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
121.2-a2 121.2-a $3$
$25$
\(\Q(\sqrt{-13}) \) $2$
$[0, 1]$
121.2
\( 11^{2} \)
\( 11^{10} \)
$2.13716$
$(11,a+3), (11,a+8)$
$1$
$\Z/5\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$5$
5Cs.1.1 $1$
\( 5^{2} \)
$1.272491421$
$1.851543623$
1.306914364
\( -\frac{122023936}{161051} \)
\( \bigl[0\) , \( -1\) , \( 1\) , \( -10\) , \( -20\bigr] \) ${y}^2+{y}={x}^3-{x}^2-10{x}-20$
11.1-c2 11.1-c $3$
$25$
\(\Q(\sqrt{-429}) \) $2$
$[0, 1]$
11.1
\( 11 \)
\( 11^{10} \cdot 13^{12} \)
$6.74133$
$(11,a)$
$2$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$5$
5Cs.4.1 $1$
\( 2 \cdot 5 \)
$1.948375663$
$3.703087246$
6.966874547
\( -\frac{122023936}{161051} \)
\( \bigl[0\) , \( 1\) , \( a\) , \( -1746\) , \( 50402\bigr] \) ${y}^2+a{y}={x}^3+{x}^2-1746{x}+50402$
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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.
