| 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 |
| 150.1-a2 |
150.1-a |
$8$ |
$12$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
150.1 |
\( 2 \cdot 3 \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{2} \) |
$1.08331$ |
$(a+1), (a), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$11.23555713$ |
1.081141989 |
\( \frac{357911}{2160} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( 1\) , \( 2\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}+2$ |
| 150.1-b2 |
150.1-b |
$8$ |
$12$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
150.1 |
\( 2 \cdot 3 \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{2} \) |
$1.08331$ |
$(a+1), (a), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{4} \) |
$1$ |
$5.367489134$ |
1.549460648 |
\( \frac{357911}{2160} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( 0\) , \( -3\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}-3$ |
| 3600.1-g2 |
3600.1-g |
$8$ |
$12$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
3600.1 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{20} \cdot 3^{12} \cdot 5^{2} \) |
$2.39775$ |
$(a+1), (a), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$0.713569814$ |
$2.241776282$ |
3.694265501 |
\( \frac{357911}{2160} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 18\) , \( -54 a\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+18{x}-54a$ |
| 3600.1-o2 |
3600.1-o |
$8$ |
$12$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
3600.1 |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{20} \cdot 3^{12} \cdot 5^{2} \) |
$2.39775$ |
$(a+1), (a), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$0.713569814$ |
$2.241776282$ |
3.694265501 |
\( \frac{357911}{2160} \) |
\( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 18\) , \( 54 a\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+18{x}+54a$ |
| 3750.1-c2 |
3750.1-c |
$8$ |
$12$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
3750.1 |
\( 2 \cdot 3 \cdot 5^{4} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{14} \) |
$2.42235$ |
$(a+1), (a), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$0.448117683$ |
$1.073497826$ |
3.332835439 |
\( \frac{357911}{2160} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 38\) , \( -244\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+38{x}-244$ |
| 3750.1-l2 |
3750.1-l |
$8$ |
$12$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
3750.1 |
\( 2 \cdot 3 \cdot 5^{4} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{14} \) |
$2.42235$ |
$(a+1), (a), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{6} \) |
$0.921859192$ |
$2.247111426$ |
4.783971269 |
\( \frac{357911}{2160} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 37\) , \( 281\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+37{x}+281$ |
*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.
