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
2916.2-a1
2916.2-a
$3$
$9$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
2916.2
\( 2^{2} \cdot 3^{6} \)
\( 2^{2} \cdot 3^{6} \)
$1.73734$
$(a), (-a+1), (3)$
0
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B.1.1
$1$
\( 1 \)
$1$
$5.635135226$
0.473306870
\( -\frac{132651}{2} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( -3\) , \( 3\bigr] \)
${y}^2+{x}{y}={x}^{3}-{x}^{2}-3{x}+3$
2916.2-l1
2916.2-l
$3$
$9$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
2916.2
\( 2^{2} \cdot 3^{6} \)
\( 2^{2} \cdot 3^{18} \)
$1.73734$
$(a), (-a+1), (3)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B.1.2
$1$
\( 3 \)
$1$
$1.878378408$
4.259761832
\( -\frac{132651}{2} \)
\( \bigl[1\) , \( -1\) , \( 1\) , \( -29\) , \( -53\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-29{x}-53$
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.