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
13122.5-d1
13122.5-d
$4$
$21$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
13122.5
\( 2 \cdot 3^{8} \)
\( 2^{14} \cdot 3^{12} \)
$2.70510$
$(a), (-a-1), (a-1)$
$1$
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3, 7$
2Cn , 3B.1.1 , 7B
$1$
\( 2 \cdot 3^{2} \)
$2.101119730$
$0.583485219$
3.467573330
\( -\frac{189613868625}{128} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( -1077\) , \( 13877\bigr] \)
${y}^2+{x}{y}={x}^{3}-{x}^{2}-1077{x}+13877$
13122.5-e1
13122.5-e
$4$
$21$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
13122.5
\( 2 \cdot 3^{8} \)
\( 2^{14} \cdot 3^{24} \)
$2.70510$
$(a), (-a-1), (a-1)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3, 7$
2Cn , 3B.1.2 , 7B.2.3
$1$
\( 2 \cdot 7 \)
$1$
$0.194495073$
1.925402993
\( -\frac{189613868625}{128} \)
\( \bigl[1\) , \( -1\) , \( 1\) , \( -9695\) , \( -364985\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-9695{x}-364985$
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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.