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-c5 22050.2-c $8$
$12$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
22050.2
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)
\( 2^{4} \cdot 3^{4} \cdot 5^{12} \cdot 7^{12} \)
$2.17781$
$(a+1), (-a-2), (2a+1), (3), (7)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2, 3$
2Cs , 3B.1.2 $1$
\( 2^{6} \cdot 3 \)
$1$
$0.181789683$
2.181476201
\( \frac{2179252305146449}{66177562500} \)
\( \bigl[i\) , \( 0\) , \( 0\) , \( -2701\) , \( 52819\bigr] \) ${y}^2+i{x}{y}={x}^{3}-2701{x}+52819$
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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.
