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
1089.1-a4 1089.1-a $4$
$4$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
1089.1
\( 3^{2} \cdot 11^{2} \)
\( 3^{6} \cdot 11^{8} \)
$1.02666$
$(3), (11)$
$1$
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2B $1$
\( 2^{2} \cdot 3 \)
$0.966388507$
$1.025585977$
1.486671752
\( \frac{347873904937}{395307} \)
\( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) ${y}^2+{x}{y}={x}^{3}+{x}^{2}-146{x}+621$
9801.1-b4 9801.1-b $4$
$4$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
9801.1
\( 3^{4} \cdot 11^{2} \)
\( 3^{18} \cdot 11^{8} \)
$1.77822$
$(3), (11)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2B $4$
\( 2^{4} \)
$1$
$0.341861992$
1.367447969
\( \frac{347873904937}{395307} \)
\( \bigl[i\) , \( 1\) , \( i\) , \( -1318\) , \( 18084\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}-1318{x}+18084$
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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.
