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
10927.5-a1
10927.5-a
$1$
$1$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
10927.5
\( 7^{2} \cdot 223 \)
\( 7^{3} \cdot 223 \)
$1.58243$
$(3a-2), (-17a+6)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
$1$
\( 2 \)
$0.099901016$
$4.992176427$
2.303505181
\( -\frac{663552}{223} a + \frac{1880064}{223} \)
\( \bigl[0\) , \( a + 1\) , \( 1\) , \( 2 a - 3\) , \( -a\bigr] \)
${y}^2+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(2a-3\right){x}-a$
10927.5-b1
10927.5-b
$2$
$2$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
10927.5
\( 7^{2} \cdot 223 \)
\( 7^{3} \cdot 223 \)
$1.58243$
$(3a-2), (-17a+6)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2 \)
$1$
$5.495446015$
3.172797236
\( -\frac{2184}{223} a + \frac{2843}{223} \)
\( \bigl[a + 1\) , \( -a + 1\) , \( 1\) , \( -a\) , \( -a\bigr] \)
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}-a{x}-a$
10927.5-b2
10927.5-b
$2$
$2$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
10927.5
\( 7^{2} \cdot 223 \)
\( 7^{3} \cdot 223^{2} \)
$1.58243$
$(3a-2), (-17a+6)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{2} \)
$1$
$2.747723007$
3.172797236
\( -\frac{2555809158}{49729} a + \frac{3536939573}{49729} \)
\( \bigl[a + 1\) , \( -a + 1\) , \( 1\) , \( -6 a + 15\) , \( -21 a + 4\bigr] \)
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-6a+15\right){x}-21a+4$
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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.