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
43218.2-b2
43218.2-b
$2$
$3$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
43218.2
\( 2 \cdot 3^{2} \cdot 7^{4} \)
\( 2^{10} \cdot 3^{6} \cdot 7^{20} \)
$3.64418$
$(a), (-a-1), (a-1), (7)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B
$1$
\( 2 \)
$6.331157768$
$0.175321226$
3.139515489
\( \frac{596183}{864} \)
\( \bigl[1\) , \( 1\) , \( 0\) , \( 1151\) , \( 18901\bigr] \)
${y}^2+{x}{y}={x}^{3}+{x}^{2}+1151{x}+18901$
43218.2-d2
43218.2-d
$2$
$3$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
43218.2
\( 2 \cdot 3^{2} \cdot 7^{4} \)
\( 2^{10} \cdot 3^{6} \cdot 7^{8} \)
$3.64418$
$(a), (-a-1), (a-1), (7)$
$1$
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B.1.1
$1$
\( 2 \cdot 3^{3} \)
$0.608811960$
$1.227248586$
6.339893535
\( \frac{596183}{864} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( 23\) , \( -52\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+23{x}-52$
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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.