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-a1
99.1-a
$2$
$2$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
99.1
\( 3^{2} \cdot 11 \)
\( 3^{9} \cdot 11^{2} \)
$0.93485$
$(-a), (-2a+1)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{2} \)
$1$
$2.452601877$
1.478974579
\( -\frac{393194}{11} a - 1506561 \)
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -10 a - 17\) , \( 41 a + 6\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-10a-17\right){x}+41a+6$
99.1-a2
99.1-a
$2$
$2$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
99.1
\( 3^{2} \cdot 11 \)
\( 3^{9} \cdot 11 \)
$0.93485$
$(-a), (-2a+1)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2 \)
$1$
$4.905203755$
1.478974579
\( -\frac{7136}{11} a + \frac{11895}{11} \)
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -2\) , \( a\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}-2{x}+a$
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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.