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
58482.1-a1
58482.1-a
$2$
$2$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
58482.1
\( 2 \cdot 3^{4} \cdot 19^{2} \)
\( 2^{4} \cdot 3^{6} \cdot 19^{2} \)
$2.77923$
$(a+1), (3), (19)$
$2$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{2} \)
$0.237879944$
$3.855564791$
3.668646161
\( \frac{132651}{76} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( -3\) , \( 1\bigr] \)
${y}^2+{x}{y}={x}^{3}-{x}^{2}-3{x}+1$
58482.1-g1
58482.1-g
$2$
$2$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
58482.1
\( 2 \cdot 3^{4} \cdot 19^{2} \)
\( 2^{4} \cdot 3^{18} \cdot 19^{2} \)
$2.77923$
$(a+1), (3), (19)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{3} \)
$1.551718204$
$1.285188263$
7.977000101
\( \frac{132651}{76} \)
\( \bigl[i\) , \( 1\) , \( i\) , \( -28\) , \( -1\bigr] \)
${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}-28{x}-1$
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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.