| 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 |
| 96100.2-b2 |
96100.2-b |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
96100.2 |
\( 2^{2} \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{6} \cdot 5^{4} \cdot 31^{4} \) |
$2.72508$ |
$(-6a+1), (6a-5), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.827085596$ |
$0.565594140$ |
6.481954436 |
\( \frac{133974081659809}{192200} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -1066\) , \( -13841\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-1066{x}-13841$ |
| 48050.2-b2 |
48050.2-b |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
48050.2 |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{6} \cdot 5^{4} \cdot 31^{4} \) |
$2.64601$ |
$(a+1), (-a-2), (2a+1), (31)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$0.390137886$ |
$0.565594140$ |
5.295832870 |
\( \frac{133974081659809}{192200} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( -1065\) , \( 13841\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-1065{x}+13841$ |
| 48050.1-b2 |
48050.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
48050.1 |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{6} \cdot 5^{4} \cdot 31^{4} \) |
$3.74203$ |
$(a), (5), (31)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.565594140$ |
9.598450856 |
\( \frac{133974081659809}{192200} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -1066\) , \( -13841\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-1066{x}-13841$ |
| 3100.5-d4 |
3100.5-d |
$4$ |
$4$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
3100.5 |
\( 2^{2} \cdot 5^{2} \cdot 31 \) |
\( 2^{6} \cdot 5^{4} \cdot 31^{4} \) |
$3.71244$ |
$(2,a), (2,a+1), (5,a+1), (5,a+3), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1.387724077$ |
$0.565594140$ |
10.14985118 |
\( \frac{133974081659809}{192200} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -1066\) , \( -13841\bigr] \) |
${y}^2+{x}{y}+{y}={x}^3+{x}^2-1066{x}-13841$ |
*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.
