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
44100.5-s6 44100.5-s $8$
$12$
\(\Q(\sqrt{-11}) \) $2$
$[0, 1]$
44100.5
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)
\( 2^{16} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \)
$4.29482$
$(-a), (a-1), (-a-1), (a-2), (2), (7)$
$1$
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2, 3$
2B , 3B.1.1 $1$
\( 2^{3} \cdot 3^{4} \)
$0.934397822$
$0.594744508$
12.06419678
\( \frac{13619385906841}{6048000} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -498\) , \( 4228\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-498{x}+4228$
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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.
