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
132.1-d3
132.1-d
$6$
$8$
\(\Q(\sqrt{33}) \)
$2$
$[2, 0]$
132.1
\( 2^{2} \cdot 3 \cdot 11 \)
\( 2^{8} \cdot 3^{2} \cdot 11^{2} \)
$1.73996$
$(-a-2), (-a+3), (-2a+7), (-4a-9)$
0
$\Z/2\Z\oplus\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2Cs
$1$
\( 2^{6} \)
$1$
$19.43725397$
3.383591610
\( \frac{912673}{528} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( -2\) , \( -1\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-2{x}-1$
132.1-g3
132.1-g
$6$
$8$
\(\Q(\sqrt{33}) \)
$2$
$[2, 0]$
132.1
\( 2^{2} \cdot 3 \cdot 11 \)
\( 2^{8} \cdot 3^{2} \cdot 11^{2} \)
$1.73996$
$(-a-2), (-a+3), (-2a+7), (-4a-9)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2Cs
$1$
\( 2^{4} \)
$0.195042991$
$19.25559206$
1.307555860
\( \frac{912673}{528} \)
\( \bigl[1\) , \( -a\) , \( a + 1\) , \( -744 a - 1762\) , \( 440 a + 1044\bigr] \)
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-744a-1762\right){x}+440a+1044$
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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.