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
147.1-a6
147.1-a
$8$
$16$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
147.1
\( 3 \cdot 7^{2} \)
\( 3^{4} \cdot 7^{8} \)
$1.07785$
$(a), (7)$
0
$\Z/2\Z\oplus\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2Cs
$4$
\( 2^{4} \)
$1$
$3.256081743$
0.939949835
\( \frac{13027640977}{21609} \)
\( \bigl[1\) , \( 0\) , \( 0\) , \( -49\) , \( -136\bigr] \)
${y}^2+{x}{y}={x}^{3}-49{x}-136$
147.1-b6
147.1-b
$8$
$16$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
147.1
\( 3 \cdot 7^{2} \)
\( 3^{4} \cdot 7^{8} \)
$1.07785$
$(a), (7)$
$1$
$\Z/2\Z\oplus\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2Cs
$1$
\( 2^{3} \)
$1.492598417$
$14.60752776$
1.573508462
\( \frac{13027640977}{21609} \)
\( \bigl[a\) , \( -1\) , \( 0\) , \( -49\) , \( 136\bigr] \)
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-49{x}+136$
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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.