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
99.1-a4
99.1-a
$4$
$4$
\(\Q(\sqrt{22}) \)
$2$
$[2, 0]$
99.1
\( 3^{2} \cdot 11 \)
\( 3^{6} \cdot 11^{8} \)
$2.64417$
$(-a+5), (a+5), (7a-33)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{3} \)
$1.403122864$
$1.883253066$
1.126738256
\( \frac{347873904937}{395307} \)
\( \bigl[a + 1\) , \( a\) , \( a\) , \( 2424632 a - 11372491\) , \( 4445368919 a - 20850628364\bigr] \)
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(2424632a-11372491\right){x}+4445368919a-20850628364$
99.1-b4
99.1-b
$4$
$4$
\(\Q(\sqrt{22}) \)
$2$
$[2, 0]$
99.1
\( 3^{2} \cdot 11 \)
\( 3^{6} \cdot 11^{8} \)
$2.64417$
$(-a+5), (a+5), (7a-33)$
$1$
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{3} \)
$4.673520496$
$8.936252827$
4.452031855
\( \frac{347873904937}{395307} \)
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \)
${y}^2+{x}{y}={x}^{3}+{x}^{2}-146{x}+621$
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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.