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
360.1-b5
360.1-b
$6$
$8$
\(\Q(\sqrt{10}) \)
$2$
$[2, 0]$
360.1
\( 2^{3} \cdot 3^{2} \cdot 5 \)
\( 2^{22} \cdot 3^{8} \cdot 5^{2} \)
$2.46175$
$(2,a), (3,a+1), (3,a+2), (5,a)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2Cs
$1$
\( 2^{6} \)
$1$
$3.099602540$
1.960360774
\( \frac{546718898}{405} \)
\( \bigl[0\) , \( 1\) , \( 0\) , \( -216\) , \( -1296\bigr] \)
${y}^2={x}^{3}+{x}^{2}-216{x}-1296$
360.1-l5
360.1-l
$6$
$8$
\(\Q(\sqrt{10}) \)
$2$
$[2, 0]$
360.1
\( 2^{3} \cdot 3^{2} \cdot 5 \)
\( 2^{10} \cdot 3^{8} \cdot 5^{2} \)
$2.46175$
$(2,a), (3,a+1), (3,a+2), (5,a)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2Cs
$4$
\( 2^{4} \)
$1$
$3.099602540$
1.960360774
\( \frac{546718898}{405} \)
\( \bigl[a\) , \( 1\) , \( a\) , \( -55\) , \( -217\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-55{x}-217$
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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.