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
2178.1-a2
2178.1-a
$4$
$6$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
2178.1
\( 2 \cdot 3^{2} \cdot 11^{2} \)
\( 2^{2} \cdot 3^{12} \cdot 11^{4} \)
$1.22091$
$(a+1), (3), (11)$
$1$
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.1
$1$
\( 2^{3} \cdot 3 \)
$0.550897322$
$1.869402865$
1.373132044
\( \frac{9938375}{176418} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( 4\) , \( 20\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+4{x}+20$
19602.1-d2
19602.1-d
$4$
$6$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
19602.1
\( 2 \cdot 3^{4} \cdot 11^{2} \)
\( 2^{2} \cdot 3^{24} \cdot 11^{4} \)
$2.11468$
$(a+1), (3), (11)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B.1.2
$1$
\( 2^{4} \)
$0.982878380$
$0.623134288$
4.899721763
\( \frac{9938375}{176418} \)
\( \bigl[i\) , \( 1\) , \( i\) , \( 41\) , \( 547\bigr] \)
${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}+41{x}+547$
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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.