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-e3 121.1-e $3$
$25$
\(\Q(\sqrt{-26}) \) $2$
$[0, 1]$
121.1
\( 11^{2} \)
\( 2^{12} \cdot 11^{2} \)
$3.02240$
$(11)$
$2$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$5$
5Cs.4.1 $1$
\( 1 \)
$1.175793404$
$9.257718117$
8.539025099
\( -\frac{4096}{11} \)
\( \bigl[0\) , \( -1\) , \( 0\) , \( -1\) , \( -1\bigr] \) ${y}^2={x}^3-{x}^2-{x}-1$
121.1-f3 121.1-f $3$
$25$
\(\Q(\sqrt{-26}) \) $2$
$[0, 1]$
121.1
\( 11^{2} \)
\( 11^{2} \)
$3.02240$
$(11)$
0
$\Z/5\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$5$
5Cs.1.1 $4$
\( 1 \)
$1$
$9.257718117$
0.290494063
\( -\frac{4096}{11} \)
\( \bigl[0\) , \( -1\) , \( 1\) , \( 0\) , \( 0\bigr] \) ${y}^2+{y}={x}^3-{x}^2$
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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.
