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
484.2-a1
484.2-a
$2$
$3$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
484.2
\( 2^{2} \cdot 11^{2} \)
\( 2^{4} \cdot 11^{6} \)
$1.18548$
$(a), (a+3), (a-3)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B.1.2
$1$
\( 1 \)
$1$
$2.457445862$
1.737676634
\( -\frac{199794688}{1331} \)
\( \bigl[0\) , \( 1\) , \( a\) , \( -19\) , \( 27\bigr] \)
${y}^2+a{y}={x}^{3}+{x}^{2}-19{x}+27$
484.2-a2
484.2-a
$2$
$3$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
484.2
\( 2^{2} \cdot 11^{2} \)
\( 2^{4} \cdot 11^{2} \)
$1.18548$
$(a), (a+3), (a-3)$
0
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B.1.1
$1$
\( 3 \)
$1$
$7.372337588$
1.737676634
\( \frac{8192}{11} \)
\( \bigl[0\) , \( 1\) , \( a\) , \( 1\) , \( 1\bigr] \)
${y}^2+a{y}={x}^{3}+{x}^{2}+{x}+1$
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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.