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
6498.1-b3 6498.1-b $4$
$6$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
6498.1
\( 2 \cdot 3^{2} \cdot 19^{2} \)
\( 2^{12} \cdot 3^{6} \cdot 19^{2} \)
$1.60459$
$(a+1), (3), (19)$
0
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2, 3$
2B , 3B.1.1 $1$
\( 2^{2} \cdot 3^{2} \)
$1$
$2.429312260$
2.429312260
\( \frac{57066625}{32832} \)
\( \bigl[i\) , \( 0\) , \( 0\) , \( -8\) , \( 0\bigr] \) ${y}^2+i{x}{y}={x}^{3}-8{x}$
58482.1-c3 58482.1-c $4$
$6$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
58482.1
\( 2 \cdot 3^{4} \cdot 19^{2} \)
\( 2^{12} \cdot 3^{18} \cdot 19^{2} \)
$2.77923$
$(a+1), (3), (19)$
$2$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2, 3$
2B , 3B.1.2 $1$
\( 2^{3} \)
$0.690459601$
$0.809770753$
4.472911933
\( \frac{57066625}{32832} \)
\( \bigl[i\) , \( 1\) , \( 0\) , \( -72\) , \( 0\bigr] \) ${y}^2+i{x}{y}={x}^{3}+{x}^{2}-72{x}$
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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.
