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
99372.5-k3
99372.5-k
$5$
$9$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
99372.5
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 13^{2} \)
\( 2^{18} \cdot 3^{6} \cdot 7^{6} \cdot 13^{6} \)
$2.74799$
$(-2a+1), (-3a+1), (3a-2), (-4a+1), (4a-3), (2)$
$1$
$\Z/3\Z\oplus\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$3$
3Cs.1.1[2]
$1$
\( 2 \cdot 3^{7} \)
$0.161833587$
$0.299899943$
6.052546994
\( -\frac{198461344537}{10417365504} \)
\( \bigl[a\) , \( 0\) , \( 1\) , \( 121 a\) , \( -4948\bigr] \)
${y}^2+a{x}{y}+{y}={x}^{3}+121a{x}-4948$
Download
displayed columns for
results
to
Text
Pari/GP
SageMath
Magma
Oscar
CSV
*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.