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
13122.1-d2 13122.1-d $2$
$3$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
13122.1
\( 2 \cdot 3^{8} \)
\( 2^{12} \cdot 3^{8} \)
$1.91280$
$(a+1), (3)$
0
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2, 3$
2Cn , 3B.1.1 $1$
\( 2^{2} \cdot 3 \)
$1$
$3.305583379$
4.407444505
\( \frac{109503}{64} \)
\( \bigl[1\) , \( -1\) , \( 1\) , \( 4\) , \( -1\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+4{x}-1$
1458.1-n2 1458.1-n $2$
$3$
\(\Q(\sqrt{3}) \) $2$
$[2, 0]$
1458.1
\( 2 \cdot 3^{6} \)
\( 2^{12} \cdot 3^{8} \)
$1.91280$
$(a+1), (a)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$3$
3B.1.2 $1$
\( 2 \cdot 3 \)
$0.101978294$
$6.439972360$
2.275005083
\( \frac{109503}{64} \)
\( \bigl[a\) , \( 0\) , \( a\) , \( 3\) , \( 0\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+3{x}$
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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.
