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
144.1-CMa1
144.1-CMa
$2$
$2$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
144.1
\( 2^{4} \cdot 3^{2} \)
\( 2^{8} \cdot 3^{6} \)
$0.53615$
$(-2a+1), (2)$
0
$\Z/2\Z\oplus\Z/6\Z$
$\textsf{yes}$
$-3$
$\mathrm{U}(1)$
✓
✓
✓
$2, 3$
2Cs , 3B.1.1[2]
$1$
\( 2^{2} \cdot 3 \)
$1$
$5.108115717$
0.491528664
\( 0 \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \)
${y}^2={x}^{3}+1$
144.1-CMa2
144.1-CMa
$2$
$2$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
144.1
\( 2^{4} \cdot 3^{2} \)
\( 2^{16} \cdot 3^{6} \)
$0.53615$
$(-2a+1), (2)$
0
$\Z/6\Z$
$\textsf{yes}$
$-12$
$\mathrm{U}(1)$
✓
✓
✓
$3$
3B.1.1[2]
$1$
\( 2 \cdot 3 \)
$1$
$2.554057858$
0.491528664
\( 54000 \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -15\) , \( 22\bigr] \)
${y}^2={x}^{3}-15{x}+22$
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*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.