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-c3 6498.1-c $4$
$4$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
6498.1
\( 2 \cdot 3^{2} \cdot 19^{2} \)
\( 2^{20} \cdot 3^{12} \cdot 19^{4} \)
$1.60459$
$(a+1), (3), (19)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2Cs $1$
\( 2^{4} \cdot 3 \cdot 5 \)
$1$
$0.220969325$
3.314539880
\( \frac{18120364883707393}{269485056} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( -5472\) , \( -158079\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-5472{x}-158079$
58482.1-b3 58482.1-b $4$
$4$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
58482.1
\( 2 \cdot 3^{4} \cdot 19^{2} \)
\( 2^{20} \cdot 3^{24} \cdot 19^{4} \)
$2.77923$
$(a+1), (3), (19)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2Cs $16$
\( 2^{4} \)
$1$
$0.073656441$
1.178503068
\( \frac{18120364883707393}{269485056} \)
\( \bigl[i\) , \( 1\) , \( 0\) , \( -49248\) , \( -4218880\bigr] \) ${y}^2+i{x}{y}={x}^{3}+{x}^{2}-49248{x}-4218880$
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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.
