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
441.1-d2 441.1-d $6$
$8$
\(\Q(\sqrt{5}) \) $2$
$[2, 0]$
441.1
\( 3^{2} \cdot 7^{2} \)
\( 3^{4} \cdot 7^{2} \)
$0.91566$
$(3), (7)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2B $1$
\( 2 \)
$1$
$13.02432697$
0.728082011
\( \frac{103823}{63} \)
\( \bigl[1\) , \( 0\) , \( 0\) , \( 1\) , \( 0\bigr] \) ${y}^2+{x}{y}={x}^{3}+{x}$
3969.1-d2 3969.1-d $6$
$8$
\(\Q(\sqrt{5}) \) $2$
$[2, 0]$
3969.1
\( 3^{4} \cdot 7^{2} \)
\( 3^{16} \cdot 7^{2} \)
$1.58597$
$(3), (7)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2B $1$
\( 2^{2} \)
$0.472574897$
$4.869175922$
2.058121966
\( \frac{103823}{63} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( 9\) , \( 0\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}+9{x}$
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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.
