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
9216.2-c1
9216.2-c
$4$
$4$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
9216.2
\( 2^{10} \cdot 3^{2} \)
\( 2^{18} \cdot 3^{8} \)
$2.90383$
$(-a), (a-1), (2)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{2} \)
$1$
$2.345364298$
1.414307886
\( \frac{97336}{81} \)
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \)
${y}^2={x}^{3}-{x}^{2}+8{x}-8$
288.1-d1
288.1-d
$4$
$4$
\(\Q(\sqrt{-22}) \)
$2$
$[0, 1]$
288.1
\( 2^{5} \cdot 3^{2} \)
\( 2^{6} \cdot 3^{8} \)
$3.45325$
$(2,a), (3)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2Cs
$4$
\( 2^{3} \)
$1$
$4.690728597$
2.000133394
\( \frac{97336}{81} \)
\( \bigl[a\) , \( -1\) , \( 0\) , \( 16\) , \( -15\bigr] \)
${y}^2+a{x}{y}={x}^3-{x}^2+16{x}-15$
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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.