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-c2 2178.1-c $4$
$4$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
2178.1
\( 2 \cdot 3^{2} \cdot 11^{2} \)
\( 2^{8} \cdot 3^{2} \cdot 11^{2} \)
$1.22091$
$(a+1), (3), (11)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2B $1$
\( 2^{3} \)
$1$
$4.836552448$
2.418276224
\( \frac{912673}{528} \)
\( \bigl[i\) , \( -1\) , \( i\) , \( -1\) , \( 1\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-{x}+1$
19602.1-a2 19602.1-a $4$
$4$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
19602.1
\( 2 \cdot 3^{4} \cdot 11^{2} \)
\( 2^{8} \cdot 3^{14} \cdot 11^{2} \)
$2.11468$
$(a+1), (3), (11)$
$2$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2B $1$
\( 2^{3} \)
$0.209537574$
$1.612184149$
2.702505246
\( \frac{912673}{528} \)
\( \bigl[i\) , \( 1\) , \( 0\) , \( -18\) , \( -4\bigr] \) ${y}^2+i{x}{y}={x}^{3}+{x}^{2}-18{x}-4$
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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.
