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-a4
441.1-a
$6$
$8$
\(\Q(\sqrt{-163}) \)
$2$
$[0, 1]$
441.1
\( 3^{2} \cdot 7^{2} \)
\( 3^{16} \cdot 7^{2} \)
$5.22808$
$(3), (7)$
$1$
$\Z/8\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{3} \)
$61.41726292$
$1.724153859$
4.147082535
\( \frac{6570725617}{45927} \)
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \)
${y}^2+{x}{y}={x}^3-39{x}+90$
3969.1-a4
3969.1-a
$6$
$8$
\(\Q(\sqrt{-163}) \)
$2$
$[0, 1]$
3969.1
\( 3^{4} \cdot 7^{2} \)
\( 3^{28} \cdot 7^{2} \)
$9.05530$
$(3), (7)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$16$
\( 2^{2} \)
$1$
$0.574717953$
1.440492296
\( \frac{6570725617}{45927} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( -351\) , \( -2430\bigr] \)
${y}^2+{x}{y}={x}^3-{x}^2-351{x}-2430$
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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.