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
121.1-c3 121.1-c $3$
$25$
\(\Q(\sqrt{19}) \) $2$
$[2, 0]$
121.1
\( 11^{2} \)
\( 11^{2} \)
$2.58370$
$(11)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$5$
5B.4.1 $1$
\( 1 \)
$5.612837583$
$8.512583687$
10.96142633
\( -\frac{4096}{11} \)
\( \bigl[0\) , \( 1\) , \( a\) , \( 0\) , \( -5\bigr] \) ${y}^2+a{y}={x}^{3}+{x}^{2}-5$
121.1-d3 121.1-d $3$
$25$
\(\Q(\sqrt{19}) \) $2$
$[2, 0]$
121.1
\( 11^{2} \)
\( 11^{2} \)
$2.58370$
$(11)$
$1$
$\Z/5\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$5$
5B.1.1 $1$
\( 1 \)
$3.478753825$
$40.27230645$
1.285622281
\( -\frac{4096}{11} \)
\( \bigl[0\) , \( -1\) , \( 1\) , \( 0\) , \( 0\bigr] \) ${y}^2+{y}={x}^{3}-{x}^{2}$
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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.
