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
12996.2-c4 12996.2-c $4$
$6$
\(\Q(\sqrt{-11}) \) $2$
$[0, 1]$
12996.2
\( 2^{2} \cdot 3^{2} \cdot 19^{2} \)
\( 2^{4} \cdot 3^{2} \cdot 19^{6} \)
$3.16437$
$(-a), (a-1), (2), (19)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2, 3$
2B , 3B.1.2 $1$
\( 2 \cdot 3 \)
$5.308735666$
$0.809770753$
7.776928326
\( \frac{8671983378625}{82308} \)
\( \bigl[1\) , \( 0\) , \( 0\) , \( -428\) , \( -3444\bigr] \) ${y}^2+{x}{y}={x}^{3}-428{x}-3444$
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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.
