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
39600.5-h1
39600.5-h
$8$
$12$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
39600.5
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)
\( 2^{8} \cdot 3^{4} \cdot 5^{24} \cdot 11^{2} \)
$4.18079$
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2Cs , 3B.1.2
$9$
\( 2^{5} \cdot 3 \)
$1$
$0.100866121$
3.284526242
\( -\frac{26348629355659264}{24169921875} \)
\( \bigl[0\) , \( 1\) , \( 0\) , \( -15621\) , \( -757296\bigr] \)
${y}^2={x}^{3}+{x}^{2}-15621{x}-757296$
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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.