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
11552.2-a1
11552.2-a
$1$
$1$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
11552.2
\( 2^{5} \cdot 19^{2} \)
\( 2^{6} \cdot 19^{2} \)
$2.62028$
$(a), (-3a+1), (3a+1)$
$2$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 2 \)
$0.071171000$
$5.963775842$
2.401039863
\( \frac{27000}{19} \)
\( \bigl[a\) , \( -1\) , \( a\) , \( 3\) , \( 0\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+3{x}$
11552.2-h1
11552.2-h
$1$
$1$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
11552.2
\( 2^{5} \cdot 19^{2} \)
\( 2^{6} \cdot 19^{2} \)
$2.62028$
$(a), (-3a+1), (3a+1)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 2 \)
$1$
$5.963775842$
8.434052680
\( \frac{27000}{19} \)
\( \bigl[a\) , \( -1\) , \( 0\) , \( 2\) , \( -1\bigr] \)
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+2{x}-1$
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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.