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
92.2-a1
92.2-a
$3$
$9$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
92.2
\( 2^{2} \cdot 23 \)
\( 2^{4} \cdot 23 \)
$0.91787$
$(a-5), (2)$
0
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$3$
3B.1.1
$1$
\( 2 \)
$1$
$8.238724756$
1.104030657
\( -\frac{36793}{92} a + \frac{61739}{23} \)
\( \bigl[a\) , \( -a + 1\) , \( 1\) , \( -1\) , \( 0\bigr] \)
${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}-{x}$
92.2-a2
92.2-a
$3$
$9$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
92.2
\( 2^{2} \cdot 23 \)
\( 2^{4} \cdot 23^{9} \)
$0.91787$
$(a-5), (2)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$3$
3B.1.2
$1$
\( 2 \)
$1$
$0.915413861$
1.104030657
\( \frac{34638770834904571}{3602305322926} a - \frac{15822278661193189}{7204610645852} \)
\( \bigl[a\) , \( -a + 1\) , \( 1\) , \( -25 a - 71\) , \( -116 a - 206\bigr] \)
${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-25a-71\right){x}-116a-206$
92.2-a3
92.2-a
$3$
$9$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
92.2
\( 2^{2} \cdot 23 \)
\( 2^{12} \cdot 23^{3} \)
$0.91787$
$(a-5), (2)$
0
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$3$
3Cs.1.1
$1$
\( 2 \cdot 3 \)
$1$
$2.746241585$
1.104030657
\( -\frac{4146024701}{389344} a + \frac{7105449359}{778688} \)
\( \bigl[a\) , \( -a + 1\) , \( 1\) , \( -5 a + 9\) , \( -4 a - 14\bigr] \)
${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-5a+9\right){x}-4a-14$
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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.