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
12996.2-b3
12996.2-b
$4$
$6$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
12996.2
\( 2^{2} \cdot 3^{2} \cdot 19^{2} \)
\( 2^{12} \cdot 3^{6} \cdot 19^{2} \)
$2.52429$
$(a), (-a+1), (3), (19)$
$1$
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.1
$1$
\( 2^{2} \cdot 3^{3} \)
$0.716184649$
$2.429312260$
7.891155039
\( \frac{57066625}{32832} \)
\( \bigl[1\) , \( 0\) , \( 0\) , \( -8\) , \( 0\bigr] \)
${y}^2+{x}{y}={x}^{3}-8{x}$
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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.