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
1444.1-a1
1444.1-a
$1$
$1$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
1444.1
\( 2^{2} \cdot 19^{2} \)
\( 2^{4} \cdot 19^{2} \)
$1.10169$
$(a+1), (19)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 1 \)
$0.147598025$
$4.830783773$
1.426028288
\( -\frac{4194304}{19} \)
\( \bigl[0\) , \( i\) , \( i + 1\) , \( 5\) , \( 6 i\bigr] \)
${y}^2+\left(i+1\right){y}={x}^{3}+i{x}^{2}+5{x}+6i$
92416.1-h1
92416.1-h
$1$
$1$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
92416.1
\( 2^{8} \cdot 19^{2} \)
\( 2^{16} \cdot 19^{2} \)
$3.11606$
$(a+1), (19)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 1 \)
$1$
$2.415391886$
2.415391886
\( -\frac{4194304}{19} \)
\( \bigl[0\) , \( -i\) , \( 0\) , \( 21\) , \( 31 i\bigr] \)
${y}^2={x}^{3}-i{x}^{2}+21{x}+31i$
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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.