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
29584.2-a1
29584.2-a
$2$
$3$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
29584.2
\( 2^{4} \cdot 43^{2} \)
\( 2^{16} \cdot 43^{2} \)
$2.02985$
$(-7a+1), (7a-6), (2)$
$1$
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B.1.1[2]
$1$
\( 3 \)
$0.760139663$
$2.498288825$
1.461888159
\( -\frac{1024000}{43} \)
\( \bigl[0\) , \( 1\) , \( 0\) , \( -13\) , \( 15\bigr] \)
${y}^2={x}^{3}+{x}^{2}-13{x}+15$
29584.2-a2
29584.2-a
$2$
$3$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
29584.2
\( 2^{4} \cdot 43^{2} \)
\( 2^{16} \cdot 43^{6} \)
$2.02985$
$(-7a+1), (7a-6), (2)$
$1$
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B.1.1[2]
$1$
\( 3^{3} \)
$0.253379887$
$0.832762941$
1.461888159
\( \frac{128000000}{79507} \)
\( \bigl[0\) , \( 1\) , \( 0\) , \( 67\) , \( 79\bigr] \)
${y}^2={x}^{3}+{x}^{2}+67{x}+79$
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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.