| 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 |
| 5202.2-c4 |
5202.2-c |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
5202.2 |
\( 2 \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 17^{2} \) |
$1.51779$ |
$(a+1), (a+4), (a-4), (3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$4$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.831735869$ |
1.108981159 |
\( \frac{1845026709625}{793152} \) |
\( \bigl[i\) , \( 0\) , \( i\) , \( -255\) , \( -1550\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-255{x}-1550$ |
| 46818.2-d4 |
46818.2-d |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
46818.2 |
\( 2 \cdot 3^{4} \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{24} \cdot 17^{2} \) |
$2.62889$ |
$(a+1), (a+4), (a-4), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.277245289$ |
3.326943479 |
\( \frac{1845026709625}{793152} \) |
\( \bigl[i\) , \( 1\) , \( i\) , \( -2299\) , \( 41857\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}-2299{x}+41857$ |
| 88434.2-i4 |
88434.2-i |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
88434.2 |
\( 2 \cdot 3^{2} \cdot 17^{3} \) |
\( 2^{12} \cdot 3^{12} \cdot 17^{8} \) |
$3.08193$ |
$(a+1), (a+4), (a-4), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.201725579$ |
2.420706948 |
\( \frac{1845026709625}{793152} \) |
\( \bigl[1\) , \( -i\) , \( 1\) , \( 2044 i + 3832\) , \( 80613 i - 72862\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-i{x}^{2}+\left(2044i+3832\right){x}+80613i-72862$ |
| 88434.3-g4 |
88434.3-g |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
88434.3 |
\( 2 \cdot 3^{2} \cdot 17^{3} \) |
\( 2^{12} \cdot 3^{12} \cdot 17^{8} \) |
$3.08193$ |
$(a+1), (a+4), (a-4), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.201725579$ |
2.420706948 |
\( \frac{1845026709625}{793152} \) |
\( \bigl[i\) , \( -i\) , \( i\) , \( -2044 i + 3833\) , \( 80613 i + 72862\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-i{x}^{2}+\left(-2044i+3833\right){x}+80613i+72862$ |
*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.
