+1), (19,a+5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{2} \cdot 5 \) |
$0.565723404$ |
$1.690571166$ |
3.435474686 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[1\) , \( 0\) , \( a\) , \( -13 a + 6\) , \( -22 a + 68\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^3+\left(-13a+6\right){x}-22a+68$ |
| 1444.6-a2 |
1444.6-a |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
1444.6 |
\( 2^{2} \cdot 19^{2} \) |
\( 2^{19} \cdot 19^{6} \) |
$3.06698$ |
$(2,a), (2,a+1), (19,a+13)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \) |
$1.414308511$ |
$1.690571166$ |
3.435474686 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[a\) , \( a + 1\) , \( 0\) , \( 15 a - 144\) , \( -163 a + 616\bigr] \) |
${y}^2+a{x}{y}={x}^3+\left(a+1\right){x}^2+\left(15a-144\right){x}-163a+616$ |
| 2592.2-b2 |
2592.2-b |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
2592.2 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{31} \cdot 3^{12} \) |
$3.55000$ |
$(2,a), (2,a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \) |
$1.584872646$ |
$1.228171478$ |
5.593614255 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 27 a + 243\) , \( 459 a - 1107\bigr] \) |
${y}^2+a{x}{y}={x}^3+\left(-a-1\right){x}^2+\left(27a+243\right){x}+459a-1107$ |
| 2592.5-b2 |
2592.5-b |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
2592.5 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{19} \cdot 3^{12} \) |
$3.55000$ |
$(2,a), (2,a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \cdot 5 \) |
$0.633949058$ |
$1.228171478$ |
5.593614255 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 18 a + 29\) , \( 14 a - 255\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^3+{x}^2+\left(18a+29\right){x}+14a-255$ |
| 3200.19-b2 |
3200.19-b |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
3200.19 |
\( 2^{7} \cdot 5^{2} \) |
\( 2^{25} \cdot 5^{6} \) |
$3.74203$ |
$(2,a), (2,a+1), (5,a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \) |
$1$ |
$1.165145769$ |
1.674130862 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -a - 69\) , \( 7 a - 200\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^3-a{x}^2+\left(-a-69\right){x}+7a-200$ |
| 3200.21-e2 |
3200.21-e |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
3200.21 |
\( 2^{7} \cdot 5^{2} \) |
\( 2^{37} \cdot 5^{6} \) |
$3.74203$ |
$(2,a), (2,a+1), (5,a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \cdot 5 \) |
$1.078135164$ |
$1.165145769$ |
9.024696764 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -96 a + 160\) , \( 148 a - 2292\bigr] \) |
${y}^2={x}^3+\left(-a-1\right){x}^2+\left(-96a+160\right){x}+148a-2292$ |
| 3200.4-e2 |
3200.4-e |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
3200.4 |
\( 2^{7} \cdot 5^{2} \) |
\( 2^{25} \cdot 5^{6} \) |
$3.74203$ |
$(2,a), (2,a+1), (5,a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \) |
$2.695337911$ |
$1.165145769$ |
9.024696764 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[a\) , \( -a\) , \( a\) , \( 18 a - 60\) , \( 77 a - 72\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3-a{x}^2+\left(18a-60\right){x}+77a-72$ |
| 3200.6-b2 |
3200.6-b |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
3200.6 |
\( 2^{7} \cdot 5^{2} \) |
\( 2^{37} \cdot 5^{6} \) |
$3.74203$ |
$(2,a), (2,a+1), (5,a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \) |
$1$ |
$1.165145769$ |
1.674130862 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[a\) , \( -a\) , \( 0\) , \( -99 a - 40\) , \( 769 a - 1096\bigr] \) |
${y}^2+a{x}{y}={x}^3-a{x}^2+\left(-99a-40\right){x}+769a-1096$ |
| 3844.2-c2 |
3844.2-c |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
3844.2 |
\( 2^{2} \cdot 31^{2} \) |
\( 2^{19} \cdot 31^{6} \) |
$3.91756$ |
$(2,a), (2,a+1), (-2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.323516656$ |
0.950842435 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -69 a - 88\) , \( 527 a - 82\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^3-a{x}^2+\left(-69a-88\right){x}+527a-82$ |
| 4096.7-f2 |
4096.7-f |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
4096.7 |
\( 2^{12} \) |
\( 2^{55} \) |
$3.98024$ |
$(2,a), (2,a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.921128609$ |
0.661758328 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 140 a + 191\) , \( -108 a + 4063\bigr] \) |
${y}^2={x}^3+{x}^2+\left(140a+191\right){x}-108a+4063$ |
| 4096.7-h2 |
4096.7-h |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
4096.7 |
\( 2^{12} \) |
\( 2^{55} \) |
$3.98024$ |
$(2,a), (2,a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.921128609$ |
0.661758328 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 140 a + 191\) , \( 108 a - 4063\bigr] \) |
${y}^2={x}^3-{x}^2+\left(140a+191\right){x}+108a-4063$ |
| 4900.10-d2 |
4900.10-d |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
4900.10 |
\( 2^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{19} \cdot 5^{6} \cdot 7^{6} \) |
$4.16264$ |
$(2,a), (2,a+1), (5,a+1), (7,a+2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \cdot 5 \) |
$0.347115709$ |
$1.245593221$ |
6.212403344 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -93 a + 67\) , \( -336 a + 1859\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^3+\left(a+1\right){x}^2+\left(-93a+67\right){x}-336a+1859$ |
| 4900.12-o2 |
4900.12-o |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
4900.12 |
\( 2^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{19} \cdot 5^{6} \cdot 7^{6} \) |
$4.16264$ |
$(2,a), (2,a+1), (5,a+1), (7,a+4)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \cdot 5 \) |
$0.287346449$ |
$1.245593221$ |
5.142700254 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 62 a + 160\) , \( -300 a + 1356\bigr] \) |
${y}^2+a{x}{y}={x}^3-{x}^2+\left(62a+160\right){x}-300a+1356$ |
| 4900.16-h2 |
4900.16-h |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
4900.16 |
\( 2^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{7} \cdot 5^{6} \cdot 7^{6} \) |
$4.16264$ |
$(2,a), (2,a+1), (5,a+3), (7,a+2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \) |
$2.873464498$ |
$1.245593221$ |
5.142700254 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[1\) , \( a - 1\) , \( 0\) , \( 11 a + 48\) , \( -35 a + 120\bigr] \) |
${y}^2+{x}{y}={x}^3+\left(a-1\right){x}^2+\left(11a+48\right){x}-35a+120$ |
| 4900.18-d2 |
4900.18-d |
$4$ |
$10$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
4900.18 |
\( 2^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{19} \cdot 5^{6} \cdot 7^{6} \) |
$4.16264$ |
$(2,a), (2,a+1), (5,a+3), (7,a+4)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \) |
$3.471157092$ |
$1.245593221$ |
6.212403344 |
\( -\frac{514073}{32} a - \frac{1025767}{32} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -29 a - 236\) , \( -375 a - 1070\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^3+a{x}^2+\left(-29a-236\right){x}-375a-1070$ |
*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.
