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
1458.1-c2
1458.1-c
$3$
$9$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
1458.1
\( 2 \cdot 3^{6} \)
\( 2^{18} \cdot 3^{22} \)
$1.10435$
$(a+1), (3)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B.1.2
$1$
\( 2 \)
$1$
$0.626126136$
1.252252272
\( -\frac{1167051}{512} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( -123\) , \( -667\bigr] \)
${y}^2+{x}{y}={x}^{3}-{x}^{2}-123{x}-667$
1458.1-d2
1458.1-d
$3$
$9$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
1458.1
\( 2 \cdot 3^{6} \)
\( 2^{18} \cdot 3^{10} \)
$1.10435$
$(a+1), (3)$
$1$
$\Z/9\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B.1.1
$1$
\( 2 \cdot 3^{3} \)
$0.693964260$
$1.878378408$
1.738036644
\( -\frac{1167051}{512} \)
\( \bigl[i\) , \( 1\) , \( i\) , \( -13\) , \( -29\bigr] \)
${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}-13{x}-29$
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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.