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-b1
6498.1-b
$4$
$6$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
6498.1
\( 2 \cdot 3^{2} \cdot 19^{2} \)
\( 2^{2} \cdot 3^{4} \cdot 19^{12} \)
$1.60459$
$(a+1), (3), (19)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.2
$1$
\( 2^{3} \cdot 3 \)
$1$
$0.404885376$
2.429312260
\( -\frac{8078253774625}{846825858} \)
\( \bigl[1\) , \( 0\) , \( 0\) , \( -418\) , \( -3610\bigr] \)
${y}^2+{x}{y}={x}^{3}-418{x}-3610$
58482.1-c1
58482.1-c
$4$
$6$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
58482.1
\( 2 \cdot 3^{4} \cdot 19^{2} \)
\( 2^{2} \cdot 3^{16} \cdot 19^{12} \)
$2.77923$
$(a+1), (3), (19)$
$2$
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B.1.1
$1$
\( 2^{4} \cdot 3 \)
$6.214136413$
$0.134961792$
4.472911933
\( -\frac{8078253774625}{846825858} \)
\( \bigl[i\) , \( 1\) , \( 0\) , \( -3762\) , \( -97470\bigr] \)
${y}^2+i{x}{y}={x}^{3}+{x}^{2}-3762{x}-97470$
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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.