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
22050.2-e1 22050.2-e $8$
$12$
\(\Q(\sqrt{-2}) \) $2$
$[0, 1]$
22050.2
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)
\( 2^{6} \cdot 3^{24} \cdot 5^{8} \cdot 7^{2} \)
$3.07989$
$(a), (-a-1), (a-1), (5), (7)$
0
$\Z/12\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2, 3$
2B , 3B.1.1 $1$
\( 2^{7} \cdot 3^{3} \)
$1$
$0.272684525$
4.627609845
\( -\frac{58818484369}{18600435000} \)
\( \bigl[1\) , \( 0\) , \( 0\) , \( -81\) , \( 6561\bigr] \) ${y}^2+{x}{y}={x}^{3}-81{x}+6561$
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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.
