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
2888.2-a1
2888.2-a
$1$
$1$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
2888.2
\( 2^{3} \cdot 19^{2} \)
\( 2^{4} \cdot 19^{2} \)
$1.85282$
$(a), (-3a+1), (3a+1)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 2 \)
$0.065414869$
$6.794444758$
1.257116264
\( -\frac{1024}{19} \)
\( \bigl[0\) , \( 1\) , \( a\) , \( 0\) , \( 0\bigr] \)
${y}^2+a{y}={x}^{3}+{x}^{2}$
5776.2-f1
5776.2-f
$1$
$1$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
5776.2
\( 2^{4} \cdot 19^{2} \)
\( 2^{4} \cdot 19^{2} \)
$2.20338$
$(a), (-3a+1), (3a+1)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 1 \)
$1$
$6.794444758$
4.804397963
\( -\frac{1024}{19} \)
\( \bigl[0\) , \( -1\) , \( a\) , \( 0\) , \( 1\bigr] \)
${y}^2+a{y}={x}^{3}-{x}^{2}+1$
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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.